From 39c9f45bc1f424174fc6893621a2da585746fa02 Mon Sep 17 00:00:00 2001
From: pancetta <pancetta@users.noreply.github.com>
Date: Sat, 27 Jul 2024 09:27:01 +0000
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diff --git a/.doctrees/projects/DAE.doctree b/.doctrees/projects/DAE.doctree
index 783a5ff66b5536b73389b5b3a949629cb76b2141..144b50c79aaf49fd67d2e833d2f1ab1cf3943d51 100644
GIT binary patch
delta 1778
zcmb_cZD<>H7|#<f$@P-7iOtK>)OuZG-_~Z<mzEWWi!X)2BGvB09F4j361^-hciyEN
zvEAyBQ5hW~PqK*2x(_l?bhNucq|@mXM7P3JHt>Ur%D(uaGT0_KaQIIyZ(|l2>^>a-
zd!Fa_`#o>}%ip5@{D-1mGvt%Y)S_X-Jm_?(xWY3mJIKzm9G8kI!qb6gaK$iZ5JWMd
z;8R8kBs^`r&@odDzAe-*WjT)E@my2V!e}lH*+wTpQs?PGFjZ;KG<{GzCz$@~Sv|&>
z^sUKK0%a)4K%>QR<8E|XJL#5+2j@oIEyDMLDU=gj3+8gPnzmj6lH)|nqDhj)sbnlg
z!Zx7IW+D3b+jcu#QBtFr&cxH=w6Zg%WHbTwux~FQbY~%mv)#uafNecrQ2P{~SAXeY
zVLg<+Zx7&X|1?2e>wlY|j%@l=Lj?zpK*xbn8UHOv8ijB9B6xhW5hwlL*0wtX%bCCD
zH@nwUKkM(K9f^{L5>H9VSiM)x-Met-NN1C+>LOfSCW{uPemHU!?D;Y-o8|>sEcGIY
zA8k3|^bkOUEy4@&bPSJ2ow$G0Y;`vJ)T5)1>1|(@Xfkpnt;Cg#C<pMT$1gRLVj4}K
zZ|$|X8Vu_7tvS8criE=*D4+1%z$VSK8kqCK54a=bp|_K&;(R=VV(2s|=zH-Ba^XIl
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zw+ov=QM1AV#RO}NMBjnkspn|YDh>Ce*kwOttg*Q?t66GSFQ;-qctT+}LD=!6<ip97
zmnw}4FN+Toa#~sjlKILjdGa2Y2SHX3$ZtNO|JYnurs0wH%2goy!IDK0<qSKnT@GTw
z(5W$Z<uj6r^JBerpSp6&Y`zyPlo|Ja`!huG-1&A3$JG^Z=KLG}=0*$0<thzj>S4J<
zxr4d=xn9A$=L~*#aY*GZcmM|Q)zya@qEvNtTz_|LYlLl7jbBXosKex+hKU;kDs_Dr
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zCnJi&PE@aW!+eSzO^~qK^XXw-`OzA;>t4_<T4Aj4nG3cRZn@xDSStkGFkoryO5vsl
z*uwj6c(Phkam@`U;O+*{Q#jZOL&d8ecpcX7R&l`#UsE-m7g+cm9$dG#4cqcZiGH;B
J&PJGN{}+Ldd-VVS

delta 1795
zcmb_dZ)_7~81GYVTYFu%PTFg0w|S81w!(%Aj<Bd33>6}ix}pOTcXw-V_Mq)`y=zDX
zWhNR&GW^qLqkftgV~mj~<vuJDKA;5SknGdc7-NiNpNt_IBXJOj@7>m0_eb_Y`{B)-
z=Xrj=-~0TY_ugK=O^w~5sG+j4(E>GI<{JTvB_Syhnq^zqV=T|_-2OzjsKoGm*>QT8
zEFbQQ3yQ+w<K-y`;b-OFFhfPe;`+BMj+WNDY;g!_FWXw6qR3dVe{AjrI#}FmIl97H
zJ*aD!=zUQ6n$x`~vdPIhTniQ2bIutcM{2JgC+iQ@K_W-F4!V6iNjGv*m6CEs*(WM0
zk>`2R9^Pq+YCknN0XY2i{w%)IYr{hioU(EPLgPiMH{8{wU2bGy?Ft0it)@ddP7G!Y
z+%LhLj#D>Wn8R(^coG6f4f|G9&ov9!*}9JL5`UK$;7hG_?iFP}ZEd!B;ySM)B~o#b
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zdyQSVovmV&Y%&r{%eq-yLK|v-#9DJn*HhC%Qjru@PLn<_KRWFVERK=WNCT3X#&>!>
zzR3kqZz)jw@v%|soI^^d6RLENx9!L%;jE&H2_5PJ$~<q4F#>J-@j&JGR*OYBB8n+7
zt>kw59A?{OjL-7#=lX0AMtk23R_&%KlH{<PtIzeb_TnuLV+R+89z<?z{iPBzdhXH=
zWa9BGr&}sTB$dNm{8=h2CM4|S8EojgfK!5_Y9VhZ%m_P(Xb0!V&i*#&(T?<cz<pl#
zYAM@z<m-F<%fn<m_-54M@+_&>K8n6-CDhF?-XJR*+XP`P6dR#@p%uuDqx=y+$kZ(p
zFj58Cci-#frl<ZTT6&F^OMD1MD_-0yhm9SBpUbsG_dB@&#J1tVF|yXDTcAhVlYXni
zdd7jLZ*C5R(sF-XOb`~9m?x)IHl=1$A{P}z+<5LuZ)z?ts8WO*Xfku!iE|Fef9Iea
zd7c3~?wy>rM)u+DzXJ}QH$`yIm0{Ld65#pK`7gn47HK!GJP)t|yRSZ25`5!o$htao
zcB;?-C$vxg6v1y2@;oafqvR40PxN<F3;yM%R^>u|Hsha1EF81=BI5Pgv+ymxcXLbo
zT@0sbI-<YL?EGg=X23mE;(6t*xYLzrvlzcQBliCfq=%jQ5H`b8`KQ~U9^aj;%}+5<
z4qSekfoG`S$iG9r&JT^HqsbreLey^dn?DnPFZ07bxVEZM6C-}O2>))?gcyLYsG@Nb
Q53_LXZq+U8;fvaT06(&W>;M1&

diff --git a/.doctrees/projects/Hamiltonian.doctree b/.doctrees/projects/Hamiltonian.doctree
index 8ad6b60abaed3ac69934ba6641e946cdcaa37e59..c8416d3a169b3b0776a6c55efe819e0374269c8c 100644
GIT binary patch
delta 33
mcmbO{mu2!?mJO%>u~?W`7;ZlQPm&SLntcAB_*Q1d348$T_6+<0

delta 33
mcmbO{mu2!?mJO%>v6vef8*e`UPm&SLntcAB_*Q1d348$TDh%)d

diff --git a/.doctrees/projects/doc_fput.doctree b/.doctrees/projects/doc_fput.doctree
index 7c322be50774520c37d3d680a4ae7a9da275403e..acac6267540507900c1a427cba18709dd9f87bc0 100644
GIT binary patch
delta 37
kcmdnClyTcq#tmVvEEXmfhLisri*C+$Wno0{dfc>l0RH9-kpKVy

delta 37
kcmdnClyTcq#tmVvEapbW#*_aWi*C+$Wno0{dfc>l0R93Dg#Z8m

diff --git a/.doctrees/tutorial/doc_step_2_C.doctree b/.doctrees/tutorial/doc_step_2_C.doctree
index 045c201526951121e8be4d80b41a6ec6651a8f1f..d3956f06519aa91790c98b32b0d6b78b3165c3b0 100644
GIT binary patch
delta 1426
zcmeH_!Ab&A7=^KwB!xnV$e684Y^oW&ckaECNGq{Y!OD;}K7p$iwg?<|L5uLXjC_L%
zq+Ltb+8b1l(W>r@i~6TtAaHyBIp06$+<!0*4aT9z^W?HvvsB);^4u|<Tn@!TYBWrq
zEd189FjKXFJSrBh!vRerHc?%__(Se*RH!NuD?Kg!`~`+RyNrjd!Z5?g$Bg4W^F$@7
zB^RIdReY4=gv0Tc>EUjlGPuWZF=YlW4-$mMXRNl#2*>d`k%ocF7Bx6C)<ln@+kuhN
zYr42OP2sAVAUvUYE_Q01EEkS%XsI;LEE+`WLVA6h=8z0A?&^vRyxMfP6#i(pPID*^
zqnn}}rRzSTohtn%8a-viFD&2RHVxc!vQSvuH$)l)Evy-5(x4n$b6njF$uDe=(bcu2
s@hszu-v@!0(jlTbiIxgDyo%H4G>;L_uaGk5SB&`;|EDV+b(*)~FKw%R(*OVf

delta 1436
zcmeH{&q@MO6vnZYWQ9QtB4f5Hv9X*#*SS{`X%%WJ^hc34y?_g$g)IWdb&K$G8A&ft
zfw*hwS|6c$j8=7L3hYe1K;ZVf-}#+$J`T4(4)n)?r;F$c+t7`yF0#zjY(0&9E;bxQ
zPZxgcNocXEPafuT*Fm2q5!<M2Uj8BXw#tjMewfw|@t71nUB$yeg!(z&5)K9li^zr{
z<<attq1gsr6J2~9t>e9*P_ytDcSXuDU510HrQ)g-AuJQEs)MG+2*>>5gla0vDLSTQ
zdaQ|j3hz*sC0SiGE3`RF%YqJetF#4kIUSsfIL^|_($D>HUn(MO%9JcJYX)J~l>w=E
z(Id2?mGUaEcSM_KI98b>v!b$$aQ}EjR<@bvoLWAokTP|0!*hmebUH4#FSui4Qlkv+
zGCH`a(*%Ueaf6BDnJZ*d@y+5gA77CzV~eBRIDwK~BOA<5d49^?pZ2d#dDw2;20sBw
CcYqrJ

diff --git a/.doctrees/tutorial/doc_step_3_B.doctree b/.doctrees/tutorial/doc_step_3_B.doctree
index 556c311425d61ee83f282d996a575cb128f99f2d..f82ceefeafcc03ae4e18e8a95be8fc21a5eaf32e 100644
GIT binary patch
delta 774
zcmeyhmhsnG#tkCMeC7%UmR5!aR;K1UMurxfe_IqWp@~hdwys1M;?~#RtZVa~9aCIq
za-2&ArZAF_g^sbg;pB<>TM?>2LS{gr#>wm4OnBf<0t!#w=-xbehM@_HS_^Zq+Grya
zUSzeFlPBmmO_no8GeOa$dGan#6s0BxV5PNQC`wHxH+VNscJM~A%*4<bY?+oBstJaZ
z8@(GRzcDjKcA1G0NO8mD_2y{8ra)o&$*+7hm<@}$CSMTKm~87;I{BuB2txO0_|r4|
KH{1H{<p2P$?9Q+N

delta 778
zcmeyhmhsnG#tkCMe5MM9MplNFR;DI8MwSMfe_IqWp^6z!uC}g37vk2}-mGi$ogGtL
zXL6iN1*R~Pkg1M|nbG8l`dbmIKtkp~p~lJU+)Pk}%}v0<GYn05;VuQLwwOFYziD!`
zkqHm7=;V#=&6DMfQBAM}+0{6CmnWJq#J*ZD6eCP0E1EP<cJM|~YieKtHbTn`O>KjB
z)8sd1rpOL9H3X?`n7rN`RoKV?C@equm9GY~aWU8A3t}3RZT(6o-?R`x=pKy$Q&Sx}
L#=vG<zr7p)T`kXO

diff --git a/.doctrees/tutorial/doc_step_4_D.doctree b/.doctrees/tutorial/doc_step_4_D.doctree
index 551eb2a09ffdf8bb5bd7dd67db910e4cd6e6a580..4fb69c21b4745471d486fc64edbe2e99c822af61 100644
GIT binary patch
delta 103
zcmdnkz__u2af6Yux`DZ|sfnS1g08NDf`YN0sfB@=iJ6Hxgm0o}Xkuw>U~FW$`J$-=
O)8s-^OA<6BZ~*|_?iX|b

delta 103
zcmdnkz__u2af6Yux{0y5g|VrTg08NDf`YN0nX!e5k+~t1Z=z>tYHDm@W@ftiqNxPa
N<U&(R5;P=m0RZEX7mfe`

diff --git a/.doctrees/tutorial/doc_step_7_A.doctree b/.doctrees/tutorial/doc_step_7_A.doctree
index 38ecaf56753e05d3a4463492ff14568a2362fa05..e3986997b1282c870a9988a9fc73dc698e01b8ee 100644
GIT binary patch
delta 191
zcmcb!j`7Yq#tmHdjK-VSyPGgF8cm+)qq>>XQ-YDn#Bj2sgXm-jSNX~J-Q^~idOcw=
zGB!7vyxv`AbEUU9BeQ|2(c}h4k;%V2_$OC-YfrXydCg*BX==Lpg0BT5i<z0R$>t0<
NH%1y6&Ep@y0RU7?JrV!_

delta 171
zcmcb!j`7Yq#tmHdlN}vICKq^fZa(cU!N_E8FuC4Qbn`C{bw*}03yaMSj;4&v#wJD}
zRhtXE6&M+fCp$Q(POkLUo^0##n#I!C*l6<wUkgSSa|?6h%^7ZPj8rv{$3K7r07bSm
APyhe`

diff --git a/.doctrees/tutorial/doc_step_7_B.doctree b/.doctrees/tutorial/doc_step_7_B.doctree
index 4695171fb41e968f419eaced39129cdaf8dd0f8f..35d16a300f3229d9c76ca99ac78c107c6d0ab6f9 100644
GIT binary patch
delta 153
zcmaFf!}z?1al=~!787%Gi_ISm^cY!;3`{I0H=1ZKZm?uzF)^|<1#u=fSZYnaX?301
p(!_XkqX|%%rJ<!EP$q1$we1ZSa}zVO%}>p&fEp+_N8B!e0{|PjFns_3

delta 153
zcmaFf!}z?1al=~!7Gon*<INup^cYzTER0PiH=1ZKZm?uzF*Y;<b0#-fYE8arb)DJJ
o(r9y|2~e52si7rMS=eN2+Z!xq1_tJvpPE?#HBfGjxLp7T00~7fK>z>%

diff --git a/.doctrees/tutorial/doc_step_7_C.doctree b/.doctrees/tutorial/doc_step_7_C.doctree
index c262c2deff1c96f933268818f360e34651e20d77..b1163f82fb63848df37d37108239a6f4aebd5a39 100644
GIT binary patch
delta 138
zcmX>)o$=^&#tlB^Y({#<2F4bXKiX(be(S)#dA+p_BSOr0^AC#_CMI)BBzXr$Ab;~m
qn_kAv`|Oz*nazz&fwG#D*VqefuCoIP7@0wp%i>jGyt&EQnF9c2|1e(w

delta 138
zcmX>)o$=^&#tlB^Y=(N~rbfn-KiX(be(S)#dA+p_BSOr0^AC#_CMF9*BzXr$Ab;~m
pn_kAv`|Oz*nJvvsfwG#D*VqefuCoIRm_e1x;#Fb1xyjj?0{~`qFlzt+

diff --git a/.doctrees/tutorial/doc_step_7_D.doctree b/.doctrees/tutorial/doc_step_7_D.doctree
index 54dbf4b40ce107d310e68009e76405d7ad9d7e6b..b506f65fc6ae6dd5270992976196839b0c1526ea 100644
GIT binary patch
delta 562
zcmeH@PfEi;9EE93L#TpHO0^V9l`JM{lgTfW`Il0#3s)+FCr}sNiu3|K#Jfi;NS7W#
z&>QH=jfZg5oo8_S7T^2c+b*}uhaqcgPO_{QIaPRPG0s@n5?ok?8#ZeSftTa}Cs~B&
ztn2AoYOKbGSY;jT=3!fKr3@|dQeaNUm?vSNxfG73ah1l{W1(+386|Pcdf4Q#Z+NAI
z#A`D3s1g<SQ|k(4RpKJ8Tb5f*XwVRAKG@N`{^=hT5kAvzF*4GL^>JN<IA@Vp5-G>(
zVN`T+UvzvoN7uEJw0_A+XoIKmG%(sqXDOZK07umKBzJpfWSSM>Zekk}Yf``I+vN2B
Mls~6De$Zv`1vGAvg8%>k

delta 568
zcmeH@PfEi;7{$@VBB@}<B7s7MlEoxxGo3%l%$L$d1Xn78C(tgsRqO?N26^|Wf^_M^
z1Gw-8x^m+ooT59g;O_Bw-}igG^<uqv?DNQoTIp(DNP`caAkVvj)(Y2r8aS(QoX1#>
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diff --git a/.doctrees/tutorial/doc_step_8_C.doctree b/.doctrees/tutorial/doc_step_8_C.doctree
index c54e6773136a87e051b0d92c39f9eb216e757ab0..15ef5e3c30dbba476d481c51fd4def387eb88f3e 100644
GIT binary patch
delta 324
zcmZ3piD|<oCYA=)sj3@U<g;0B2{ABCHfW67oLLvoBw%W3W@KPwZfO7nhDHX)lM~Am
zHd{1qW8yOg%9xs(fFumeOeZV0Z`*vX5U9h@5-4G4WDb@vGP2mL*e=ElRBd2jZfI-?
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delta 326
zcmdn6iD}IyCYA=)sfrs}<g*!XZ04#vz$9R1VrgPzZf;}%0%k@glM~AmHd{4rW8yV6
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diff --git a/.doctrees/tutorial/step_2.doctree b/.doctrees/tutorial/step_2.doctree
index 9727c11239b67efc52a172aa18e1a14d391e2542..a3aa9c0fa53b63100a4526c999a8e255b771d67d 100644
GIT binary patch
delta 1506
zcmeH{F-yZx5XZsNDuTtSt<ccUS}>tWUeZCjii3-SlhsYzK}Q{g#?8e9Zr0jajKx@y
zf?8J_G(p8mOLr&z0)j7j2)*PRi0kk1|K;x9y;R*u)r~aHkK-iEs|A5CNODfj=V9`c
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delta 1508
zcmeH`ze_?<6vruf6+zOZ25QbF_~ZTZI=M<iOF>iFR!LNw4S~8f_24^KI!7j&5mI4m
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diff --git a/.doctrees/tutorial/step_3.doctree b/.doctrees/tutorial/step_3.doctree
index 61e4f857448a842a4b8c5b9f4f9257fbcc3b5079..b30153e424badc730b3c759f0eab0c6680c4aa4d 100644
GIT binary patch
delta 768
zcmZoV!rXL(d4qL1pSgm8rIn$9m8rRok)g%pfGXL|_PwD@nBrQK&-DAF32zRlQsO`p
zo7~W}1XD<7a$K_yLfAsb*xYdP#F<-Bh0G>1wlz-v(_+E{cNS3P<o~VBllQlpps2Ml
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A9RL6T

delta 760
zcmZoV!rXL(d4qL1pQ(bOk(HsPm8pr2k)^@pfGXL|_PwD@sN#k|ajnT``u)*_HwRQH
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diff --git a/.doctrees/tutorial/step_4.doctree b/.doctrees/tutorial/step_4.doctree
index 55b827745c98af4c3a991b4e0c2db7cb92e7b181..93d1826365b6bab5aadf0c529da89296d04aa1dd 100644
GIT binary patch
delta 120
zcmeBs$=vsnc|*=qbpvx_Qxii21zlYQ1qEY0Qwsw#6EhQY2;W4{(8SW%z}U!ga=>%r
Y$sb-sY?ga=jFAjYy^NccUuAOv043cd00000

delta 120
zcmeBs$=vsnc|*=qbrWNA3u99w1zlYQ1qEY0Gh+)ABXdJ2-$c*Q)YRC*%*=Fhz;olt
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diff --git a/.doctrees/tutorial/step_7.doctree b/.doctrees/tutorial/step_7.doctree
index 745c2a8c78b1d2b7588a59fa4973206e1a6a5800..8f60cd663d5d9239abe733190797bfb570eeeb44 100644
GIT binary patch
delta 1033
zcmeH@&uUXa6vjEpG?jpoTH8br4ca2y<WA<!%$+}N35eC53WZi%HP}TLg7^dy@dczX
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delta 1019
zcmeH@L2FY%6ot9Tq=hadX*8)I8l<AU<V|MgzBe<kEkUumQ$c7;s|LI1LJ)sK#D7qj
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diff --git a/.doctrees/tutorial/step_8.doctree b/.doctrees/tutorial/step_8.doctree
index 24892f5919420b51e7bff748c0574fa3528f6e74..95722fe02375cdc065e6569805ec511c553c2e83 100644
GIT binary patch
delta 351
zcmeC&#L~Nog{6UY>er1d#?M)92{ABCPIwi!x%O8)6ThjYnUR5!xupRR7#bN&4)~C`
z+2`*zCO%`JgsG_sNZi28baLQ_ZCj5q#xn^RS^^~ujm*IkMn)E!13!o{163Osm>U{f
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delta 333
zcmeC(#L~Hmg{6UY>c@>N#?KjVY?k|VfJwm2#L~pb+}y|j1k8*~CI@~<*zEUr8xx<Y
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diff --git a/_images/coverage-badge.svg b/_images/coverage-badge.svg
index 5055abd6e5..1a2e9f0ce7 100644
--- a/_images/coverage-badge.svg
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@@ -1 +1 @@
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diff --git a/_images/timings_SDC_variants_Fisher.png b/_images/timings_SDC_variants_Fisher.png
index 28af35888f9411abc2197e3134db01b657051046..4764789041f02802b0209253c59b73c0d8660e04 100644
GIT binary patch
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+                <td class="name left"><a href="z_0eb34c630be51b75_synchronousMachine_py.html#t8"><data value='SynchronousMachineInfiniteBus'>SynchronousMachineInfiniteBus</data></a></td>
                 <td>67</td>
                 <td>3</td>
                 <td>0</td>
                 <td class="right" data-ratio="64 67">96%</td>
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-                <td class="name left"><a href="z_0eb34c630be51b75_synchronous_machine_py.html"><data value=''><span class='no-noun'>(no class)</span></data></a></td>
-                <td>9</td>
+                <td class="name left"><a href="z_0eb34c630be51b75_synchronousMachine_py.html">pySDC/projects/DAE/problems/synchronousMachine.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_synchronousMachine_py.html"><data value=''><span class='no-noun'>(no class)</span></data></a></td>
+                <td>8</td>
                 <td>0</td>
                 <td>0</td>
-                <td class="right" data-ratio="9 9">100%</td>
+                <td class="right" data-ratio="8 8">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_transistor_amplifier_py.html#t14">pySDC/projects/DAE/problems/transistor_amplifier.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_transistor_amplifier_py.html#t14"><data value='one_transistor_amplifier'>one_transistor_amplifier</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_transistorAmplifier_py.html#t14">pySDC/projects/DAE/problems/transistorAmplifier.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_transistorAmplifier_py.html#t14"><data value='OneTransistorAmplifier'>OneTransistorAmplifier</data></a></td>
                 <td>20</td>
                 <td>1</td>
                 <td>0</td>
                 <td class="right" data-ratio="19 20">95%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_transistor_amplifier_py.html#t141">pySDC/projects/DAE/problems/transistor_amplifier.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_transistor_amplifier_py.html#t141"><data value='two_transistor_amplifier'>two_transistor_amplifier</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_transistorAmplifier_py.html#t141">pySDC/projects/DAE/problems/transistorAmplifier.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_transistorAmplifier_py.html#t141"><data value='TwoTransistorAmplifier'>TwoTransistorAmplifier</data></a></td>
                 <td>20</td>
                 <td>1</td>
                 <td>0</td>
                 <td class="right" data-ratio="19 20">95%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_transistor_amplifier_py.html">pySDC/projects/DAE/problems/transistor_amplifier.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_transistor_amplifier_py.html"><data value=''><span class='no-noun'>(no class)</span></data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_transistorAmplifier_py.html">pySDC/projects/DAE/problems/transistorAmplifier.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_transistorAmplifier_py.html"><data value=''><span class='no-noun'>(no class)</span></data></a></td>
                 <td>19</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="19 19">100%</td>
             </tr>
+            <tr class="region">
+                <td class="name left"><a href="z_0eb34c630be51b75_wscc9BusSystem_py.html#t576">pySDC/projects/DAE/problems/wscc9BusSystem.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_wscc9BusSystem_py.html#t576"><data value='WSCC9BusSystem'>WSCC9BusSystem</data></a></td>
+                <td>191</td>
+                <td>1</td>
+                <td>2</td>
+                <td class="right" data-ratio="190 191">99%</td>
+            </tr>
+            <tr class="region">
+                <td class="name left"><a href="z_0eb34c630be51b75_wscc9BusSystem_py.html">pySDC/projects/DAE/problems/wscc9BusSystem.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_wscc9BusSystem_py.html"><data value=''><span class='no-noun'>(no class)</span></data></a></td>
+                <td>23</td>
+                <td>0</td>
+                <td>0</td>
+                <td class="right" data-ratio="23 23">100%</td>
+            </tr>
             <tr class="region">
                 <td class="name left"><a href="z_4ef83d310f553371_accuracy_check_MPI_py.html">pySDC/projects/DAE/run/accuracy_check_MPI.py</a></td>
                 <td class="name left"><a href="z_4ef83d310f553371_accuracy_check_MPI_py.html"><data value=''><span class='no-noun'>(no class)</span></data></a></td>
@@ -3289,93 +3289,93 @@ <h2>
                 <td class="right" data-ratio="56 56">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_RungeKuttaDAE_py.html#t11">pySDC/projects/DAE/sweepers/RungeKuttaDAE.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_RungeKuttaDAE_py.html#t11"><data value='RungeKuttaDAE'>RungeKuttaDAE</data></a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAE_py.html#t8">pySDC/projects/DAE/sweepers/fullyImplicitDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAE_py.html#t8"><data value='FullyImplicitDAE'>FullyImplicitDAE</data></a></td>
+                <td>65</td>
+                <td>2</td>
+                <td>5</td>
+                <td class="right" data-ratio="63 65">97%</td>
+            </tr>
+            <tr class="region">
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAE_py.html">pySDC/projects/DAE/sweepers/fullyImplicitDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAE_py.html"><data value=''><span class='no-noun'>(no class)</span></data></a></td>
+                <td>12</td>
+                <td>0</td>
+                <td>1</td>
+                <td class="right" data-ratio="12 12">100%</td>
+            </tr>
+            <tr class="region">
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAEMPI_py.html#t8">pySDC/projects/DAE/sweepers/fullyImplicitDAEMPI.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAEMPI_py.html#t8"><data value='SweeperDAEMPI'>SweeperDAEMPI</data></a></td>
+                <td>28</td>
+                <td>2</td>
+                <td>2</td>
+                <td class="right" data-ratio="26 28">93%</td>
+            </tr>
+            <tr class="region">
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAEMPI_py.html#t110">pySDC/projects/DAE/sweepers/fullyImplicitDAEMPI.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAEMPI_py.html#t110"><data value='FullyImplicitDAEMPI'>FullyImplicitDAEMPI</data></a></td>
+                <td>20</td>
+                <td>0</td>
+                <td>0</td>
+                <td class="right" data-ratio="20 20">100%</td>
+            </tr>
+            <tr class="region">
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAEMPI_py.html">pySDC/projects/DAE/sweepers/fullyImplicitDAEMPI.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAEMPI_py.html"><data value=''><span class='no-noun'>(no class)</span></data></a></td>
+                <td>10</td>
+                <td>0</td>
+                <td>2</td>
+                <td class="right" data-ratio="10 10">100%</td>
+            </tr>
+            <tr class="region">
+                <td class="name left"><a href="z_15820e38ae7f8080_rungeKuttaDAE_py.html#t11">pySDC/projects/DAE/sweepers/rungeKuttaDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_rungeKuttaDAE_py.html#t11"><data value='RungeKuttaDAE'>RungeKuttaDAE</data></a></td>
                 <td>39</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="39 39">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_RungeKuttaDAE_py.html">pySDC/projects/DAE/sweepers/RungeKuttaDAE.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_RungeKuttaDAE_py.html"><data value=''><span class='no-noun'>(no class)</span></data></a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_rungeKuttaDAE_py.html">pySDC/projects/DAE/sweepers/rungeKuttaDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_rungeKuttaDAE_py.html"><data value=''><span class='no-noun'>(no class)</span></data></a></td>
                 <td>11</td>
                 <td>0</td>
                 <td>5</td>
                 <td class="right" data-ratio="11 11">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAE_py.html#t5">pySDC/projects/DAE/sweepers/SemiImplicitDAE.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAE_py.html#t5"><data value='SemiImplicitDAE'>SemiImplicitDAE</data></a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAE_py.html#t5">pySDC/projects/DAE/sweepers/semiImplicitDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAE_py.html#t5"><data value='SemiImplicitDAE'>SemiImplicitDAE</data></a></td>
                 <td>44</td>
                 <td>1</td>
                 <td>1</td>
                 <td class="right" data-ratio="43 44">98%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAE_py.html">pySDC/projects/DAE/sweepers/SemiImplicitDAE.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAE_py.html"><data value=''><span class='no-noun'>(no class)</span></data></a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAE_py.html">pySDC/projects/DAE/sweepers/semiImplicitDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAE_py.html"><data value=''><span class='no-noun'>(no class)</span></data></a></td>
                 <td>8</td>
                 <td>0</td>
                 <td>1</td>
                 <td class="right" data-ratio="8 8">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAEMPI_py.html#t7">pySDC/projects/DAE/sweepers/SemiImplicitDAEMPI.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAEMPI_py.html#t7"><data value='SemiImplicitDAEMPI'>SemiImplicitDAEMPI</data></a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAEMPI_py.html#t7">pySDC/projects/DAE/sweepers/semiImplicitDAEMPI.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAEMPI_py.html#t7"><data value='SemiImplicitDAEMPI'>SemiImplicitDAEMPI</data></a></td>
                 <td>25</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="25 25">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAEMPI_py.html">pySDC/projects/DAE/sweepers/SemiImplicitDAEMPI.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAEMPI_py.html"><data value=''><span class='no-noun'>(no class)</span></data></a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAEMPI_py.html">pySDC/projects/DAE/sweepers/semiImplicitDAEMPI.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAEMPI_py.html"><data value=''><span class='no-noun'>(no class)</span></data></a></td>
                 <td>6</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="6 6">100%</td>
             </tr>
-            <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_py.html#t9">pySDC/projects/DAE/sweepers/fully_implicit_DAE.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_py.html#t9"><data value='fully_implicit_DAE'>fully_implicit_DAE</data></a></td>
-                <td>65</td>
-                <td>2</td>
-                <td>5</td>
-                <td class="right" data-ratio="63 65">97%</td>
-            </tr>
-            <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_py.html">pySDC/projects/DAE/sweepers/fully_implicit_DAE.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_py.html"><data value=''><span class='no-noun'>(no class)</span></data></a></td>
-                <td>13</td>
-                <td>0</td>
-                <td>1</td>
-                <td class="right" data-ratio="13 13">100%</td>
-            </tr>
-            <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_MPI_py.html#t8">pySDC/projects/DAE/sweepers/fully_implicit_DAE_MPI.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_MPI_py.html#t8"><data value='SweeperDAEMPI'>SweeperDAEMPI</data></a></td>
-                <td>28</td>
-                <td>2</td>
-                <td>2</td>
-                <td class="right" data-ratio="26 28">93%</td>
-            </tr>
-            <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_MPI_py.html#t110">pySDC/projects/DAE/sweepers/fully_implicit_DAE_MPI.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_MPI_py.html#t110"><data value='fully_implicit_DAE_MPI'>fully_implicit_DAE_MPI</data></a></td>
-                <td>20</td>
-                <td>0</td>
-                <td>0</td>
-                <td class="right" data-ratio="20 20">100%</td>
-            </tr>
-            <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_MPI_py.html">pySDC/projects/DAE/sweepers/fully_implicit_DAE_MPI.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_MPI_py.html"><data value=''><span class='no-noun'>(no class)</span></data></a></td>
-                <td>10</td>
-                <td>0</td>
-                <td>2</td>
-                <td class="right" data-ratio="10 10">100%</td>
-            </tr>
             <tr class="region">
                 <td class="name left"><a href="z_60ee0c9d7735ef11_AcousticAdvection_1D_FD_imex_multiscale_py.html#t7">pySDC/projects/FastWaveSlowWave/AcousticAdvection_1D_FD_imex_multiscale.py</a></td>
                 <td class="name left"><a href="z_60ee0c9d7735ef11_AcousticAdvection_1D_FD_imex_multiscale_py.html#t7"><data value='acoustic_1d_imex_multiscale'>acoustic_1d_imex_multiscale</data></a></td>
@@ -5349,10 +5349,10 @@ <h2>
             <tr class="total">
                 <td class="name left">Total</td>
                 <td class="name left">&nbsp;</td>
-                <td>25860</td>
+                <td>25858</td>
                 <td>5680</td>
                 <td>4921</td>
-                <td class="right" data-ratio="20180 25860">78%</td>
+                <td class="right" data-ratio="20178 25858">78%</td>
             </tr>
         </tfoot>
     </table>
@@ -5365,7 +5365,7 @@ <h2>
     <div class="content">
         <p>
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
     </div>
     <aside class="hidden">
diff --git a/coverage/coverage-badge.svg b/coverage/coverage-badge.svg
index 5055abd6e5..1a2e9f0ce7 100644
--- a/coverage/coverage-badge.svg
+++ b/coverage/coverage-badge.svg
@@ -1 +1 @@
-<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="114" height="20" role="img" aria-label="coverage: 78.04%"><title>coverage: 78.04%</title><linearGradient id="s" x2="0" y2="100%"><stop offset="0" stop-color="#bbb" stop-opacity=".1"/><stop offset="1" stop-opacity=".1"/></linearGradient><clipPath id="r"><rect width="114" height="20" rx="3" fill="#fff"/></clipPath><g clip-path="url(#r)"><rect width="61" height="20" fill="#555"/><rect x="61" width="53" height="20" fill="#97ca00"/><rect width="114" height="20" fill="url(#s)"/></g><g fill="#fff" text-anchor="middle" font-family="Verdana,Geneva,DejaVu Sans,sans-serif" text-rendering="geometricPrecision" font-size="110"><text aria-hidden="true" x="315" y="150" fill="#010101" fill-opacity=".3" transform="scale(.1)" textLength="510">coverage</text><text x="315" y="140" transform="scale(.1)" fill="#fff" textLength="510">coverage</text><text aria-hidden="true" x="865" y="150" fill="#010101" fill-opacity=".3" transform="scale(.1)" textLength="430">78.04%</text><text x="865" y="140" transform="scale(.1)" fill="#fff" textLength="430">78.04%</text></g></svg>
\ No newline at end of file
+<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="114" height="20" role="img" aria-label="coverage: 78.03%"><title>coverage: 78.03%</title><linearGradient id="s" x2="0" y2="100%"><stop offset="0" stop-color="#bbb" stop-opacity=".1"/><stop offset="1" stop-opacity=".1"/></linearGradient><clipPath id="r"><rect width="114" height="20" rx="3" fill="#fff"/></clipPath><g clip-path="url(#r)"><rect width="61" height="20" fill="#555"/><rect x="61" width="53" height="20" fill="#97ca00"/><rect width="114" height="20" fill="url(#s)"/></g><g fill="#fff" text-anchor="middle" font-family="Verdana,Geneva,DejaVu Sans,sans-serif" text-rendering="geometricPrecision" font-size="110"><text aria-hidden="true" x="315" y="150" fill="#010101" fill-opacity=".3" transform="scale(.1)" textLength="510">coverage</text><text x="315" y="140" transform="scale(.1)" fill="#fff" textLength="510">coverage</text><text aria-hidden="true" x="865" y="150" fill="#010101" fill-opacity=".3" transform="scale(.1)" textLength="430">78.03%</text><text x="865" y="140" transform="scale(.1)" fill="#fff" textLength="430">78.03%</text></g></svg>
\ No newline at end of file
diff --git a/coverage/function_index.html b/coverage/function_index.html
index 54d4e3e092..8b7af6a329 100644
--- a/coverage/function_index.html
+++ b/coverage/function_index.html
@@ -55,7 +55,7 @@ <h2>
         </h2>
         <p class="text">
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
     </div>
 </header>
@@ -9313,200 +9313,128 @@ <h2>
                 <td class="right" data-ratio="0 8">0%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0a363dd8c140c711_DAEMesh_py.html">pySDC/projects/DAE/misc/DAEMesh.py</a></td>
-                <td class="name left"><a href="z_0a363dd8c140c711_DAEMesh_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
-                <td>3</td>
-                <td>0</td>
-                <td>0</td>
-                <td class="right" data-ratio="3 3">100%</td>
-            </tr>
-            <tr class="region">
-                <td class="name left"><a href="z_0a363dd8c140c711_HookClass_DAE_py.html#t10">pySDC/projects/DAE/misc/HookClass_DAE.py</a></td>
-                <td class="name left"><a href="z_0a363dd8c140c711_HookClass_DAE_py.html#t10"><data value='post_step'>LogGlobalErrorPostStepDifferentialVariable.post_step</data></a></td>
+                <td class="name left"><a href="z_0a363dd8c140c711_hooksDAE_py.html#t10">pySDC/projects/DAE/misc/hooksDAE.py</a></td>
+                <td class="name left"><a href="z_0a363dd8c140c711_hooksDAE_py.html#t10"><data value='post_step'>LogGlobalErrorPostStepDifferentialVariable.post_step</data></a></td>
                 <td>7</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="7 7">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0a363dd8c140c711_HookClass_DAE_py.html#t52">pySDC/projects/DAE/misc/HookClass_DAE.py</a></td>
-                <td class="name left"><a href="z_0a363dd8c140c711_HookClass_DAE_py.html#t52"><data value='post_step'>LogGlobalErrorPostStepAlgebraicVariable.post_step</data></a></td>
+                <td class="name left"><a href="z_0a363dd8c140c711_hooksDAE_py.html#t52">pySDC/projects/DAE/misc/hooksDAE.py</a></td>
+                <td class="name left"><a href="z_0a363dd8c140c711_hooksDAE_py.html#t52"><data value='post_step'>LogGlobalErrorPostStepAlgebraicVariable.post_step</data></a></td>
                 <td>7</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="7 7">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0a363dd8c140c711_HookClass_DAE_py.html">pySDC/projects/DAE/misc/HookClass_DAE.py</a></td>
-                <td class="name left"><a href="z_0a363dd8c140c711_HookClass_DAE_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
+                <td class="name left"><a href="z_0a363dd8c140c711_hooksDAE_py.html">pySDC/projects/DAE/misc/hooksDAE.py</a></td>
+                <td class="name left"><a href="z_0a363dd8c140c711_hooksDAE_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
                 <td>5</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="5 5">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0a363dd8c140c711_ProblemDAE_py.html#t31">pySDC/projects/DAE/misc/ProblemDAE.py</a></td>
-                <td class="name left"><a href="z_0a363dd8c140c711_ProblemDAE_py.html#t31"><data value='init__'>ptype_dae.__init__</data></a></td>
+                <td class="name left"><a href="z_0a363dd8c140c711_meshDAE_py.html">pySDC/projects/DAE/misc/meshDAE.py</a></td>
+                <td class="name left"><a href="z_0a363dd8c140c711_meshDAE_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
+                <td>3</td>
+                <td>0</td>
+                <td>0</td>
+                <td class="right" data-ratio="3 3">100%</td>
+            </tr>
+            <tr class="region">
+                <td class="name left"><a href="z_0a363dd8c140c711_problemDAE_py.html#t31">pySDC/projects/DAE/misc/problemDAE.py</a></td>
+                <td class="name left"><a href="z_0a363dd8c140c711_problemDAE_py.html#t31"><data value='init__'>ProblemDAE.__init__</data></a></td>
                 <td>4</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="4 4">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0a363dd8c140c711_ProblemDAE_py.html#t39">pySDC/projects/DAE/misc/ProblemDAE.py</a></td>
-                <td class="name left"><a href="z_0a363dd8c140c711_ProblemDAE_py.html#t39"><data value='solve_system'>ptype_dae.solve_system</data></a></td>
+                <td class="name left"><a href="z_0a363dd8c140c711_problemDAE_py.html#t39">pySDC/projects/DAE/misc/problemDAE.py</a></td>
+                <td class="name left"><a href="z_0a363dd8c140c711_problemDAE_py.html#t39"><data value='solve_system'>ProblemDAE.solve_system</data></a></td>
                 <td>6</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="6 6">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0a363dd8c140c711_ProblemDAE_py.html#t64">pySDC/projects/DAE/misc/ProblemDAE.py</a></td>
-                <td class="name left"><a href="z_0a363dd8c140c711_ProblemDAE_py.html#t64"><data value='implSysFlatten'>ptype_dae.solve_system.implSysFlatten</data></a></td>
+                <td class="name left"><a href="z_0a363dd8c140c711_problemDAE_py.html#t64">pySDC/projects/DAE/misc/problemDAE.py</a></td>
+                <td class="name left"><a href="z_0a363dd8c140c711_problemDAE_py.html#t64"><data value='implSysFlatten'>ProblemDAE.solve_system.implSysFlatten</data></a></td>
                 <td>2</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="2 2">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0a363dd8c140c711_ProblemDAE_py.html">pySDC/projects/DAE/misc/ProblemDAE.py</a></td>
-                <td class="name left"><a href="z_0a363dd8c140c711_ProblemDAE_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
+                <td class="name left"><a href="z_0a363dd8c140c711_problemDAE_py.html">pySDC/projects/DAE/misc/problemDAE.py</a></td>
+                <td class="name left"><a href="z_0a363dd8c140c711_problemDAE_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
                 <td>10</td>
                 <td>0</td>
                 <td>1</td>
                 <td class="right" data-ratio="10 10">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_DiscontinuousTestDAE_py.html#t59">pySDC/projects/DAE/problems/DiscontinuousTestDAE.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_DiscontinuousTestDAE_py.html#t59"><data value='init__'>DiscontinuousTestDAE.__init__</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_discontinuousTestDAE_py.html#t59">pySDC/projects/DAE/problems/discontinuousTestDAE.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_discontinuousTestDAE_py.html#t59"><data value='init__'>DiscontinuousTestDAE.__init__</data></a></td>
                 <td>5</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="5 5">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_DiscontinuousTestDAE_py.html#t68">pySDC/projects/DAE/problems/DiscontinuousTestDAE.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_DiscontinuousTestDAE_py.html#t68"><data value='eval_f'>DiscontinuousTestDAE.eval_f</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_discontinuousTestDAE_py.html#t68">pySDC/projects/DAE/problems/discontinuousTestDAE.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_discontinuousTestDAE_py.html#t68"><data value='eval_f'>DiscontinuousTestDAE.eval_f</data></a></td>
                 <td>12</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="12 12">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_DiscontinuousTestDAE_py.html#t104">pySDC/projects/DAE/problems/DiscontinuousTestDAE.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_DiscontinuousTestDAE_py.html#t104"><data value='u_exact'>DiscontinuousTestDAE.u_exact</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_discontinuousTestDAE_py.html#t104">pySDC/projects/DAE/problems/discontinuousTestDAE.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_discontinuousTestDAE_py.html#t104"><data value='u_exact'>DiscontinuousTestDAE.u_exact</data></a></td>
                 <td>8</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="8 8">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_DiscontinuousTestDAE_py.html#t131">pySDC/projects/DAE/problems/DiscontinuousTestDAE.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_DiscontinuousTestDAE_py.html#t131"><data value='du_exact'>DiscontinuousTestDAE.du_exact</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_discontinuousTestDAE_py.html#t131">pySDC/projects/DAE/problems/discontinuousTestDAE.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_discontinuousTestDAE_py.html#t131"><data value='du_exact'>DiscontinuousTestDAE.du_exact</data></a></td>
                 <td>8</td>
                 <td>2</td>
                 <td>0</td>
                 <td class="right" data-ratio="6 8">75%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_DiscontinuousTestDAE_py.html#t158">pySDC/projects/DAE/problems/DiscontinuousTestDAE.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_DiscontinuousTestDAE_py.html#t158"><data value='get_switching_info'>DiscontinuousTestDAE.get_switching_info</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_discontinuousTestDAE_py.html#t158">pySDC/projects/DAE/problems/discontinuousTestDAE.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_discontinuousTestDAE_py.html#t158"><data value='get_switching_info'>DiscontinuousTestDAE.get_switching_info</data></a></td>
                 <td>11</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="11 11">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_DiscontinuousTestDAE_py.html#t200">pySDC/projects/DAE/problems/DiscontinuousTestDAE.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_DiscontinuousTestDAE_py.html#t200"><data value='count_switches'>DiscontinuousTestDAE.count_switches</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_discontinuousTestDAE_py.html#t200">pySDC/projects/DAE/problems/discontinuousTestDAE.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_discontinuousTestDAE_py.html#t200"><data value='count_switches'>DiscontinuousTestDAE.count_switches</data></a></td>
                 <td>1</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="1 1">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_DiscontinuousTestDAE_py.html">pySDC/projects/DAE/problems/DiscontinuousTestDAE.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_DiscontinuousTestDAE_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_discontinuousTestDAE_py.html">pySDC/projects/DAE/problems/discontinuousTestDAE.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_discontinuousTestDAE_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
                 <td>10</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="10 10">100%</td>
             </tr>
-            <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_WSCC9BusSystem_py.html#t6">pySDC/projects/DAE/problems/WSCC9BusSystem.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_WSCC9BusSystem_py.html#t6"><data value='WSCC9Bus'>WSCC9Bus</data></a></td>
-                <td>7</td>
-                <td>0</td>
-                <td>0</td>
-                <td class="right" data-ratio="7 7">100%</td>
-            </tr>
-            <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_WSCC9BusSystem_py.html#t410">pySDC/projects/DAE/problems/WSCC9BusSystem.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_WSCC9BusSystem_py.html#t410"><data value='get_initial_Ybus'>get_initial_Ybus</data></a></td>
-                <td>2</td>
-                <td>0</td>
-                <td>0</td>
-                <td class="right" data-ratio="2 2">100%</td>
-            </tr>
-            <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_WSCC9BusSystem_py.html#t489">pySDC/projects/DAE/problems/WSCC9BusSystem.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_WSCC9BusSystem_py.html#t489"><data value='get_event_Ybus'>get_event_Ybus</data></a></td>
-                <td>2</td>
-                <td>0</td>
-                <td>0</td>
-                <td class="right" data-ratio="2 2">100%</td>
-            </tr>
-            <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_WSCC9BusSystem_py.html#t765">pySDC/projects/DAE/problems/WSCC9BusSystem.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_WSCC9BusSystem_py.html#t765"><data value='init__'>WSCC9BusSystem.__init__</data></a></td>
-                <td>103</td>
-                <td>0</td>
-                <td>2</td>
-                <td class="right" data-ratio="103 103">100%</td>
-            </tr>
-            <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_WSCC9BusSystem_py.html#t972">pySDC/projects/DAE/problems/WSCC9BusSystem.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_WSCC9BusSystem_py.html#t972"><data value='eval_f'>WSCC9BusSystem.eval_f</data></a></td>
-                <td>58</td>
-                <td>0</td>
-                <td>0</td>
-                <td class="right" data-ratio="58 58">100%</td>
-            </tr>
-            <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_WSCC9BusSystem_py.html#t1151">pySDC/projects/DAE/problems/WSCC9BusSystem.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_WSCC9BusSystem_py.html#t1151"><data value='u_exact'>WSCC9BusSystem.u_exact</data></a></td>
-                <td>18</td>
-                <td>0</td>
-                <td>0</td>
-                <td class="right" data-ratio="18 18">100%</td>
-            </tr>
-            <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_WSCC9BusSystem_py.html#t1185">pySDC/projects/DAE/problems/WSCC9BusSystem.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_WSCC9BusSystem_py.html#t1185"><data value='get_switching_info'>WSCC9BusSystem.get_switching_info</data></a></td>
-                <td>11</td>
-                <td>0</td>
-                <td>0</td>
-                <td class="right" data-ratio="11 11">100%</td>
-            </tr>
-            <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_WSCC9BusSystem_py.html#t1229">pySDC/projects/DAE/problems/WSCC9BusSystem.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_WSCC9BusSystem_py.html#t1229"><data value='count_switches'>WSCC9BusSystem.count_switches</data></a></td>
-                <td>1</td>
-                <td>1</td>
-                <td>0</td>
-                <td class="right" data-ratio="0 1">0%</td>
-            </tr>
-            <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_WSCC9BusSystem_py.html">pySDC/projects/DAE/problems/WSCC9BusSystem.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_WSCC9BusSystem_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
-                <td>12</td>
-                <td>0</td>
-                <td>0</td>
-                <td class="right" data-ratio="12 12">100%</td>
-            </tr>
             <tr class="region">
                 <td class="name left"><a href="z_0eb34c630be51b75_pendulum2D_py.html#t45">pySDC/projects/DAE/problems/pendulum2D.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_pendulum2D_py.html#t45"><data value='init__'>pendulum_2d.__init__</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_pendulum2D_py.html#t45"><data value='init__'>Pendulum2D.__init__</data></a></td>
                 <td>2</td>
                 <td>0</td>
                 <td>0</td>
@@ -9514,7 +9442,7 @@ <h2>
             </tr>
             <tr class="region">
                 <td class="name left"><a href="z_0eb34c630be51b75_pendulum2D_py.html#t56">pySDC/projects/DAE/problems/pendulum2D.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_pendulum2D_py.html#t56"><data value='eval_f'>pendulum_2d.eval_f</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_pendulum2D_py.html#t56"><data value='eval_f'>Pendulum2D.eval_f</data></a></td>
                 <td>6</td>
                 <td>0</td>
                 <td>0</td>
@@ -9522,7 +9450,7 @@ <h2>
             </tr>
             <tr class="region">
                 <td class="name left"><a href="z_0eb34c630be51b75_pendulum2D_py.html#t88">pySDC/projects/DAE/problems/pendulum2D.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_pendulum2D_py.html#t88"><data value='u_exact'>pendulum_2d.u_exact</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_pendulum2D_py.html#t88"><data value='u_exact'>Pendulum2D.u_exact</data></a></td>
                 <td>12</td>
                 <td>3</td>
                 <td>0</td>
@@ -9538,7 +9466,7 @@ <h2>
             </tr>
             <tr class="region">
                 <td class="name left"><a href="z_0eb34c630be51b75_problematicF_py.html#t41">pySDC/projects/DAE/problems/problematicF.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_problematicF_py.html#t41"><data value='init__'>problematic_f.__init__</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_problematicF_py.html#t41"><data value='init__'>ProblematicF.__init__</data></a></td>
                 <td>2</td>
                 <td>0</td>
                 <td>0</td>
@@ -9546,7 +9474,7 @@ <h2>
             </tr>
             <tr class="region">
                 <td class="name left"><a href="z_0eb34c630be51b75_problematicF_py.html#t46">pySDC/projects/DAE/problems/problematicF.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_problematicF_py.html#t46"><data value='eval_f'>problematic_f.eval_f</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_problematicF_py.html#t46"><data value='eval_f'>ProblematicF.eval_f</data></a></td>
                 <td>4</td>
                 <td>0</td>
                 <td>0</td>
@@ -9554,7 +9482,7 @@ <h2>
             </tr>
             <tr class="region">
                 <td class="name left"><a href="z_0eb34c630be51b75_problematicF_py.html#t72">pySDC/projects/DAE/problems/problematicF.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_problematicF_py.html#t72"><data value='u_exact'>problematic_f.u_exact</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_problematicF_py.html#t72"><data value='u_exact'>ProblematicF.u_exact</data></a></td>
                 <td>3</td>
                 <td>0</td>
                 <td>0</td>
@@ -9562,7 +9490,7 @@ <h2>
             </tr>
             <tr class="region">
                 <td class="name left"><a href="z_0eb34c630be51b75_problematicF_py.html#t90">pySDC/projects/DAE/problems/problematicF.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_problematicF_py.html#t90"><data value='du_exact'>problematic_f.du_exact</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_problematicF_py.html#t90"><data value='du_exact'>ProblematicF.du_exact</data></a></td>
                 <td>3</td>
                 <td>0</td>
                 <td>0</td>
@@ -9577,141 +9505,213 @@ <h2>
                 <td class="right" data-ratio="10 10">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_simple_DAE_py.html#t44">pySDC/projects/DAE/problems/simple_DAE.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_simple_DAE_py.html#t44"><data value='init__'>simple_dae_1.__init__</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_simpleDAE_py.html#t44">pySDC/projects/DAE/problems/simpleDAE.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_simpleDAE_py.html#t44"><data value='init__'>SimpleDAE.__init__</data></a></td>
                 <td>1</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="1 1">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_simple_DAE_py.html#t48">pySDC/projects/DAE/problems/simple_DAE.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_simple_DAE_py.html#t48"><data value='eval_f'>simple_dae_1.eval_f</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_simpleDAE_py.html#t48">pySDC/projects/DAE/problems/simpleDAE.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_simpleDAE_py.html#t48"><data value='eval_f'>SimpleDAE.eval_f</data></a></td>
                 <td>6</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="6 6">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_simple_DAE_py.html#t78">pySDC/projects/DAE/problems/simple_DAE.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_simple_DAE_py.html#t78"><data value='u_exact'>simple_dae_1.u_exact</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_simpleDAE_py.html#t78">pySDC/projects/DAE/problems/simpleDAE.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_simpleDAE_py.html#t78"><data value='u_exact'>SimpleDAE.u_exact</data></a></td>
                 <td>4</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="4 4">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_simple_DAE_py.html#t97">pySDC/projects/DAE/problems/simple_DAE.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_simple_DAE_py.html#t97"><data value='du_exact'>simple_dae_1.du_exact</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_simpleDAE_py.html#t97">pySDC/projects/DAE/problems/simpleDAE.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_simpleDAE_py.html#t97"><data value='du_exact'>SimpleDAE.du_exact</data></a></td>
                 <td>4</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="4 4">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_simple_DAE_py.html">pySDC/projects/DAE/problems/simple_DAE.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_simple_DAE_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_simpleDAE_py.html">pySDC/projects/DAE/problems/simpleDAE.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_simpleDAE_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
                 <td>7</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="7 7">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_synchronous_machine_py.html#t152">pySDC/projects/DAE/problems/synchronous_machine.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_synchronous_machine_py.html#t152"><data value='init__'>synchronous_machine_infinite_bus.__init__</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_synchronousMachine_py.html#t151">pySDC/projects/DAE/problems/synchronousMachine.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_synchronousMachine_py.html#t151"><data value='init__'>SynchronousMachineInfiniteBus.__init__</data></a></td>
                 <td>22</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="22 22">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_synchronous_machine_py.html#t187">pySDC/projects/DAE/problems/synchronous_machine.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_synchronous_machine_py.html#t187"><data value='eval_f'>synchronous_machine_infinite_bus.eval_f</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_synchronousMachine_py.html#t186">pySDC/projects/DAE/problems/synchronousMachine.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_synchronousMachine_py.html#t186"><data value='eval_f'>SynchronousMachineInfiniteBus.eval_f</data></a></td>
                 <td>17</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="17 17">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_synchronous_machine_py.html#t268">pySDC/projects/DAE/problems/synchronous_machine.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_synchronous_machine_py.html#t268"><data value='u_exact'>synchronous_machine_infinite_bus.u_exact</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_synchronousMachine_py.html#t267">pySDC/projects/DAE/problems/synchronousMachine.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_synchronousMachine_py.html#t267"><data value='u_exact'>SynchronousMachineInfiniteBus.u_exact</data></a></td>
                 <td>28</td>
                 <td>3</td>
                 <td>0</td>
                 <td class="right" data-ratio="25 28">89%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_synchronous_machine_py.html">pySDC/projects/DAE/problems/synchronous_machine.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_synchronous_machine_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
-                <td>9</td>
+                <td class="name left"><a href="z_0eb34c630be51b75_synchronousMachine_py.html">pySDC/projects/DAE/problems/synchronousMachine.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_synchronousMachine_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
+                <td>8</td>
                 <td>0</td>
                 <td>0</td>
-                <td class="right" data-ratio="9 9">100%</td>
+                <td class="right" data-ratio="8 8">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_transistor_amplifier_py.html#t10">pySDC/projects/DAE/problems/transistor_amplifier.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_transistor_amplifier_py.html#t10"><data value='transistor'>_transistor</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_transistorAmplifier_py.html#t10">pySDC/projects/DAE/problems/transistorAmplifier.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_transistorAmplifier_py.html#t10"><data value='transistor'>_transistor</data></a></td>
                 <td>1</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="1 1">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_transistor_amplifier_py.html#t68">pySDC/projects/DAE/problems/transistor_amplifier.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_transistor_amplifier_py.html#t68"><data value='init__'>one_transistor_amplifier.__init__</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_transistorAmplifier_py.html#t68">pySDC/projects/DAE/problems/transistorAmplifier.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_transistorAmplifier_py.html#t68"><data value='init__'>OneTransistorAmplifier.__init__</data></a></td>
                 <td>2</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="2 2">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_transistor_amplifier_py.html#t79">pySDC/projects/DAE/problems/transistor_amplifier.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_transistor_amplifier_py.html#t79"><data value='eval_f'>one_transistor_amplifier.eval_f</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_transistorAmplifier_py.html#t79">pySDC/projects/DAE/problems/transistorAmplifier.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_transistorAmplifier_py.html#t79"><data value='eval_f'>OneTransistorAmplifier.eval_f</data></a></td>
                 <td>10</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="10 10">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_transistor_amplifier_py.html#t114">pySDC/projects/DAE/problems/transistor_amplifier.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_transistor_amplifier_py.html#t114"><data value='u_exact'>one_transistor_amplifier.u_exact</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_transistorAmplifier_py.html#t114">pySDC/projects/DAE/problems/transistorAmplifier.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_transistorAmplifier_py.html#t114"><data value='u_exact'>OneTransistorAmplifier.u_exact</data></a></td>
                 <td>8</td>
                 <td>1</td>
                 <td>0</td>
                 <td class="right" data-ratio="7 8">88%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_transistor_amplifier_py.html#t205">pySDC/projects/DAE/problems/transistor_amplifier.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_transistor_amplifier_py.html#t205"><data value='init__'>two_transistor_amplifier.__init__</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_transistorAmplifier_py.html#t205">pySDC/projects/DAE/problems/transistorAmplifier.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_transistorAmplifier_py.html#t205"><data value='init__'>TwoTransistorAmplifier.__init__</data></a></td>
                 <td>2</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="2 2">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_transistor_amplifier_py.html#t216">pySDC/projects/DAE/problems/transistor_amplifier.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_transistor_amplifier_py.html#t216"><data value='eval_f'>two_transistor_amplifier.eval_f</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_transistorAmplifier_py.html#t216">pySDC/projects/DAE/problems/transistorAmplifier.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_transistorAmplifier_py.html#t216"><data value='eval_f'>TwoTransistorAmplifier.eval_f</data></a></td>
                 <td>10</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="10 10">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_transistor_amplifier_py.html#t254">pySDC/projects/DAE/problems/transistor_amplifier.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_transistor_amplifier_py.html#t254"><data value='u_exact'>two_transistor_amplifier.u_exact</data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_transistorAmplifier_py.html#t254">pySDC/projects/DAE/problems/transistorAmplifier.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_transistorAmplifier_py.html#t254"><data value='u_exact'>TwoTransistorAmplifier.u_exact</data></a></td>
                 <td>8</td>
                 <td>1</td>
                 <td>0</td>
                 <td class="right" data-ratio="7 8">88%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_transistor_amplifier_py.html">pySDC/projects/DAE/problems/transistor_amplifier.py</a></td>
-                <td class="name left"><a href="z_0eb34c630be51b75_transistor_amplifier_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_transistorAmplifier_py.html">pySDC/projects/DAE/problems/transistorAmplifier.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_transistorAmplifier_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
+                <td>18</td>
+                <td>0</td>
+                <td>0</td>
+                <td class="right" data-ratio="18 18">100%</td>
+            </tr>
+            <tr class="region">
+                <td class="name left"><a href="z_0eb34c630be51b75_wscc9BusSystem_py.html#t6">pySDC/projects/DAE/problems/wscc9BusSystem.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_wscc9BusSystem_py.html#t6"><data value='WSCC9Bus'>WSCC9Bus</data></a></td>
+                <td>7</td>
+                <td>0</td>
+                <td>0</td>
+                <td class="right" data-ratio="7 7">100%</td>
+            </tr>
+            <tr class="region">
+                <td class="name left"><a href="z_0eb34c630be51b75_wscc9BusSystem_py.html#t410">pySDC/projects/DAE/problems/wscc9BusSystem.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_wscc9BusSystem_py.html#t410"><data value='get_initial_Ybus'>get_initial_Ybus</data></a></td>
+                <td>2</td>
+                <td>0</td>
+                <td>0</td>
+                <td class="right" data-ratio="2 2">100%</td>
+            </tr>
+            <tr class="region">
+                <td class="name left"><a href="z_0eb34c630be51b75_wscc9BusSystem_py.html#t489">pySDC/projects/DAE/problems/wscc9BusSystem.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_wscc9BusSystem_py.html#t489"><data value='get_event_Ybus'>get_event_Ybus</data></a></td>
+                <td>2</td>
+                <td>0</td>
+                <td>0</td>
+                <td class="right" data-ratio="2 2">100%</td>
+            </tr>
+            <tr class="region">
+                <td class="name left"><a href="z_0eb34c630be51b75_wscc9BusSystem_py.html#t765">pySDC/projects/DAE/problems/wscc9BusSystem.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_wscc9BusSystem_py.html#t765"><data value='init__'>WSCC9BusSystem.__init__</data></a></td>
+                <td>103</td>
+                <td>0</td>
+                <td>2</td>
+                <td class="right" data-ratio="103 103">100%</td>
+            </tr>
+            <tr class="region">
+                <td class="name left"><a href="z_0eb34c630be51b75_wscc9BusSystem_py.html#t972">pySDC/projects/DAE/problems/wscc9BusSystem.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_wscc9BusSystem_py.html#t972"><data value='eval_f'>WSCC9BusSystem.eval_f</data></a></td>
+                <td>58</td>
+                <td>0</td>
+                <td>0</td>
+                <td class="right" data-ratio="58 58">100%</td>
+            </tr>
+            <tr class="region">
+                <td class="name left"><a href="z_0eb34c630be51b75_wscc9BusSystem_py.html#t1151">pySDC/projects/DAE/problems/wscc9BusSystem.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_wscc9BusSystem_py.html#t1151"><data value='u_exact'>WSCC9BusSystem.u_exact</data></a></td>
                 <td>18</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="18 18">100%</td>
             </tr>
+            <tr class="region">
+                <td class="name left"><a href="z_0eb34c630be51b75_wscc9BusSystem_py.html#t1185">pySDC/projects/DAE/problems/wscc9BusSystem.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_wscc9BusSystem_py.html#t1185"><data value='get_switching_info'>WSCC9BusSystem.get_switching_info</data></a></td>
+                <td>11</td>
+                <td>0</td>
+                <td>0</td>
+                <td class="right" data-ratio="11 11">100%</td>
+            </tr>
+            <tr class="region">
+                <td class="name left"><a href="z_0eb34c630be51b75_wscc9BusSystem_py.html#t1229">pySDC/projects/DAE/problems/wscc9BusSystem.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_wscc9BusSystem_py.html#t1229"><data value='count_switches'>WSCC9BusSystem.count_switches</data></a></td>
+                <td>1</td>
+                <td>1</td>
+                <td>0</td>
+                <td class="right" data-ratio="0 1">0%</td>
+            </tr>
+            <tr class="region">
+                <td class="name left"><a href="z_0eb34c630be51b75_wscc9BusSystem_py.html">pySDC/projects/DAE/problems/wscc9BusSystem.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_wscc9BusSystem_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
+                <td>12</td>
+                <td>0</td>
+                <td>0</td>
+                <td class="right" data-ratio="12 12">100%</td>
+            </tr>
             <tr class="region">
                 <td class="name left"><a href="z_4ef83d310f553371_accuracy_check_MPI_py.html#t12">pySDC/projects/DAE/run/accuracy_check_MPI.py</a></td>
                 <td class="name left"><a href="z_4ef83d310f553371_accuracy_check_MPI_py.html#t12"><data value='run'>run</data></a></td>
@@ -9817,204 +9817,204 @@ <h2>
                 <td class="right" data-ratio="12 12">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_RungeKuttaDAE_py.html#t79">pySDC/projects/DAE/sweepers/RungeKuttaDAE.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_RungeKuttaDAE_py.html#t79"><data value='init__'>RungeKuttaDAE.__init__</data></a></td>
-                <td>3</td>
-                <td>0</td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAE_py.html#t48">pySDC/projects/DAE/sweepers/fullyImplicitDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAE_py.html#t48"><data value='init__'>FullyImplicitDAE.__init__</data></a></td>
+                <td>6</td>
                 <td>0</td>
-                <td class="right" data-ratio="3 3">100%</td>
+                <td>1</td>
+                <td class="right" data-ratio="6 6">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_RungeKuttaDAE_py.html#t84">pySDC/projects/DAE/sweepers/RungeKuttaDAE.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_RungeKuttaDAE_py.html#t84"><data value='predict'>RungeKuttaDAE.predict</data></a></td>
-                <td>11</td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAE_py.html#t63">pySDC/projects/DAE/sweepers/fullyImplicitDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAE_py.html#t63"><data value='update_nodes'>FullyImplicitDAE.update_nodes</data></a></td>
+                <td>19</td>
                 <td>0</td>
                 <td>0</td>
-                <td class="right" data-ratio="11 11">100%</td>
+                <td class="right" data-ratio="19 19">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_RungeKuttaDAE_py.html#t105">pySDC/projects/DAE/sweepers/RungeKuttaDAE.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_RungeKuttaDAE_py.html#t105"><data value='integrate'>RungeKuttaDAE.integrate</data></a></td>
-                <td>8</td>
-                <td>0</td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAE_py.html#t107">pySDC/projects/DAE/sweepers/fullyImplicitDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAE_py.html#t107"><data value='predict'>FullyImplicitDAE.predict</data></a></td>
+                <td>15</td>
                 <td>0</td>
-                <td class="right" data-ratio="8 8">100%</td>
+                <td>1</td>
+                <td class="right" data-ratio="15 15">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_RungeKuttaDAE_py.html#t130">pySDC/projects/DAE/sweepers/RungeKuttaDAE.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_RungeKuttaDAE_py.html#t130"><data value='update_nodes'>RungeKuttaDAE.update_nodes</data></a></td>
-                <td>17</td>
-                <td>0</td>
-                <td>0</td>
-                <td class="right" data-ratio="17 17">100%</td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAE_py.html#t143">pySDC/projects/DAE/sweepers/fullyImplicitDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAE_py.html#t143"><data value='compute_residual'>FullyImplicitDAE.compute_residual</data></a></td>
+                <td>18</td>
+                <td>2</td>
+                <td>1</td>
+                <td class="right" data-ratio="16 18">89%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_RungeKuttaDAE_py.html">pySDC/projects/DAE/sweepers/RungeKuttaDAE.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_RungeKuttaDAE_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
-                <td>11</td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAE_py.html#t194">pySDC/projects/DAE/sweepers/fullyImplicitDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAE_py.html#t194"><data value='compute_end_point'>FullyImplicitDAE.compute_end_point</data></a></td>
+                <td>2</td>
                 <td>0</td>
-                <td>5</td>
-                <td class="right" data-ratio="11 11">100%</td>
+                <td>1</td>
+                <td class="right" data-ratio="2 2">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAE_py.html#t86">pySDC/projects/DAE/sweepers/SemiImplicitDAE.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAE_py.html#t86"><data value='init__'>SemiImplicitDAE.__init__</data></a></td>
-                <td>6</td>
-                <td>1</td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAE_py.html#t210">pySDC/projects/DAE/sweepers/fullyImplicitDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAE_py.html#t210"><data value='F'>FullyImplicitDAE.F</data></a></td>
+                <td>5</td>
+                <td>0</td>
                 <td>1</td>
-                <td class="right" data-ratio="5 6">83%</td>
+                <td class="right" data-ratio="5 5">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAE_py.html#t101">pySDC/projects/DAE/sweepers/SemiImplicitDAE.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAE_py.html#t101"><data value='integrate'>SemiImplicitDAE.integrate</data></a></td>
-                <td>9</td>
-                <td>0</td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAE_py.html">pySDC/projects/DAE/sweepers/fullyImplicitDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAE_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
+                <td>12</td>
                 <td>0</td>
-                <td class="right" data-ratio="9 9">100%</td>
+                <td>1</td>
+                <td class="right" data-ratio="12 12">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAE_py.html#t126">pySDC/projects/DAE/sweepers/SemiImplicitDAE.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAE_py.html#t126"><data value='update_nodes'>SemiImplicitDAE.update_nodes</data></a></td>
-                <td>23</td>
-                <td>0</td>
-                <td>0</td>
-                <td class="right" data-ratio="23 23">100%</td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAEMPI_py.html#t34">pySDC/projects/DAE/sweepers/fullyImplicitDAEMPI.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAEMPI_py.html#t34"><data value='compute_residual'>SweeperDAEMPI.compute_residual</data></a></td>
+                <td>17</td>
+                <td>2</td>
+                <td>1</td>
+                <td class="right" data-ratio="15 17">88%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAE_py.html#t170">pySDC/projects/DAE/sweepers/SemiImplicitDAE.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAE_py.html#t170"><data value='F'>SemiImplicitDAE.F</data></a></td>
-                <td>6</td>
-                <td>0</td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAEMPI_py.html#t78">pySDC/projects/DAE/sweepers/fullyImplicitDAEMPI.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAEMPI_py.html#t78"><data value='predict'>SweeperDAEMPI.predict</data></a></td>
+                <td>11</td>
                 <td>0</td>
-                <td class="right" data-ratio="6 6">100%</td>
+                <td>1</td>
+                <td class="right" data-ratio="11 11">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAE_py.html">pySDC/projects/DAE/sweepers/SemiImplicitDAE.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAE_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAEMPI_py.html#t138">pySDC/projects/DAE/sweepers/fullyImplicitDAEMPI.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAEMPI_py.html#t138"><data value='integrate'>FullyImplicitDAEMPI.integrate</data></a></td>
                 <td>8</td>
                 <td>0</td>
-                <td>1</td>
+                <td>0</td>
                 <td class="right" data-ratio="8 8">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAEMPI_py.html#t31">pySDC/projects/DAE/sweepers/SemiImplicitDAEMPI.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAEMPI_py.html#t31"><data value='integrate'>SemiImplicitDAEMPI.integrate</data></a></td>
-                <td>9</td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAEMPI_py.html#t165">pySDC/projects/DAE/sweepers/fullyImplicitDAEMPI.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAEMPI_py.html#t165"><data value='update_nodes'>FullyImplicitDAEMPI.update_nodes</data></a></td>
+                <td>12</td>
                 <td>0</td>
                 <td>0</td>
-                <td class="right" data-ratio="9 9">100%</td>
+                <td class="right" data-ratio="12 12">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAEMPI_py.html#t60">pySDC/projects/DAE/sweepers/SemiImplicitDAEMPI.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAEMPI_py.html#t60"><data value='update_nodes'>SemiImplicitDAEMPI.update_nodes</data></a></td>
-                <td>16</td>
-                <td>0</td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAEMPI_py.html">pySDC/projects/DAE/sweepers/fullyImplicitDAEMPI.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAEMPI_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
+                <td>10</td>
                 <td>0</td>
-                <td class="right" data-ratio="16 16">100%</td>
+                <td>2</td>
+                <td class="right" data-ratio="10 10">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAEMPI_py.html">pySDC/projects/DAE/sweepers/SemiImplicitDAEMPI.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAEMPI_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
-                <td>6</td>
+                <td class="name left"><a href="z_15820e38ae7f8080_rungeKuttaDAE_py.html#t79">pySDC/projects/DAE/sweepers/rungeKuttaDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_rungeKuttaDAE_py.html#t79"><data value='init__'>RungeKuttaDAE.__init__</data></a></td>
+                <td>3</td>
                 <td>0</td>
                 <td>0</td>
-                <td class="right" data-ratio="6 6">100%</td>
+                <td class="right" data-ratio="3 3">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_py.html#t49">pySDC/projects/DAE/sweepers/fully_implicit_DAE.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_py.html#t49"><data value='init__'>fully_implicit_DAE.__init__</data></a></td>
-                <td>6</td>
+                <td class="name left"><a href="z_15820e38ae7f8080_rungeKuttaDAE_py.html#t84">pySDC/projects/DAE/sweepers/rungeKuttaDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_rungeKuttaDAE_py.html#t84"><data value='predict'>RungeKuttaDAE.predict</data></a></td>
+                <td>11</td>
                 <td>0</td>
-                <td>1</td>
-                <td class="right" data-ratio="6 6">100%</td>
+                <td>0</td>
+                <td class="right" data-ratio="11 11">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_py.html#t64">pySDC/projects/DAE/sweepers/fully_implicit_DAE.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_py.html#t64"><data value='update_nodes'>fully_implicit_DAE.update_nodes</data></a></td>
-                <td>19</td>
+                <td class="name left"><a href="z_15820e38ae7f8080_rungeKuttaDAE_py.html#t105">pySDC/projects/DAE/sweepers/rungeKuttaDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_rungeKuttaDAE_py.html#t105"><data value='integrate'>RungeKuttaDAE.integrate</data></a></td>
+                <td>8</td>
                 <td>0</td>
                 <td>0</td>
-                <td class="right" data-ratio="19 19">100%</td>
+                <td class="right" data-ratio="8 8">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_py.html#t108">pySDC/projects/DAE/sweepers/fully_implicit_DAE.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_py.html#t108"><data value='predict'>fully_implicit_DAE.predict</data></a></td>
-                <td>15</td>
+                <td class="name left"><a href="z_15820e38ae7f8080_rungeKuttaDAE_py.html#t130">pySDC/projects/DAE/sweepers/rungeKuttaDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_rungeKuttaDAE_py.html#t130"><data value='update_nodes'>RungeKuttaDAE.update_nodes</data></a></td>
+                <td>17</td>
                 <td>0</td>
-                <td>1</td>
-                <td class="right" data-ratio="15 15">100%</td>
+                <td>0</td>
+                <td class="right" data-ratio="17 17">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_py.html#t144">pySDC/projects/DAE/sweepers/fully_implicit_DAE.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_py.html#t144"><data value='compute_residual'>fully_implicit_DAE.compute_residual</data></a></td>
-                <td>18</td>
-                <td>2</td>
-                <td>1</td>
-                <td class="right" data-ratio="16 18">89%</td>
+                <td class="name left"><a href="z_15820e38ae7f8080_rungeKuttaDAE_py.html">pySDC/projects/DAE/sweepers/rungeKuttaDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_rungeKuttaDAE_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
+                <td>11</td>
+                <td>0</td>
+                <td>5</td>
+                <td class="right" data-ratio="11 11">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_py.html#t195">pySDC/projects/DAE/sweepers/fully_implicit_DAE.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_py.html#t195"><data value='compute_end_point'>fully_implicit_DAE.compute_end_point</data></a></td>
-                <td>2</td>
-                <td>0</td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAE_py.html#t86">pySDC/projects/DAE/sweepers/semiImplicitDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAE_py.html#t86"><data value='init__'>SemiImplicitDAE.__init__</data></a></td>
+                <td>6</td>
                 <td>1</td>
-                <td class="right" data-ratio="2 2">100%</td>
+                <td>1</td>
+                <td class="right" data-ratio="5 6">83%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_py.html#t211">pySDC/projects/DAE/sweepers/fully_implicit_DAE.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_py.html#t211"><data value='F'>fully_implicit_DAE.F</data></a></td>
-                <td>5</td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAE_py.html#t101">pySDC/projects/DAE/sweepers/semiImplicitDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAE_py.html#t101"><data value='integrate'>SemiImplicitDAE.integrate</data></a></td>
+                <td>9</td>
                 <td>0</td>
-                <td>1</td>
-                <td class="right" data-ratio="5 5">100%</td>
+                <td>0</td>
+                <td class="right" data-ratio="9 9">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_py.html">pySDC/projects/DAE/sweepers/fully_implicit_DAE.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
-                <td>13</td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAE_py.html#t126">pySDC/projects/DAE/sweepers/semiImplicitDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAE_py.html#t126"><data value='update_nodes'>SemiImplicitDAE.update_nodes</data></a></td>
+                <td>23</td>
                 <td>0</td>
-                <td>1</td>
-                <td class="right" data-ratio="13 13">100%</td>
+                <td>0</td>
+                <td class="right" data-ratio="23 23">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_MPI_py.html#t34">pySDC/projects/DAE/sweepers/fully_implicit_DAE_MPI.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_MPI_py.html#t34"><data value='compute_residual'>SweeperDAEMPI.compute_residual</data></a></td>
-                <td>17</td>
-                <td>2</td>
-                <td>1</td>
-                <td class="right" data-ratio="15 17">88%</td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAE_py.html#t170">pySDC/projects/DAE/sweepers/semiImplicitDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAE_py.html#t170"><data value='F'>SemiImplicitDAE.F</data></a></td>
+                <td>6</td>
+                <td>0</td>
+                <td>0</td>
+                <td class="right" data-ratio="6 6">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_MPI_py.html#t78">pySDC/projects/DAE/sweepers/fully_implicit_DAE_MPI.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_MPI_py.html#t78"><data value='predict'>SweeperDAEMPI.predict</data></a></td>
-                <td>11</td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAE_py.html">pySDC/projects/DAE/sweepers/semiImplicitDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAE_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
+                <td>8</td>
                 <td>0</td>
                 <td>1</td>
-                <td class="right" data-ratio="11 11">100%</td>
+                <td class="right" data-ratio="8 8">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_MPI_py.html#t138">pySDC/projects/DAE/sweepers/fully_implicit_DAE_MPI.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_MPI_py.html#t138"><data value='integrate'>fully_implicit_DAE_MPI.integrate</data></a></td>
-                <td>8</td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAEMPI_py.html#t31">pySDC/projects/DAE/sweepers/semiImplicitDAEMPI.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAEMPI_py.html#t31"><data value='integrate'>SemiImplicitDAEMPI.integrate</data></a></td>
+                <td>9</td>
                 <td>0</td>
                 <td>0</td>
-                <td class="right" data-ratio="8 8">100%</td>
+                <td class="right" data-ratio="9 9">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_MPI_py.html#t165">pySDC/projects/DAE/sweepers/fully_implicit_DAE_MPI.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_MPI_py.html#t165"><data value='update_nodes'>fully_implicit_DAE_MPI.update_nodes</data></a></td>
-                <td>12</td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAEMPI_py.html#t60">pySDC/projects/DAE/sweepers/semiImplicitDAEMPI.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAEMPI_py.html#t60"><data value='update_nodes'>SemiImplicitDAEMPI.update_nodes</data></a></td>
+                <td>16</td>
                 <td>0</td>
                 <td>0</td>
-                <td class="right" data-ratio="12 12">100%</td>
+                <td class="right" data-ratio="16 16">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_MPI_py.html">pySDC/projects/DAE/sweepers/fully_implicit_DAE_MPI.py</a></td>
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_MPI_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
-                <td>10</td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAEMPI_py.html">pySDC/projects/DAE/sweepers/semiImplicitDAEMPI.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAEMPI_py.html"><data value=''><span class='no-noun'>(no function)</span></data></a></td>
+                <td>6</td>
                 <td>0</td>
-                <td>2</td>
-                <td class="right" data-ratio="10 10">100%</td>
+                <td>0</td>
+                <td class="right" data-ratio="6 6">100%</td>
             </tr>
             <tr class="region">
                 <td class="name left"><a href="z_60ee0c9d7735ef11_AcousticAdvection_1D_FD_imex_multiscale_py.html#t12">pySDC/projects/FastWaveSlowWave/AcousticAdvection_1D_FD_imex_multiscale.py</a></td>
@@ -16477,10 +16477,10 @@ <h2>
             <tr class="total">
                 <td class="name left">Total</td>
                 <td class="name left">&nbsp;</td>
-                <td>25860</td>
+                <td>25858</td>
                 <td>5680</td>
                 <td>4921</td>
-                <td class="right" data-ratio="20180 25860">78%</td>
+                <td class="right" data-ratio="20178 25858">78%</td>
             </tr>
         </tfoot>
     </table>
@@ -16493,7 +16493,7 @@ <h2>
     <div class="content">
         <p>
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
     </div>
     <aside class="hidden">
diff --git a/coverage/index.html b/coverage/index.html
index fa203f9f82..af4f7f81bb 100644
--- a/coverage/index.html
+++ b/coverage/index.html
@@ -54,7 +54,7 @@ <h2>
         </h2>
         <p class="text">
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
     </div>
 </header>
@@ -1086,40 +1086,33 @@ <h2>
                 <td class="right" data-ratio="0 82">0%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0a363dd8c140c711_DAEMesh_py.html">pySDC/projects/DAE/misc/DAEMesh.py</a></td>
-                <td>3</td>
+                <td class="name left"><a href="z_0a363dd8c140c711_hooksDAE_py.html">pySDC/projects/DAE/misc/hooksDAE.py</a></td>
+                <td>19</td>
                 <td>0</td>
                 <td>0</td>
-                <td class="right" data-ratio="3 3">100%</td>
+                <td class="right" data-ratio="19 19">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0a363dd8c140c711_HookClass_DAE_py.html">pySDC/projects/DAE/misc/HookClass_DAE.py</a></td>
-                <td>19</td>
+                <td class="name left"><a href="z_0a363dd8c140c711_meshDAE_py.html">pySDC/projects/DAE/misc/meshDAE.py</a></td>
+                <td>3</td>
                 <td>0</td>
                 <td>0</td>
-                <td class="right" data-ratio="19 19">100%</td>
+                <td class="right" data-ratio="3 3">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0a363dd8c140c711_ProblemDAE_py.html">pySDC/projects/DAE/misc/ProblemDAE.py</a></td>
+                <td class="name left"><a href="z_0a363dd8c140c711_problemDAE_py.html">pySDC/projects/DAE/misc/problemDAE.py</a></td>
                 <td>22</td>
                 <td>0</td>
                 <td>2</td>
                 <td class="right" data-ratio="22 22">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_DiscontinuousTestDAE_py.html">pySDC/projects/DAE/problems/DiscontinuousTestDAE.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_discontinuousTestDAE_py.html">pySDC/projects/DAE/problems/discontinuousTestDAE.py</a></td>
                 <td>55</td>
                 <td>2</td>
                 <td>0</td>
                 <td class="right" data-ratio="53 55">96%</td>
             </tr>
-            <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_WSCC9BusSystem_py.html">pySDC/projects/DAE/problems/WSCC9BusSystem.py</a></td>
-                <td>214</td>
-                <td>1</td>
-                <td>2</td>
-                <td class="right" data-ratio="213 214">99%</td>
-            </tr>
             <tr class="region">
                 <td class="name left"><a href="z_0eb34c630be51b75_pendulum2D_py.html">pySDC/projects/DAE/problems/pendulum2D.py</a></td>
                 <td>25</td>
@@ -1135,26 +1128,33 @@ <h2>
                 <td class="right" data-ratio="22 22">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_simple_DAE_py.html">pySDC/projects/DAE/problems/simple_DAE.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_simpleDAE_py.html">pySDC/projects/DAE/problems/simpleDAE.py</a></td>
                 <td>22</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="22 22">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_synchronous_machine_py.html">pySDC/projects/DAE/problems/synchronous_machine.py</a></td>
-                <td>76</td>
+                <td class="name left"><a href="z_0eb34c630be51b75_synchronousMachine_py.html">pySDC/projects/DAE/problems/synchronousMachine.py</a></td>
+                <td>75</td>
                 <td>3</td>
                 <td>0</td>
-                <td class="right" data-ratio="73 76">96%</td>
+                <td class="right" data-ratio="72 75">96%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_0eb34c630be51b75_transistor_amplifier_py.html">pySDC/projects/DAE/problems/transistor_amplifier.py</a></td>
+                <td class="name left"><a href="z_0eb34c630be51b75_transistorAmplifier_py.html">pySDC/projects/DAE/problems/transistorAmplifier.py</a></td>
                 <td>59</td>
                 <td>2</td>
                 <td>0</td>
                 <td class="right" data-ratio="57 59">97%</td>
             </tr>
+            <tr class="region">
+                <td class="name left"><a href="z_0eb34c630be51b75_wscc9BusSystem_py.html">pySDC/projects/DAE/problems/wscc9BusSystem.py</a></td>
+                <td>214</td>
+                <td>1</td>
+                <td>2</td>
+                <td class="right" data-ratio="213 214">99%</td>
+            </tr>
             <tr class="region">
                 <td class="name left"><a href="z_4ef83d310f553371_accuracy_check_MPI_py.html">pySDC/projects/DAE/run/accuracy_check_MPI.py</a></td>
                 <td>56</td>
@@ -1191,40 +1191,40 @@ <h2>
                 <td class="right" data-ratio="56 56">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_RungeKuttaDAE_py.html">pySDC/projects/DAE/sweepers/RungeKuttaDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAE_py.html">pySDC/projects/DAE/sweepers/fullyImplicitDAE.py</a></td>
+                <td>77</td>
+                <td>2</td>
+                <td>6</td>
+                <td class="right" data-ratio="75 77">97%</td>
+            </tr>
+            <tr class="region">
+                <td class="name left"><a href="z_15820e38ae7f8080_fullyImplicitDAEMPI_py.html">pySDC/projects/DAE/sweepers/fullyImplicitDAEMPI.py</a></td>
+                <td>58</td>
+                <td>2</td>
+                <td>4</td>
+                <td class="right" data-ratio="56 58">97%</td>
+            </tr>
+            <tr class="region">
+                <td class="name left"><a href="z_15820e38ae7f8080_rungeKuttaDAE_py.html">pySDC/projects/DAE/sweepers/rungeKuttaDAE.py</a></td>
                 <td>50</td>
                 <td>0</td>
                 <td>5</td>
                 <td class="right" data-ratio="50 50">100%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAE_py.html">pySDC/projects/DAE/sweepers/SemiImplicitDAE.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAE_py.html">pySDC/projects/DAE/sweepers/semiImplicitDAE.py</a></td>
                 <td>52</td>
                 <td>1</td>
                 <td>2</td>
                 <td class="right" data-ratio="51 52">98%</td>
             </tr>
             <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_SemiImplicitDAEMPI_py.html">pySDC/projects/DAE/sweepers/SemiImplicitDAEMPI.py</a></td>
+                <td class="name left"><a href="z_15820e38ae7f8080_semiImplicitDAEMPI_py.html">pySDC/projects/DAE/sweepers/semiImplicitDAEMPI.py</a></td>
                 <td>31</td>
                 <td>0</td>
                 <td>0</td>
                 <td class="right" data-ratio="31 31">100%</td>
             </tr>
-            <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_py.html">pySDC/projects/DAE/sweepers/fully_implicit_DAE.py</a></td>
-                <td>78</td>
-                <td>2</td>
-                <td>6</td>
-                <td class="right" data-ratio="76 78">97%</td>
-            </tr>
-            <tr class="region">
-                <td class="name left"><a href="z_15820e38ae7f8080_fully_implicit_DAE_MPI_py.html">pySDC/projects/DAE/sweepers/fully_implicit_DAE_MPI.py</a></td>
-                <td>58</td>
-                <td>2</td>
-                <td>4</td>
-                <td class="right" data-ratio="56 58">97%</td>
-            </tr>
             <tr class="region">
                 <td class="name left"><a href="z_60ee0c9d7735ef11_AcousticAdvection_1D_FD_imex_multiscale_py.html">pySDC/projects/FastWaveSlowWave/AcousticAdvection_1D_FD_imex_multiscale.py</a></td>
                 <td>13</td>
@@ -2398,10 +2398,10 @@ <h2>
         <tfoot>
             <tr class="total">
                 <td class="name left">Total</td>
-                <td>25860</td>
+                <td>25858</td>
                 <td>5680</td>
                 <td>4924</td>
-                <td class="right" data-ratio="20180 25860">78%</td>
+                <td class="right" data-ratio="20178 25858">78%</td>
             </tr>
         </tfoot>
     </table>
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             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
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index 1a17af5984..f223968ab0 100644
--- a/coverage/status.json
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+            created at 2024-07-27 09:26 +0000
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+            created at 2024-07-27 09:26 +0000
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_04cb75334c2a5eef_data_management_py.html b/coverage/z_04cb75334c2a5eef_data_management_py.html
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_064a9f2a35945611_FaultHooks_py.html b/coverage/z_064a9f2a35945611_FaultHooks_py.html
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+            created at 2024-07-27 09:26 +0000
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_064a9f2a35945611_generate_statistics_py.html b/coverage/z_064a9f2a35945611_generate_statistics_py.html
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-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_064a9f2a35945611_implicit_sweeper_faults_py.html b/coverage/z_064a9f2a35945611_implicit_sweeper_faults_py.html
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-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_064a9f2a35945611_visualization_helper_py.html b/coverage/z_064a9f2a35945611_visualization_helper_py.html
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-            created at 2024-07-25 12:46 +0000
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diff --git a/coverage/z_0a363dd8c140c711_HookClass_DAE_py.html b/coverage/z_0a363dd8c140c711_hooksDAE_py.html
similarity index 96%
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rename to coverage/z_0a363dd8c140c711_hooksDAE_py.html
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-    <title>Coverage for pySDC/projects/DAE/misc/HookClass_DAE.py: 100%</title>
+    <title>Coverage for pySDC/projects/DAE/misc/hooksDAE.py: 100%</title>
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     <p class="pln"><span class="n"><a id="t50" href="#t50">50</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t51" href="#t51">51</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t52" href="#t52">52</a></span><span class="t">    <span class="key">def</span> <span class="nam">post_step</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">step</span><span class="op">,</span> <span class="nam">level_number</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
@@ -137,9 +137,9 @@ <h2>
     <p class="pln"><span class="n"><a id="t55" href="#t55">55</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t56" href="#t56">56</a></span><span class="t"><span class="str">        Parameters</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t57" href="#t57">57</a></span><span class="t"><span class="str">        ----------</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t58" href="#t58">58</a></span><span class="t"><span class="str">        step : pySDC.core.Step</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t58" href="#t58">58</a></span><span class="t"><span class="str">        step : pySDC.core.step.Step</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t59" href="#t59">59</a></span><span class="t"><span class="str">            Current step.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t60" href="#t60">60</a></span><span class="t"><span class="str">        level_number : pySDC.core.level</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t60" href="#t60">60</a></span><span class="t"><span class="str">        level_number : pySDC.core.level.Level</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t61" href="#t61">61</a></span><span class="t"><span class="str">            Current level number.</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t62" href="#t62">62</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t63" href="#t63">63</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
@@ -166,12 +166,12 @@ <h2>
 <footer>
     <div class="content">
         <p>
-            <a class="nav" href="z_0a363dd8c140c711_DAEMesh_py.html">&#xab; prev</a> &nbsp; &nbsp;
+            <a class="nav" href="z_73a9842ab7402c4a_smoother_specrad_heatmap_py.html">&#xab; prev</a> &nbsp; &nbsp;
             <a class="nav" href="index.html">&Hat; index</a> &nbsp; &nbsp;
-            <a class="nav" href="z_0a363dd8c140c711_ProblemDAE_py.html">&#xbb; next</a>
+            <a class="nav" href="z_0a363dd8c140c711_meshDAE_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
     </div>
 </footer>
diff --git a/coverage/z_0a363dd8c140c711_DAEMesh_py.html b/coverage/z_0a363dd8c140c711_meshDAE_py.html
similarity index 91%
rename from coverage/z_0a363dd8c140c711_DAEMesh_py.html
rename to coverage/z_0a363dd8c140c711_meshDAE_py.html
index d31bb84665..564c2bb7de 100644
--- a/coverage/z_0a363dd8c140c711_DAEMesh_py.html
+++ b/coverage/z_0a363dd8c140c711_meshDAE_py.html
@@ -2,7 +2,7 @@
 <html lang="en">
 <head>
     <meta http-equiv="Content-Type" content="text/html; charset=utf-8">
-    <title>Coverage for pySDC/projects/DAE/misc/DAEMesh.py: 100%</title>
+    <title>Coverage for pySDC/projects/DAE/misc/meshDAE.py: 100%</title>
     <link rel="icon" sizes="32x32" href="favicon_32_cb_58284776.png">
     <link rel="stylesheet" href="style_cb_8e611ae1.css" type="text/css">
     <script src="coverage_html_cb_6fb7b396.js" defer></script>
@@ -11,7 +11,7 @@
 <header>
     <div class="content">
         <h1>
-            <span class="text">Coverage for </span><b>pySDC/projects/DAE/misc/DAEMesh.py</b>:
+            <span class="text">Coverage for </span><b>pySDC/projects/DAE/misc/meshDAE.py</b>:
             <span class="pc_cov">100%</span>
         </h1>
         <aside id="help_panel_wrapper">
@@ -60,12 +60,12 @@ <h2>
             <button type="button" class="exc show_exc button_toggle_exc" value="exc" data-shortcut="x" title="Toggle lines excluded">0<span class="text"> excluded</span></button>
         </h2>
         <p class="text">
-            <a id="prevFileLink" class="nav" href="z_73a9842ab7402c4a_smoother_specrad_heatmap_py.html">&#xab; prev</a> &nbsp; &nbsp;
+            <a id="prevFileLink" class="nav" href="z_0a363dd8c140c711_hooksDAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
             <a id="indexLink" class="nav" href="index.html">&Hat; index</a> &nbsp; &nbsp;
-            <a id="nextFileLink" class="nav" href="z_0a363dd8c140c711_HookClass_DAE_py.html">&#xbb; next</a>
+            <a id="nextFileLink" class="nav" href="z_0a363dd8c140c711_problemDAE_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -83,7 +83,7 @@ <h2>
     <p class="run"><span class="n"><a id="t1" href="#t1">1</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">implementations</span><span class="op">.</span><span class="nam">datatype_classes</span><span class="op">.</span><span class="nam">mesh</span> <span class="key">import</span> <span class="nam">MultiComponentMesh</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t2" href="#t2">2</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t3" href="#t3">3</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t"><span class="key">class</span> <span class="nam">DAEMesh</span><span class="op">(</span><span class="nam">MultiComponentMesh</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t"><span class="key">class</span> <span class="nam">MeshDAE</span><span class="op">(</span><span class="nam">MultiComponentMesh</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t">    <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t"><span class="str">    Datatype for DAE problems. The solution of the problem can be splitted in the differential part</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t"><span class="str">    and in an algebraic part.</span>&nbsp;</span><span class="r"></span></p>
@@ -96,12 +96,12 @@ <h2>
 <footer>
     <div class="content">
         <p>
-            <a class="nav" href="z_73a9842ab7402c4a_smoother_specrad_heatmap_py.html">&#xab; prev</a> &nbsp; &nbsp;
+            <a class="nav" href="z_0a363dd8c140c711_hooksDAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
             <a class="nav" href="index.html">&Hat; index</a> &nbsp; &nbsp;
-            <a class="nav" href="z_0a363dd8c140c711_HookClass_DAE_py.html">&#xbb; next</a>
+            <a class="nav" href="z_0a363dd8c140c711_problemDAE_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
     </div>
 </footer>
diff --git a/coverage/z_0a363dd8c140c711_ProblemDAE_py.html b/coverage/z_0a363dd8c140c711_problemDAE_py.html
similarity index 96%
rename from coverage/z_0a363dd8c140c711_ProblemDAE_py.html
rename to coverage/z_0a363dd8c140c711_problemDAE_py.html
index 3f60198a5b..258198145a 100644
--- a/coverage/z_0a363dd8c140c711_ProblemDAE_py.html
+++ b/coverage/z_0a363dd8c140c711_problemDAE_py.html
@@ -2,7 +2,7 @@
 <html lang="en">
 <head>
     <meta http-equiv="Content-Type" content="text/html; charset=utf-8">
-    <title>Coverage for pySDC/projects/DAE/misc/ProblemDAE.py: 100%</title>
+    <title>Coverage for pySDC/projects/DAE/misc/problemDAE.py: 100%</title>
     <link rel="icon" sizes="32x32" href="favicon_32_cb_58284776.png">
     <link rel="stylesheet" href="style_cb_8e611ae1.css" type="text/css">
     <script src="coverage_html_cb_6fb7b396.js" defer></script>
@@ -11,7 +11,7 @@
 <header>
     <div class="content">
         <h1>
-            <span class="text">Coverage for </span><b>pySDC/projects/DAE/misc/ProblemDAE.py</b>:
+            <span class="text">Coverage for </span><b>pySDC/projects/DAE/misc/problemDAE.py</b>:
             <span class="pc_cov">100%</span>
         </h1>
         <aside id="help_panel_wrapper">
@@ -60,12 +60,12 @@ <h2>
             <button type="button" class="exc show_exc button_toggle_exc" value="exc" data-shortcut="x" title="Toggle lines excluded">2<span class="text"> excluded</span></button>
         </h2>
         <p class="text">
-            <a id="prevFileLink" class="nav" href="z_0a363dd8c140c711_HookClass_DAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
+            <a id="prevFileLink" class="nav" href="z_0a363dd8c140c711_meshDAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
             <a id="indexLink" class="nav" href="index.html">&Hat; index</a> &nbsp; &nbsp;
-            <a id="nextFileLink" class="nav" href="z_0eb34c630be51b75_DiscontinuousTestDAE_py.html">&#xbb; next</a>
+            <a id="nextFileLink" class="nav" href="z_0eb34c630be51b75_discontinuousTestDAE_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -84,10 +84,10 @@ <h2>
     <p class="run"><span class="n"><a id="t2" href="#t2">2</a></span><span class="t"><span class="key">from</span> <span class="nam">scipy</span><span class="op">.</span><span class="nam">optimize</span> <span class="key">import</span> <span class="nam">root</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t3" href="#t3">3</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">core</span><span class="op">.</span><span class="nam">problem</span> <span class="key">import</span> <span class="nam">Problem</span><span class="op">,</span> <span class="nam">WorkCounter</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">DAEMesh</span> <span class="key">import</span> <span class="nam">DAEMesh</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">meshDAE</span> <span class="key">import</span> <span class="nam">MeshDAE</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t8" href="#t8">8</a></span><span class="t"><span class="key">class</span> <span class="nam">ptype_dae</span><span class="op">(</span><span class="nam">Problem</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t8" href="#t8">8</a></span><span class="t"><span class="key">class</span> <span class="nam">ProblemDAE</span><span class="op">(</span><span class="nam">Problem</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
     <p class="exc show_exc"><span class="n"><a id="t9" href="#t9">9</a></span><span class="t">    <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t10" href="#t10">10</a></span><span class="t"><span class="str">    This class implements a generic DAE class and illustrates the interface class for DAE problems.</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t11" href="#t11">11</a></span><span class="t"><span class="str">    It ensures that all parameters are passed that are needed by DAE sweepers.</span>&nbsp;</span><span class="r"></span></p>
@@ -107,8 +107,8 @@ <h2>
     <p class="pln"><span class="n"><a id="t25" href="#t25">25</a></span><span class="t"><span class="str">        in work_counters['rhs']</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t26" href="#t26">26</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t27" href="#t27">27</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t28" href="#t28">28</a></span><span class="t">    <span class="nam">dtype_u</span> <span class="op">=</span> <span class="nam">DAEMesh</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t29" href="#t29">29</a></span><span class="t">    <span class="nam">dtype_f</span> <span class="op">=</span> <span class="nam">DAEMesh</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t28" href="#t28">28</a></span><span class="t">    <span class="nam">dtype_u</span> <span class="op">=</span> <span class="nam">MeshDAE</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t29" href="#t29">29</a></span><span class="t">    <span class="nam">dtype_f</span> <span class="op">=</span> <span class="nam">MeshDAE</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t30" href="#t30">30</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t31" href="#t31">31</a></span><span class="t">    <span class="key">def</span> <span class="nam">__init__</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">nvars</span><span class="op">,</span> <span class="nam">newton_tol</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t32" href="#t32">32</a></span><span class="t">        <span class="str">"""Initialization routine"""</span>&nbsp;</span><span class="r"></span></p>
@@ -178,12 +178,12 @@ <h2>
 <footer>
     <div class="content">
         <p>
-            <a class="nav" href="z_0a363dd8c140c711_HookClass_DAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
+            <a class="nav" href="z_0a363dd8c140c711_meshDAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
             <a class="nav" href="index.html">&Hat; index</a> &nbsp; &nbsp;
-            <a class="nav" href="z_0eb34c630be51b75_DiscontinuousTestDAE_py.html">&#xbb; next</a>
+            <a class="nav" href="z_0eb34c630be51b75_discontinuousTestDAE_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
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+            created at 2024-07-27 09:26 +0000
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 </footer>
diff --git a/coverage/z_0c21c203c9df60ee_AllenCahn_dump_py.html b/coverage/z_0c21c203c9df60ee_AllenCahn_dump_py.html
index 7051d62045..6ed7e6ae08 100644
--- a/coverage/z_0c21c203c9df60ee_AllenCahn_dump_py.html
+++ b/coverage/z_0c21c203c9df60ee_AllenCahn_dump_py.html
@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_0c21c203c9df60ee_AllenCahn_monitor_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -237,7 +237,7 @@ <h2>
             <a class="nav" href="z_0c21c203c9df60ee_AllenCahn_monitor_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
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+            created at 2024-07-27 09:26 +0000
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     </div>
 </footer>
diff --git a/coverage/z_0c21c203c9df60ee_AllenCahn_monitor_and_dump_py.html b/coverage/z_0c21c203c9df60ee_AllenCahn_monitor_and_dump_py.html
index 312e036e1e..21537c89d2 100644
--- a/coverage/z_0c21c203c9df60ee_AllenCahn_monitor_and_dump_py.html
+++ b/coverage/z_0c21c203c9df60ee_AllenCahn_monitor_and_dump_py.html
@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_0c21c203c9df60ee_run_simple_forcing_benchmark_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
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+            created at 2024-07-27 09:26 +0000
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@@ -350,7 +350,7 @@ <h2>
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             &nbsp; &nbsp; &nbsp;
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_0c21c203c9df60ee_AllenCahn_monitor_py.html b/coverage/z_0c21c203c9df60ee_AllenCahn_monitor_py.html
index 492843e674..1bf32c1444 100644
--- a/coverage/z_0c21c203c9df60ee_AllenCahn_monitor_py.html
+++ b/coverage/z_0c21c203c9df60ee_AllenCahn_monitor_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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@@ -274,7 +274,7 @@ <h2>
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             &nbsp; &nbsp; &nbsp;
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_0c21c203c9df60ee_run_simple_forcing_benchmark_py.html b/coverage/z_0c21c203c9df60ee_run_simple_forcing_benchmark_py.html
index 46031622e7..95d2c7ad5a 100644
--- a/coverage/z_0c21c203c9df60ee_run_simple_forcing_benchmark_py.html
+++ b/coverage/z_0c21c203c9df60ee_run_simple_forcing_benchmark_py.html
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+            created at 2024-07-27 09:26 +0000
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@@ -242,7 +242,7 @@ <h2>
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-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_0c21c203c9df60ee_run_simple_forcing_verification_py.html b/coverage/z_0c21c203c9df60ee_run_simple_forcing_verification_py.html
index 5ce527e67e..8165961f9c 100644
--- a/coverage/z_0c21c203c9df60ee_run_simple_forcing_verification_py.html
+++ b/coverage/z_0c21c203c9df60ee_run_simple_forcing_verification_py.html
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+            created at 2024-07-27 09:26 +0000
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-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_0c21c203c9df60ee_run_temp_forcing_benchmark_py.html b/coverage/z_0c21c203c9df60ee_run_temp_forcing_benchmark_py.html
index 0c07080c0b..a56348bb0c 100644
--- a/coverage/z_0c21c203c9df60ee_run_temp_forcing_benchmark_py.html
+++ b/coverage/z_0c21c203c9df60ee_run_temp_forcing_benchmark_py.html
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+            created at 2024-07-27 09:26 +0000
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_0c21c203c9df60ee_run_temp_forcing_realistic_py.html b/coverage/z_0c21c203c9df60ee_run_temp_forcing_realistic_py.html
index 3c510f0a35..b3a14c8a92 100644
--- a/coverage/z_0c21c203c9df60ee_run_temp_forcing_realistic_py.html
+++ b/coverage/z_0c21c203c9df60ee_run_temp_forcing_realistic_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_0c21c203c9df60ee_run_temp_forcing_reference_py.html b/coverage/z_0c21c203c9df60ee_run_temp_forcing_reference_py.html
index 574cb85251..25a6e2a710 100644
--- a/coverage/z_0c21c203c9df60ee_run_temp_forcing_reference_py.html
+++ b/coverage/z_0c21c203c9df60ee_run_temp_forcing_reference_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -236,7 +236,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_0c21c203c9df60ee_run_temp_forcing_verification_py.html b/coverage/z_0c21c203c9df60ee_run_temp_forcing_verification_py.html
index 7fd484a7c3..c216cb5426 100644
--- a/coverage/z_0c21c203c9df60ee_run_temp_forcing_verification_py.html
+++ b/coverage/z_0c21c203c9df60ee_run_temp_forcing_verification_py.html
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+            created at 2024-07-27 09:26 +0000
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_0c21c203c9df60ee_visualize_py.html b/coverage/z_0c21c203c9df60ee_visualize_py.html
index 6fde14cd56..610677a39c 100644
--- a/coverage/z_0c21c203c9df60ee_visualize_py.html
+++ b/coverage/z_0c21c203c9df60ee_visualize_py.html
@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_0c21c203c9df60ee_visualize_temp_py.html">&#xbb; next</a>
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+            created at 2024-07-27 09:26 +0000
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+            created at 2024-07-27 09:26 +0000
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index fccc741cf0..5b1e88e23d 100644
--- a/coverage/z_0c21c203c9df60ee_visualize_temp_py.html
+++ b/coverage/z_0c21c203c9df60ee_visualize_temp_py.html
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+            created at 2024-07-27 09:26 +0000
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@@ -238,7 +238,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_0eb34c630be51b75_DiscontinuousTestDAE_py.html b/coverage/z_0eb34c630be51b75_discontinuousTestDAE_py.html
similarity index 98%
rename from coverage/z_0eb34c630be51b75_DiscontinuousTestDAE_py.html
rename to coverage/z_0eb34c630be51b75_discontinuousTestDAE_py.html
index 23257f8fcc..c437a690d8 100644
--- a/coverage/z_0eb34c630be51b75_DiscontinuousTestDAE_py.html
+++ b/coverage/z_0eb34c630be51b75_discontinuousTestDAE_py.html
@@ -2,7 +2,7 @@
 <html lang="en">
 <head>
     <meta http-equiv="Content-Type" content="text/html; charset=utf-8">
-    <title>Coverage for pySDC/projects/DAE/problems/DiscontinuousTestDAE.py: 96%</title>
+    <title>Coverage for pySDC/projects/DAE/problems/discontinuousTestDAE.py: 96%</title>
     <link rel="icon" sizes="32x32" href="favicon_32_cb_58284776.png">
     <link rel="stylesheet" href="style_cb_8e611ae1.css" type="text/css">
     <script src="coverage_html_cb_6fb7b396.js" defer></script>
@@ -11,7 +11,7 @@
 <header>
     <div class="content">
         <h1>
-            <span class="text">Coverage for </span><b>pySDC/projects/DAE/problems/DiscontinuousTestDAE.py</b>:
+            <span class="text">Coverage for </span><b>pySDC/projects/DAE/problems/discontinuousTestDAE.py</b>:
             <span class="pc_cov">96%</span>
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         <aside id="help_panel_wrapper">
@@ -60,12 +60,12 @@ <h2>
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         </h2>
         <p class="text">
-            <a id="prevFileLink" class="nav" href="z_0a363dd8c140c711_ProblemDAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
+            <a id="prevFileLink" class="nav" href="z_0a363dd8c140c711_problemDAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
             <a id="indexLink" class="nav" href="index.html">&Hat; index</a> &nbsp; &nbsp;
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+            <a id="nextFileLink" class="nav" href="z_0eb34c630be51b75_pendulum2D_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
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+            created at 2024-07-27 09:26 +0000
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             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -83,10 +83,10 @@ <h2>
     <p class="run"><span class="n"><a id="t1" href="#t1">1</a></span><span class="t"><span class="key">import</span> <span class="nam">numpy</span> <span class="key">as</span> <span class="nam">np</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t2" href="#t2">2</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t3" href="#t3">3</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">core</span><span class="op">.</span><span class="nam">problem</span> <span class="key">import</span> <span class="nam">WorkCounter</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">ProblemDAE</span> <span class="key">import</span> <span class="nam">ptype_dae</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">problemDAE</span> <span class="key">import</span> <span class="nam">ProblemDAE</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t"><span class="key">class</span> <span class="nam">DiscontinuousTestDAE</span><span class="op">(</span><span class="nam">ptype_dae</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t"><span class="key">class</span> <span class="nam">DiscontinuousTestDAE</span><span class="op">(</span><span class="nam">ProblemDAE</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t8" href="#t8">8</a></span><span class="t">    <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t9" href="#t9">9</a></span><span class="t"><span class="str">    This class implements a scalar test discontinuous differential-algebraic equation (DAE) similar to [1]_. The event function</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t10" href="#t10">10</a></span><span class="t"><span class="str">    is defined as :math:`h(y):= 2y - 100`. Then, the discontinuous DAE model reads:</span>&nbsp;</span><span class="r"></span></p>
@@ -288,12 +288,12 @@ <h2>
 <footer>
     <div class="content">
         <p>
-            <a class="nav" href="z_0a363dd8c140c711_ProblemDAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
+            <a class="nav" href="z_0a363dd8c140c711_problemDAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
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+            <a class="nav" href="z_0eb34c630be51b75_pendulum2D_py.html">&#xbb; next</a>
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-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_0eb34c630be51b75_pendulum2D_py.html b/coverage/z_0eb34c630be51b75_pendulum2D_py.html
index eba5d1b894..cd759fa8cb 100644
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+            <a id="prevFileLink" class="nav" href="z_0eb34c630be51b75_discontinuousTestDAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
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+            created at 2024-07-27 09:26 +0000
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         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -80,10 +80,10 @@ <h2>
     </div>
 </header>
 <main id="source">
-    <p class="run"><span class="n"><a id="t1" href="#t1">1</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">ProblemDAE</span> <span class="key">import</span> <span class="nam">ptype_dae</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t1" href="#t1">1</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">problemDAE</span> <span class="key">import</span> <span class="nam">ProblemDAE</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t2" href="#t2">2</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t3" href="#t3">3</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t"><span class="key">class</span> <span class="nam">pendulum_2d</span><span class="op">(</span><span class="nam">ptype_dae</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t"><span class="key">class</span> <span class="nam">Pendulum2D</span><span class="op">(</span><span class="nam">ProblemDAE</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t">    <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t"><span class="str">    Example implementing the well known 2D pendulum as a first order differential-algebraic equation (DAE) of index 3.</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t"><span class="str">    The DAE system is given by the equations</span>&nbsp;</span><span class="r"></span></p>
@@ -198,12 +198,12 @@ <h2>
 <footer>
     <div class="content">
         <p>
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+            <a class="nav" href="z_0eb34c630be51b75_discontinuousTestDAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
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             <a class="nav" href="z_0eb34c630be51b75_problematicF_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
     </div>
 </footer>
diff --git a/coverage/z_0eb34c630be51b75_problematicF_py.html b/coverage/z_0eb34c630be51b75_problematicF_py.html
index 5603735aed..f01192aba0 100644
--- a/coverage/z_0eb34c630be51b75_problematicF_py.html
+++ b/coverage/z_0eb34c630be51b75_problematicF_py.html
@@ -62,10 +62,10 @@ <h2>
         <p class="text">
             <a id="prevFileLink" class="nav" href="z_0eb34c630be51b75_pendulum2D_py.html">&#xab; prev</a> &nbsp; &nbsp;
             <a id="indexLink" class="nav" href="index.html">&Hat; index</a> &nbsp; &nbsp;
-            <a id="nextFileLink" class="nav" href="z_0eb34c630be51b75_simple_DAE_py.html">&#xbb; next</a>
+            <a id="nextFileLink" class="nav" href="z_0eb34c630be51b75_simpleDAE_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -82,11 +82,11 @@ <h2>
 <main id="source">
     <p class="run"><span class="n"><a id="t1" href="#t1">1</a></span><span class="t"><span class="key">import</span> <span class="nam">numpy</span> <span class="key">as</span> <span class="nam">np</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t2" href="#t2">2</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t3" href="#t3">3</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">ProblemDAE</span> <span class="key">import</span> <span class="nam">ptype_dae</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t3" href="#t3">3</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">problemDAE</span> <span class="key">import</span> <span class="nam">ProblemDAE</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">implementations</span><span class="op">.</span><span class="nam">datatype_classes</span><span class="op">.</span><span class="nam">mesh</span> <span class="key">import</span> <span class="nam">mesh</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t"><span class="key">class</span> <span class="nam">problematic_f</span><span class="op">(</span><span class="nam">ptype_dae</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t"><span class="key">class</span> <span class="nam">ProblematicF</span><span class="op">(</span><span class="nam">ProblemDAE</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t8" href="#t8">8</a></span><span class="t">    <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t9" href="#t9">9</a></span><span class="t"><span class="str">    Standard example of a very simple fully implicit index-2 differential algebraic equation (DAE) that is not</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t10" href="#t10">10</a></span><span class="t"><span class="str">    numerically solvable for certain choices of the parameter :math:`\eta`. The DAE system is given by</span>&nbsp;</span><span class="r"></span></p>
@@ -193,10 +193,10 @@ <h2>
         <p>
             <a class="nav" href="z_0eb34c630be51b75_pendulum2D_py.html">&#xab; prev</a> &nbsp; &nbsp;
             <a class="nav" href="index.html">&Hat; index</a> &nbsp; &nbsp;
-            <a class="nav" href="z_0eb34c630be51b75_simple_DAE_py.html">&#xbb; next</a>
+            <a class="nav" href="z_0eb34c630be51b75_simpleDAE_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
     </div>
 </footer>
diff --git a/coverage/z_0eb34c630be51b75_simple_DAE_py.html b/coverage/z_0eb34c630be51b75_simpleDAE_py.html
similarity index 97%
rename from coverage/z_0eb34c630be51b75_simple_DAE_py.html
rename to coverage/z_0eb34c630be51b75_simpleDAE_py.html
index a2b1601df7..315a4a793e 100644
--- a/coverage/z_0eb34c630be51b75_simple_DAE_py.html
+++ b/coverage/z_0eb34c630be51b75_simpleDAE_py.html
@@ -2,7 +2,7 @@
 <html lang="en">
 <head>
     <meta http-equiv="Content-Type" content="text/html; charset=utf-8">
-    <title>Coverage for pySDC/projects/DAE/problems/simple_DAE.py: 100%</title>
+    <title>Coverage for pySDC/projects/DAE/problems/simpleDAE.py: 100%</title>
     <link rel="icon" sizes="32x32" href="favicon_32_cb_58284776.png">
     <link rel="stylesheet" href="style_cb_8e611ae1.css" type="text/css">
     <script src="coverage_html_cb_6fb7b396.js" defer></script>
@@ -11,7 +11,7 @@
 <header>
     <div class="content">
         <h1>
-            <span class="text">Coverage for </span><b>pySDC/projects/DAE/problems/simple_DAE.py</b>:
+            <span class="text">Coverage for </span><b>pySDC/projects/DAE/problems/simpleDAE.py</b>:
             <span class="pc_cov">100%</span>
         </h1>
         <aside id="help_panel_wrapper">
@@ -62,10 +62,10 @@ <h2>
         <p class="text">
             <a id="prevFileLink" class="nav" href="z_0eb34c630be51b75_problematicF_py.html">&#xab; prev</a> &nbsp; &nbsp;
             <a id="indexLink" class="nav" href="index.html">&Hat; index</a> &nbsp; &nbsp;
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+            <a id="nextFileLink" class="nav" href="z_0eb34c630be51b75_synchronousMachine_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
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+            created at 2024-07-27 09:26 +0000
         </p>
         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -82,10 +82,10 @@ <h2>
 <main id="source">
     <p class="run"><span class="n"><a id="t1" href="#t1">1</a></span><span class="t"><span class="key">import</span> <span class="nam">numpy</span> <span class="key">as</span> <span class="nam">np</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t2" href="#t2">2</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t3" href="#t3">3</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">ProblemDAE</span> <span class="key">import</span> <span class="nam">ptype_dae</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t3" href="#t3">3</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">problemDAE</span> <span class="key">import</span> <span class="nam">ProblemDAE</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t"><span class="key">class</span> <span class="nam">simple_dae_1</span><span class="op">(</span><span class="nam">ptype_dae</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t"><span class="key">class</span> <span class="nam">SimpleDAE</span><span class="op">(</span><span class="nam">ProblemDAE</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t">    <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t8" href="#t8">8</a></span><span class="t"><span class="str">    Example implementing a smooth linear index-2 differential-algebraic equation (DAE) with known analytical solution.</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t9" href="#t9">9</a></span><span class="t"><span class="str">    The DAE system is given by</span>&nbsp;</span><span class="r"></span></p>
@@ -201,10 +201,10 @@ <h2>
         <p>
             <a class="nav" href="z_0eb34c630be51b75_problematicF_py.html">&#xab; prev</a> &nbsp; &nbsp;
             <a class="nav" href="index.html">&Hat; index</a> &nbsp; &nbsp;
-            <a class="nav" href="z_0eb34c630be51b75_synchronous_machine_py.html">&#xbb; next</a>
+            <a class="nav" href="z_0eb34c630be51b75_synchronousMachine_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
     </div>
 </footer>
diff --git a/coverage/z_0eb34c630be51b75_synchronous_machine_py.html b/coverage/z_0eb34c630be51b75_synchronousMachine_py.html
similarity index 95%
rename from coverage/z_0eb34c630be51b75_synchronous_machine_py.html
rename to coverage/z_0eb34c630be51b75_synchronousMachine_py.html
index 64f56c58ca..e7e59a3dce 100644
--- a/coverage/z_0eb34c630be51b75_synchronous_machine_py.html
+++ b/coverage/z_0eb34c630be51b75_synchronousMachine_py.html
@@ -2,7 +2,7 @@
 <html lang="en">
 <head>
     <meta http-equiv="Content-Type" content="text/html; charset=utf-8">
-    <title>Coverage for pySDC/projects/DAE/problems/synchronous_machine.py: 96%</title>
+    <title>Coverage for pySDC/projects/DAE/problems/synchronousMachine.py: 96%</title>
     <link rel="icon" sizes="32x32" href="favicon_32_cb_58284776.png">
     <link rel="stylesheet" href="style_cb_8e611ae1.css" type="text/css">
     <script src="coverage_html_cb_6fb7b396.js" defer></script>
@@ -11,7 +11,7 @@
 <header>
     <div class="content">
         <h1>
-            <span class="text">Coverage for </span><b>pySDC/projects/DAE/problems/synchronous_machine.py</b>:
+            <span class="text">Coverage for </span><b>pySDC/projects/DAE/problems/synchronousMachine.py</b>:
             <span class="pc_cov">96%</span>
         </h1>
         <aside id="help_panel_wrapper">
@@ -54,18 +54,18 @@ <h1>
             </div>
         </aside>
         <h2>
-            <span class="text">76 statements &nbsp;</span>
-            <button type="button" class="run button_toggle_run" value="run" data-shortcut="r" title="Toggle lines run">73<span class="text"> run</span></button>
+            <span class="text">75 statements &nbsp;</span>
+            <button type="button" class="run button_toggle_run" value="run" data-shortcut="r" title="Toggle lines run">72<span class="text"> run</span></button>
             <button type="button" class="mis show_mis button_toggle_mis" value="mis" data-shortcut="m" title="Toggle lines missing">3<span class="text"> missing</span></button>
             <button type="button" class="exc show_exc button_toggle_exc" value="exc" data-shortcut="x" title="Toggle lines excluded">0<span class="text"> excluded</span></button>
         </h2>
         <p class="text">
-            <a id="prevFileLink" class="nav" href="z_0eb34c630be51b75_simple_DAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
+            <a id="prevFileLink" class="nav" href="z_0eb34c630be51b75_simpleDAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
             <a id="indexLink" class="nav" href="index.html">&Hat; index</a> &nbsp; &nbsp;
-            <a id="nextFileLink" class="nav" href="z_0eb34c630be51b75_transistor_amplifier_py.html">&#xbb; next</a>
+            <a id="nextFileLink" class="nav" href="z_0eb34c630be51b75_transistorAmplifier_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -84,490 +84,489 @@ <h2>
     <p class="run"><span class="n"><a id="t2" href="#t2">2</a></span><span class="t"><span class="key">import</span> <span class="nam">warnings</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t3" href="#t3">3</a></span><span class="t"><span class="key">from</span> <span class="nam">scipy</span><span class="op">.</span><span class="nam">interpolate</span> <span class="key">import</span> <span class="nam">interp1d</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">ProblemDAE</span> <span class="key">import</span> <span class="nam">ptype_dae</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">implementations</span><span class="op">.</span><span class="nam">datatype_classes</span><span class="op">.</span><span class="nam">mesh</span> <span class="key">import</span> <span class="nam">mesh</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">problemDAE</span> <span class="key">import</span> <span class="nam">ProblemDAE</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t8" href="#t8">8</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t9" href="#t9">9</a></span><span class="t"><span class="key">class</span> <span class="nam">synchronous_machine_infinite_bus</span><span class="op">(</span><span class="nam">ptype_dae</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t10" href="#t10">10</a></span><span class="t">    <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t11" href="#t11">11</a></span><span class="t"><span class="str">    Synchronous machine model from Kundur (equiv. circuits fig. 3.18 in [1]_) attached to infinite bus. The machine can be</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t12" href="#t12">12</a></span><span class="t"><span class="str">    represented as two different circuits at the direct-axis and the quadrature-axis. Detailed information can be found in</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t13" href="#t13">13</a></span><span class="t"><span class="str">    [1]_. The system of differential-algebraic equations (DAEs) consists of the equations for</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t14" href="#t14">14</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t15" href="#t15">15</a></span><span class="t"><span class="str">        - the stator voltage equations</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t16" href="#t16">16</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t17" href="#t17">17</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t18" href="#t18">18</a></span><span class="t"><span class="str">            \frac{d \Psi_d (t)}{dt} = \omega_b (v_d + R_a i_d (t) + \omega_r \Psi_q (t)),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t19" href="#t19">19</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t20" href="#t20">20</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t21" href="#t21">21</a></span><span class="t"><span class="str">            \frac{d \Psi_q (t)}{dt} = \omega_b (v_q + R_a i_q (t) - \omega_r \Psi_d (t)),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t22" href="#t22">22</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t23" href="#t23">23</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t24" href="#t24">24</a></span><span class="t"><span class="str">            \frac{d \Psi_0 (t)}{dt} = \omega_b (v_0 + R_a i_0 (t)),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t25" href="#t25">25</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t26" href="#t26">26</a></span><span class="t"><span class="str">        - the rotor voltage equations</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t27" href="#t27">27</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t28" href="#t28">28</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t29" href="#t29">29</a></span><span class="t"><span class="str">            \frac{d \Psi_F (t)}{dt} = \omega_b (v_F - R_F i_F (t)),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t30" href="#t30">30</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t31" href="#t31">31</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t32" href="#t32">32</a></span><span class="t"><span class="str">            \frac{d \Psi_D (t)}{dt} = -\omega_b (R_D i_D (t)),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t33" href="#t33">33</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t34" href="#t34">34</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t35" href="#t35">35</a></span><span class="t"><span class="str">            \frac{d \Psi_{Q1} (t)}{dt} = -\omega_b (R_{Q1} i_{Q1} (t)),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t36" href="#t36">36</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t37" href="#t37">37</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t38" href="#t38">38</a></span><span class="t"><span class="str">            \frac{d \Psi_{Q2} (t)}{dt} = -\omega_b (R_{Q2} i_{Q2} (t)),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t39" href="#t39">39</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t40" href="#t40">40</a></span><span class="t"><span class="str">        - the stator flux linkage equations</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t41" href="#t41">41</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t42" href="#t42">42</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t43" href="#t43">43</a></span><span class="t"><span class="str">            \Psi_d (t) = L_d i_d (t)  + L_{md} i_F (t) + L_{md} i_D (t),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t44" href="#t44">44</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t45" href="#t45">45</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t46" href="#t46">46</a></span><span class="t"><span class="str">            \Psi_q (t) = L_q i_q (t) + L_{mq} i_{Q1} (t) + L_{mq} i_{Q2} (t),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t47" href="#t47">47</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t48" href="#t48">48</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t49" href="#t49">49</a></span><span class="t"><span class="str">            \Psi_0 (t) = L_0 i_0 (t)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t50" href="#t50">50</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t51" href="#t51">51</a></span><span class="t"><span class="str">        - the rotor flux linkage equations</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t52" href="#t52">52</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t53" href="#t53">53</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t54" href="#t54">54</a></span><span class="t"><span class="str">            \Psi_F = L_F i_F (t) + L_D i_D + L_{md} i_d (t),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t55" href="#t55">55</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t56" href="#t56">56</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t57" href="#t57">57</a></span><span class="t"><span class="str">            \Psi_D = L_F i_F (t) + L_D i_D + L_{md} i_d (t),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t58" href="#t58">58</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t59" href="#t59">59</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t60" href="#t60">60</a></span><span class="t"><span class="str">            \Psi_{Q1} = L_{Q1} i_{Q1} (t) + L_{mq} i_{Q2} + L_{mq} i_q (t),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t61" href="#t61">61</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t62" href="#t62">62</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t63" href="#t63">63</a></span><span class="t"><span class="str">            \Psi_{Q2} = L_{mq} i_{Q1} (t) + L_{Q2} i_{Q2} + L_{mq} i_q (t),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t64" href="#t64">64</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t65" href="#t65">65</a></span><span class="t"><span class="str">        - the swing equations</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t66" href="#t66">66</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t67" href="#t67">67</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t68" href="#t68">68</a></span><span class="t"><span class="str">            \frac{d \delta (t)}{dt} = \omega_b (\omega_r (t) - 1),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t69" href="#t69">69</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t70" href="#t70">70</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t71" href="#t71">71</a></span><span class="t"><span class="str">            \frac{d \omega_r (t)}{dt} = \frac{1}{2 H}(T_m - T_e - K_D \omega_b (\omega_r (t) - 1)).</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t72" href="#t72">72</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t73" href="#t73">73</a></span><span class="t"><span class="str">    The voltages :math:`v_d`, :math:`v_q` can be updated via the following procedure. The stator's currents are mapped</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t74" href="#t74">74</a></span><span class="t"><span class="str">    to the comlex-valued external reference frame current :math:`I` with</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t75" href="#t75">75</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t76" href="#t76">76</a></span><span class="t"><span class="str">    .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t77" href="#t77">77</a></span><span class="t"><span class="str">        \Re(I) = i_d (t) \sin(\delta (t)) + i_q (t) \cos(\delta (t)),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t78" href="#t78">78</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t79" href="#t79">79</a></span><span class="t"><span class="str">    .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t80" href="#t80">80</a></span><span class="t"><span class="str">        \Im(I) = -i_d (t) \cos(\delta (t)) + i_q (t) \sin(\delta (t)).</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t81" href="#t81">81</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t82" href="#t82">82</a></span><span class="t"><span class="str">    The voltage V across the stator terminals can then be computed as complex-value via</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t83" href="#t83">83</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t84" href="#t84">84</a></span><span class="t"><span class="str">    .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t85" href="#t85">85</a></span><span class="t"><span class="str">        V_{comp} = E_B + Z_{line} (\Re(I) + i \Im(I))</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t86" href="#t86">86</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t87" href="#t87">87</a></span><span class="t"><span class="str">    with impedance :math:`Z_{line}\in\mathbb{C}`. Then, :math:`v_d`, :math:`v_q` can be computed via the network equations</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t88" href="#t88">88</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t89" href="#t89">89</a></span><span class="t"><span class="str">    .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t90" href="#t90">90</a></span><span class="t"><span class="str">        v_d = \Re(V_{comp}) \sin(\delta (t)) - \Im(V_{comp}) \cos(\delta (t)),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t91" href="#t91">91</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t92" href="#t92">92</a></span><span class="t"><span class="str">    .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t93" href="#t93">93</a></span><span class="t"><span class="str">       v_q = \Re(V_{comp}) \cos(\delta (t)) + \Im(V_{comp}) \sin(\delta (t)),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t94" href="#t94">94</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t95" href="#t95">95</a></span><span class="t"><span class="str">    which describes the connection between the machine and the infinite bus.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t96" href="#t96">96</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t97" href="#t97">97</a></span><span class="t"><span class="str">    Parameters</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t98" href="#t98">98</a></span><span class="t"><span class="str">    ----------</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t99" href="#t99">99</a></span><span class="t"><span class="str">    nvars : int</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t100" href="#t100">100</a></span><span class="t"><span class="str">        Number of unknowns of the system of DAEs.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t101" href="#t101">101</a></span><span class="t"><span class="str">    newton_tol : float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t102" href="#t102">102</a></span><span class="t"><span class="str">        Tolerance for Newton solver.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t103" href="#t103">103</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t104" href="#t104">104</a></span><span class="t"><span class="str">    Attributes</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t105" href="#t105">105</a></span><span class="t"><span class="str">    ----------</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t106" href="#t106">106</a></span><span class="t"><span class="str">    L_d: float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t107" href="#t107">107</a></span><span class="t"><span class="str">        Inductance of inductor :math:'L_d', see [1]_.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t108" href="#t108">108</a></span><span class="t"><span class="str">    L_q: float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t109" href="#t109">109</a></span><span class="t"><span class="str">        Inductance of inductor :math:'L_q', see [1]_.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t110" href="#t110">110</a></span><span class="t"><span class="str">    L_F: float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t111" href="#t111">111</a></span><span class="t"><span class="str">        Inductance of inductor :math:'L_F', see [1]_.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t112" href="#t112">112</a></span><span class="t"><span class="str">    L_D: float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t113" href="#t113">113</a></span><span class="t"><span class="str">        Inductance of inductor :math:'L_D', see [1]_.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t114" href="#t114">114</a></span><span class="t"><span class="str">    L_Q1: float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t115" href="#t115">115</a></span><span class="t"><span class="str">        Inductance of inductor :math:'L_{Q1}', see [1]_.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t116" href="#t116">116</a></span><span class="t"><span class="str">    L_Q2: float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t117" href="#t117">117</a></span><span class="t"><span class="str">        Inductance of inductor :math:'L_{Q2}', see [1]_.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t118" href="#t118">118</a></span><span class="t"><span class="str">    L_md: float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t119" href="#t119">119</a></span><span class="t"><span class="str">        Inductance of inductor :math:'L_{md}', see [1]_.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t120" href="#t120">120</a></span><span class="t"><span class="str">    L_mq: float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t121" href="#t121">121</a></span><span class="t"><span class="str">        Inductance of inductor :math:'L_{mq}', see [1]_.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t122" href="#t122">122</a></span><span class="t"><span class="str">    R_s: float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t123" href="#t123">123</a></span><span class="t"><span class="str">        Resistance of resistor :math:`R_s`, see [1]_.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t124" href="#t124">124</a></span><span class="t"><span class="str">    R_F: float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t125" href="#t125">125</a></span><span class="t"><span class="str">        Resistance of resistor :math:`R_F`, see [1]_.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t126" href="#t126">126</a></span><span class="t"><span class="str">    R_D: float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t127" href="#t127">127</a></span><span class="t"><span class="str">        Resistance of resistor :math:`R_D`, see [1]_.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t128" href="#t128">128</a></span><span class="t"><span class="str">    R_Q1: float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t129" href="#t129">129</a></span><span class="t"><span class="str">        Resistance of resistor :math:`R_{Q1}`, see [1]_.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t130" href="#t130">130</a></span><span class="t"><span class="str">    R_Q2: float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t131" href="#t131">131</a></span><span class="t"><span class="str">        Resistance of resistor :math:`R_{Q2}`, see [1]_.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t132" href="#t132">132</a></span><span class="t"><span class="str">    omega_b: float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t133" href="#t133">133</a></span><span class="t"><span class="str">        Base frequency of the rotor in mechanical :math:`rad/s`.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t134" href="#t134">134</a></span><span class="t"><span class="str">    H_: float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t135" href="#t135">135</a></span><span class="t"><span class="str">        Defines the per unit inertia constant.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t136" href="#t136">136</a></span><span class="t"><span class="str">    K_D: float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t137" href="#t137">137</a></span><span class="t"><span class="str">        Factor that accounts for damping losses.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t138" href="#t138">138</a></span><span class="t"><span class="str">    Z_line: complex</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t139" href="#t139">139</a></span><span class="t"><span class="str">        Impedance of the transmission line that connects the infinite bus to the generator.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t140" href="#t140">140</a></span><span class="t"><span class="str">    E_B: float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t141" href="#t141">141</a></span><span class="t"><span class="str">        Voltage of infinite bus.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t142" href="#t142">142</a></span><span class="t"><span class="str">    v_F: float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t143" href="#t143">143</a></span><span class="t"><span class="str">        Voltage at the field winding.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t144" href="#t144">144</a></span><span class="t"><span class="str">    T_m: float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t145" href="#t145">145</a></span><span class="t"><span class="str">        Defines the mechanical torque applied to the rotor shaft.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t146" href="#t146">146</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t147" href="#t147">147</a></span><span class="t"><span class="str">    References</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t148" href="#t148">148</a></span><span class="t"><span class="str">    ----------</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t149" href="#t149">149</a></span><span class="t"><span class="str">    .. [1] P. Kundur, N. J. Balu, M. G. Lauby. Power system stability and control. The EPRI power system series (1994).</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t150" href="#t150">150</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t151" href="#t151">151</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t152" href="#t152">152</a></span><span class="t">    <span class="key">def</span> <span class="nam">__init__</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">newton_tol</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t153" href="#t153">153</a></span><span class="t">        <span class="nam">super</span><span class="op">(</span><span class="op">)</span><span class="op">.</span><span class="nam">__init__</span><span class="op">(</span><span class="nam">nvars</span><span class="op">=</span><span class="num">14</span><span class="op">,</span> <span class="nam">newton_tol</span><span class="op">=</span><span class="nam">newton_tol</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t154" href="#t154">154</a></span><span class="t">        <span class="com"># load reference solution</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t155" href="#t155">155</a></span><span class="t">        <span class="com"># data file must be generated and stored under misc/data and self.t_end = t[-1]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t156" href="#t156">156</a></span><span class="t">        <span class="com"># data = np.load(r'pySDC/projects/DAE/misc/data/synch_gen.npy')</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t157" href="#t157">157</a></span><span class="t">        <span class="com"># x = data[:, 0]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t158" href="#t158">158</a></span><span class="t">        <span class="com"># y = data[:, 1:]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t159" href="#t159">159</a></span><span class="t">        <span class="com"># self.u_ref = interp1d(x, y, kind='cubic', axis=0, fill_value='extrapolate')</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t160" href="#t160">160</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">t_end</span> <span class="op">=</span> <span class="num">0.0</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t161" href="#t161">161</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t162" href="#t162">162</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">L_d</span> <span class="op">=</span> <span class="num">1.8099</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t163" href="#t163">163</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">L_q</span> <span class="op">=</span> <span class="num">1.76</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t164" href="#t164">164</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">L_F</span> <span class="op">=</span> <span class="num">1.8247</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t165" href="#t165">165</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">L_D</span> <span class="op">=</span> <span class="num">1.8312</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t166" href="#t166">166</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">L_Q1</span> <span class="op">=</span> <span class="num">2.3352</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t167" href="#t167">167</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">L_Q2</span> <span class="op">=</span> <span class="num">1.735</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t168" href="#t168">168</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">L_md</span> <span class="op">=</span> <span class="num">1.6599</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t169" href="#t169">169</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">L_mq</span> <span class="op">=</span> <span class="num">1.61</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t170" href="#t170">170</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">R_s</span> <span class="op">=</span> <span class="num">0.003</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t171" href="#t171">171</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">R_F</span> <span class="op">=</span> <span class="num">0.0006</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t172" href="#t172">172</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">R_D</span> <span class="op">=</span> <span class="num">0.0284</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t173" href="#t173">173</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">R_Q1</span> <span class="op">=</span> <span class="num">0.0062</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t174" href="#t174">174</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">R_Q2</span> <span class="op">=</span> <span class="num">0.0237</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t175" href="#t175">175</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">omega_b</span> <span class="op">=</span> <span class="num">376.9911184307752</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t176" href="#t176">176</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">H_</span> <span class="op">=</span> <span class="num">3.525</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t177" href="#t177">177</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">K_D</span> <span class="op">=</span> <span class="num">0.0</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t178" href="#t178">178</a></span><span class="t">        <span class="com"># Line impedance</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t179" href="#t179">179</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">Z_line</span> <span class="op">=</span> <span class="op">-</span><span class="num">0.2688022164909709</span> <span class="op">-</span> <span class="num">0.15007173591230372j</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t180" href="#t180">180</a></span><span class="t">        <span class="com"># Infinite bus voltage</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t181" href="#t181">181</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">E_B</span> <span class="op">=</span> <span class="num">0.7</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t182" href="#t182">182</a></span><span class="t">        <span class="com"># Rotor (field) operating voltages</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t183" href="#t183">183</a></span><span class="t">        <span class="com"># These are modelled as constants. Intuition: permanent magnet as rotor</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t184" href="#t184">184</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">v_F</span> <span class="op">=</span> <span class="num">8.736809687330562e-4</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t185" href="#t185">185</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">T_m</span> <span class="op">=</span> <span class="num">0.854</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t186" href="#t186">186</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t187" href="#t187">187</a></span><span class="t">    <span class="key">def</span> <span class="nam">eval_f</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">u</span><span class="op">,</span> <span class="nam">du</span><span class="op">,</span> <span class="nam">t</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t188" href="#t188">188</a></span><span class="t">        <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t189" href="#t189">189</a></span><span class="t"><span class="str">        Routine to evaluate the implicit representation of the problem, i.e., :math:`F(u, u', t)`.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t190" href="#t190">190</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t191" href="#t191">191</a></span><span class="t"><span class="str">        Parameters</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t192" href="#t192">192</a></span><span class="t"><span class="str">        ----------</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t193" href="#t193">193</a></span><span class="t"><span class="str">        u : dtype_u</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t194" href="#t194">194</a></span><span class="t"><span class="str">            Current values of the numerical solution at time t.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t195" href="#t195">195</a></span><span class="t"><span class="str">        du : dtype_u</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t196" href="#t196">196</a></span><span class="t"><span class="str">            Current values of the derivative of the numerical solution at time t.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t197" href="#t197">197</a></span><span class="t"><span class="str">        t : float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t198" href="#t198">198</a></span><span class="t"><span class="str">            Current time of the numerical solution.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t199" href="#t199">199</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t200" href="#t200">200</a></span><span class="t"><span class="str">        Returns</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t201" href="#t201">201</a></span><span class="t"><span class="str">        -------</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t202" href="#t202">202</a></span><span class="t"><span class="str">        f : dtype_f</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t203" href="#t203">203</a></span><span class="t"><span class="str">            Current value of the right-hand side of f (which includes 14 components).</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t204" href="#t204">204</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t205" href="#t205">205</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t206" href="#t206">206</a></span><span class="t">        <span class="com"># simulate torque change at t = 0.05</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t207" href="#t207">207</a></span><span class="t">        <span class="key">if</span> <span class="nam">t</span> <span class="op">>=</span> <span class="num">0.05</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t208" href="#t208">208</a></span><span class="t">            <span class="nam">self</span><span class="op">.</span><span class="nam">T_m</span> <span class="op">=</span> <span class="num">0.354</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t209" href="#t209">209</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t210" href="#t210">210</a></span><span class="t">        <span class="nam">f</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">dtype_f</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">init</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t211" href="#t211">211</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t212" href="#t212">212</a></span><span class="t">        <span class="com"># u = [psi_d, psi_q, psi_F, psi_D, psi_Q1, psi_Q2,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t213" href="#t213">213</a></span><span class="t">        <span class="com">#       i_d, i_q, i_F, i_D, i_Q1, i_Q2</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t214" href="#t214">214</a></span><span class="t">        <span class="com">#       omega_m,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t215" href="#t215">215</a></span><span class="t">        <span class="com">#       v_d, v_q,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t216" href="#t216">216</a></span><span class="t">        <span class="com">#       iz_d, iz_q, il_d, il_q, vl_d, vl_q]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t217" href="#t217">217</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t218" href="#t218">218</a></span><span class="t">        <span class="com"># extract variables for readability</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t219" href="#t219">219</a></span><span class="t">        <span class="com"># algebraic components</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t220" href="#t220">220</a></span><span class="t">        <span class="nam">psi_d</span><span class="op">,</span> <span class="nam">psi_q</span><span class="op">,</span> <span class="nam">psi_F</span><span class="op">,</span> <span class="nam">psi_D</span><span class="op">,</span> <span class="nam">psi_Q1</span><span class="op">,</span> <span class="nam">psi_Q2</span> <span class="op">=</span> <span class="nam">u</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">1</span><span class="op">]</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">2</span><span class="op">]</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">3</span><span class="op">]</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">4</span><span class="op">]</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">5</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t221" href="#t221">221</a></span><span class="t">        <span class="nam">delta_r</span><span class="op">,</span> <span class="nam">omega_m</span> <span class="op">=</span> <span class="nam">u</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">6</span><span class="op">]</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">7</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t222" href="#t222">222</a></span><span class="t">        <span class="nam">i_d</span><span class="op">,</span> <span class="nam">i_q</span><span class="op">,</span> <span class="nam">i_F</span><span class="op">,</span> <span class="nam">i_D</span><span class="op">,</span> <span class="nam">i_Q1</span><span class="op">,</span> <span class="nam">i_Q2</span> <span class="op">=</span> <span class="nam">u</span><span class="op">.</span><span class="nam">alg</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">alg</span><span class="op">[</span><span class="num">1</span><span class="op">]</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">alg</span><span class="op">[</span><span class="num">2</span><span class="op">]</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">alg</span><span class="op">[</span><span class="num">3</span><span class="op">]</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">alg</span><span class="op">[</span><span class="num">4</span><span class="op">]</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">alg</span><span class="op">[</span><span class="num">5</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t223" href="#t223">223</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t224" href="#t224">224</a></span><span class="t">        <span class="com"># differential components</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t225" href="#t225">225</a></span><span class="t">        <span class="com"># these result directly from the voltage equations, introduced e.g. pg. 145 Krause</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t226" href="#t226">226</a></span><span class="t">        <span class="nam">dpsi_d</span><span class="op">,</span> <span class="nam">dpsi_q</span><span class="op">,</span> <span class="nam">dpsi_F</span><span class="op">,</span> <span class="nam">dpsi_D</span><span class="op">,</span> <span class="nam">dpsi_Q1</span><span class="op">,</span> <span class="nam">dpsi_Q2</span> <span class="op">=</span> <span class="op">(</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t227" href="#t227">227</a></span><span class="t">            <span class="nam">du</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t228" href="#t228">228</a></span><span class="t">            <span class="nam">du</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">1</span><span class="op">]</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t229" href="#t229">229</a></span><span class="t">            <span class="nam">du</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">2</span><span class="op">]</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t230" href="#t230">230</a></span><span class="t">            <span class="nam">du</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">3</span><span class="op">]</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t231" href="#t231">231</a></span><span class="t">            <span class="nam">du</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">4</span><span class="op">]</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t232" href="#t232">232</a></span><span class="t">            <span class="nam">du</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">5</span><span class="op">]</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t233" href="#t233">233</a></span><span class="t">        <span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t234" href="#t234">234</a></span><span class="t">        <span class="nam">ddelta_r</span><span class="op">,</span> <span class="nam">domega_m</span> <span class="op">=</span> <span class="nam">du</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">6</span><span class="op">]</span><span class="op">,</span> <span class="nam">du</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">7</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t235" href="#t235">235</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t236" href="#t236">236</a></span><span class="t">        <span class="com"># Network current</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t237" href="#t237">237</a></span><span class="t">        <span class="nam">I_Re</span> <span class="op">=</span> <span class="nam">i_d</span> <span class="op">*</span> <span class="nam">np</span><span class="op">.</span><span class="nam">sin</span><span class="op">(</span><span class="nam">delta_r</span><span class="op">)</span> <span class="op">+</span> <span class="nam">i_q</span> <span class="op">*</span> <span class="nam">np</span><span class="op">.</span><span class="nam">cos</span><span class="op">(</span><span class="nam">delta_r</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t238" href="#t238">238</a></span><span class="t">        <span class="nam">I_Im</span> <span class="op">=</span> <span class="op">-</span><span class="nam">i_d</span> <span class="op">*</span> <span class="nam">np</span><span class="op">.</span><span class="nam">cos</span><span class="op">(</span><span class="nam">delta_r</span><span class="op">)</span> <span class="op">+</span> <span class="nam">i_q</span> <span class="op">*</span> <span class="nam">np</span><span class="op">.</span><span class="nam">sin</span><span class="op">(</span><span class="nam">delta_r</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t239" href="#t239">239</a></span><span class="t">        <span class="com"># Machine terminal voltages in network coordinates</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t240" href="#t240">240</a></span><span class="t">        <span class="com"># Need to transform like this to subtract infinite bus voltage</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t241" href="#t241">241</a></span><span class="t">        <span class="nam">V_comp</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">E_B</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">Z_line</span> <span class="op">*</span> <span class="op">(</span><span class="op">-</span><span class="num">1</span><span class="op">)</span> <span class="op">*</span> <span class="op">(</span><span class="nam">I_Re</span> <span class="op">+</span> <span class="num">1j</span> <span class="op">*</span> <span class="nam">I_Im</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t242" href="#t242">242</a></span><span class="t">        <span class="com"># Terminal voltages in dq0 coordinates</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t243" href="#t243">243</a></span><span class="t">        <span class="nam">v_d</span> <span class="op">=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">real</span><span class="op">(</span><span class="nam">V_comp</span><span class="op">)</span> <span class="op">*</span> <span class="nam">np</span><span class="op">.</span><span class="nam">sin</span><span class="op">(</span><span class="nam">delta_r</span><span class="op">)</span> <span class="op">-</span> <span class="nam">np</span><span class="op">.</span><span class="nam">imag</span><span class="op">(</span><span class="nam">V_comp</span><span class="op">)</span> <span class="op">*</span> <span class="nam">np</span><span class="op">.</span><span class="nam">cos</span><span class="op">(</span><span class="nam">delta_r</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t244" href="#t244">244</a></span><span class="t">        <span class="nam">v_q</span> <span class="op">=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">real</span><span class="op">(</span><span class="nam">V_comp</span><span class="op">)</span> <span class="op">*</span> <span class="nam">np</span><span class="op">.</span><span class="nam">cos</span><span class="op">(</span><span class="nam">delta_r</span><span class="op">)</span> <span class="op">+</span> <span class="nam">np</span><span class="op">.</span><span class="nam">imag</span><span class="op">(</span><span class="nam">V_comp</span><span class="op">)</span> <span class="op">*</span> <span class="nam">np</span><span class="op">.</span><span class="nam">sin</span><span class="op">(</span><span class="nam">delta_r</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t245" href="#t245">245</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t246" href="#t246">246</a></span><span class="t">        <span class="nam">f</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="op">:</span><span class="num">8</span><span class="op">]</span> <span class="op">=</span> <span class="op">(</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t247" href="#t247">247</a></span><span class="t">            <span class="op">-</span><span class="nam">dpsi_d</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">omega_b</span> <span class="op">*</span> <span class="op">(</span><span class="nam">v_d</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">R_s</span> <span class="op">*</span> <span class="nam">i_d</span> <span class="op">+</span> <span class="nam">omega_m</span> <span class="op">*</span> <span class="nam">psi_q</span><span class="op">)</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t248" href="#t248">248</a></span><span class="t">            <span class="op">-</span><span class="nam">dpsi_q</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">omega_b</span> <span class="op">*</span> <span class="op">(</span><span class="nam">v_q</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">R_s</span> <span class="op">*</span> <span class="nam">i_q</span> <span class="op">-</span> <span class="nam">omega_m</span> <span class="op">*</span> <span class="nam">psi_d</span><span class="op">)</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t249" href="#t249">249</a></span><span class="t">            <span class="op">-</span><span class="nam">dpsi_F</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">omega_b</span> <span class="op">*</span> <span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">v_F</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">R_F</span> <span class="op">*</span> <span class="nam">i_F</span><span class="op">)</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t250" href="#t250">250</a></span><span class="t">            <span class="op">-</span><span class="nam">dpsi_D</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">omega_b</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">R_D</span> <span class="op">*</span> <span class="nam">i_D</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t251" href="#t251">251</a></span><span class="t">            <span class="op">-</span><span class="nam">dpsi_Q1</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">omega_b</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">R_Q1</span> <span class="op">*</span> <span class="nam">i_Q1</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t252" href="#t252">252</a></span><span class="t">            <span class="op">-</span><span class="nam">dpsi_Q2</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">omega_b</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">R_Q2</span> <span class="op">*</span> <span class="nam">i_Q2</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t253" href="#t253">253</a></span><span class="t">            <span class="op">-</span><span class="nam">ddelta_r</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">omega_b</span> <span class="op">*</span> <span class="op">(</span><span class="nam">omega_m</span> <span class="op">-</span> <span class="num">1</span><span class="op">)</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t254" href="#t254">254</a></span><span class="t">            <span class="op">-</span><span class="nam">domega_m</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t255" href="#t255">255</a></span><span class="t">            <span class="op">+</span> <span class="num">1</span> <span class="op">/</span> <span class="op">(</span><span class="num">2</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">H_</span><span class="op">)</span> <span class="op">*</span> <span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">T_m</span> <span class="op">-</span> <span class="op">(</span><span class="nam">psi_q</span> <span class="op">*</span> <span class="nam">i_d</span> <span class="op">-</span> <span class="nam">psi_d</span> <span class="op">*</span> <span class="nam">i_q</span><span class="op">)</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">K_D</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">omega_b</span> <span class="op">*</span> <span class="op">(</span><span class="nam">omega_m</span> <span class="op">-</span> <span class="num">1</span><span class="op">)</span><span class="op">)</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t256" href="#t256">256</a></span><span class="t">        <span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t257" href="#t257">257</a></span><span class="t">        <span class="nam">f</span><span class="op">.</span><span class="nam">alg</span><span class="op">[</span><span class="op">:</span><span class="num">6</span><span class="op">]</span> <span class="op">=</span> <span class="op">(</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t258" href="#t258">258</a></span><span class="t">            <span class="op">-</span><span class="nam">psi_d</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_d</span> <span class="op">*</span> <span class="nam">i_d</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_md</span> <span class="op">*</span> <span class="nam">i_F</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_md</span> <span class="op">*</span> <span class="nam">i_D</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t259" href="#t259">259</a></span><span class="t">            <span class="op">-</span><span class="nam">psi_q</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_q</span> <span class="op">*</span> <span class="nam">i_q</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_mq</span> <span class="op">*</span> <span class="nam">i_Q1</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_mq</span> <span class="op">*</span> <span class="nam">i_Q2</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t260" href="#t260">260</a></span><span class="t">            <span class="op">-</span><span class="nam">psi_F</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_md</span> <span class="op">*</span> <span class="nam">i_d</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_F</span> <span class="op">*</span> <span class="nam">i_F</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_md</span> <span class="op">*</span> <span class="nam">i_D</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t261" href="#t261">261</a></span><span class="t">            <span class="op">-</span><span class="nam">psi_D</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_md</span> <span class="op">*</span> <span class="nam">i_d</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_md</span> <span class="op">*</span> <span class="nam">i_F</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_D</span> <span class="op">*</span> <span class="nam">i_D</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t262" href="#t262">262</a></span><span class="t">            <span class="op">-</span><span class="nam">psi_Q1</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_mq</span> <span class="op">*</span> <span class="nam">i_q</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_Q1</span> <span class="op">*</span> <span class="nam">i_Q1</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_mq</span> <span class="op">*</span> <span class="nam">i_Q2</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t263" href="#t263">263</a></span><span class="t">            <span class="op">-</span><span class="nam">psi_Q2</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_mq</span> <span class="op">*</span> <span class="nam">i_q</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_mq</span> <span class="op">*</span> <span class="nam">i_Q1</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_Q2</span> <span class="op">*</span> <span class="nam">i_Q2</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t264" href="#t264">264</a></span><span class="t">        <span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t265" href="#t265">265</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">work_counters</span><span class="op">[</span><span class="str">'rhs'</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t266" href="#t266">266</a></span><span class="t">        <span class="key">return</span> <span class="nam">f</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t267" href="#t267">267</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t268" href="#t268">268</a></span><span class="t">    <span class="key">def</span> <span class="nam">u_exact</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">t</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t269" href="#t269">269</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t270" href="#t270">270</a></span><span class="t"><span class="str">        Approximation of the exact solution generated by spline interpolation of an extremely accurate numerical reference solution.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t271" href="#t271">271</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t272" href="#t272">272</a></span><span class="t"><span class="str">        Parameters</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t273" href="#t273">273</a></span><span class="t"><span class="str">        ----------</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t274" href="#t274">274</a></span><span class="t"><span class="str">        t : float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t275" href="#t275">275</a></span><span class="t"><span class="str">            The time of the reference solution.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t276" href="#t276">276</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t277" href="#t277">277</a></span><span class="t"><span class="str">        Returns</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t278" href="#t278">278</a></span><span class="t"><span class="str">        -------</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t279" href="#t279">279</a></span><span class="t"><span class="str">        me : dtype_u</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t280" href="#t280">280</a></span><span class="t"><span class="str">            The reference solution as mesh object. It contains fixed initial conditions at initial time (which includes</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t281" href="#t281">281</a></span><span class="t"><span class="str">            14 components).</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t282" href="#t282">282</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t283" href="#t283">283</a></span><span class="t">        <span class="nam">me</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">init</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t284" href="#t284">284</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t285" href="#t285">285</a></span><span class="t">        <span class="key">if</span> <span class="nam">t</span> <span class="op">==</span> <span class="num">0</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t286" href="#t286">286</a></span><span class="t">            <span class="nam">psi_d</span> <span class="op">=</span> <span class="num">0.7770802016688648</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t287" href="#t287">287</a></span><span class="t">            <span class="nam">psi_q</span> <span class="op">=</span> <span class="op">-</span><span class="num">0.6337183129426077</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t288" href="#t288">288</a></span><span class="t">            <span class="nam">psi_F</span> <span class="op">=</span> <span class="num">1.152966888216155</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t289" href="#t289">289</a></span><span class="t">            <span class="nam">psi_D</span> <span class="op">=</span> <span class="num">0.9129958488040036</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t290" href="#t290">290</a></span><span class="t">            <span class="nam">psi_Q1</span> <span class="op">=</span> <span class="op">-</span><span class="num">0.5797082294536264</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t291" href="#t291">291</a></span><span class="t">            <span class="nam">psi_Q2</span> <span class="op">=</span> <span class="op">-</span><span class="num">0.579708229453273</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t292" href="#t292">292</a></span><span class="t">            <span class="nam">i_d</span> <span class="op">=</span> <span class="op">-</span><span class="num">0.9061043142342473</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t293" href="#t293">293</a></span><span class="t">            <span class="nam">i_q</span> <span class="op">=</span> <span class="op">-</span><span class="num">0.36006722326230495</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t294" href="#t294">294</a></span><span class="t">            <span class="nam">i_F</span> <span class="op">=</span> <span class="num">1.45613494788927</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t295" href="#t295">295</a></span><span class="t">            <span class="nam">i_D</span> <span class="op">=</span> <span class="num">0.0</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t296" href="#t296">296</a></span><span class="t">            <span class="nam">i_Q1</span> <span class="op">=</span> <span class="num">0.0</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t297" href="#t297">297</a></span><span class="t">            <span class="nam">i_Q2</span> <span class="op">=</span> <span class="num">0.0</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t298" href="#t298">298</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t299" href="#t299">299</a></span><span class="t">            <span class="nam">delta_r</span> <span class="op">=</span> <span class="num">39.1</span> <span class="op">*</span> <span class="nam">np</span><span class="op">.</span><span class="nam">pi</span> <span class="op">/</span> <span class="num">180</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t300" href="#t300">300</a></span><span class="t">            <span class="nam">omega_0</span> <span class="op">=</span> <span class="num">2</span> <span class="op">*</span> <span class="nam">np</span><span class="op">.</span><span class="nam">pi</span> <span class="op">*</span> <span class="num">60</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t301" href="#t301">301</a></span><span class="t">            <span class="nam">omega_b</span> <span class="op">=</span> <span class="num">2</span> <span class="op">*</span> <span class="nam">np</span><span class="op">.</span><span class="nam">pi</span> <span class="op">*</span> <span class="num">60</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t302" href="#t302">302</a></span><span class="t">            <span class="nam">omega_m</span> <span class="op">=</span> <span class="nam">omega_0</span> <span class="op">/</span> <span class="nam">omega_b</span>  <span class="com"># = omega_r since pf = 2 i.e. two pole machine</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t303" href="#t303">303</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t304" href="#t304">304</a></span><span class="t">            <span class="nam">me</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="op">:</span><span class="num">8</span><span class="op">]</span> <span class="op">=</span> <span class="op">(</span><span class="nam">psi_d</span><span class="op">,</span> <span class="nam">psi_q</span><span class="op">,</span> <span class="nam">psi_F</span><span class="op">,</span> <span class="nam">psi_D</span><span class="op">,</span> <span class="nam">psi_Q1</span><span class="op">,</span> <span class="nam">psi_Q2</span><span class="op">,</span> <span class="nam">delta_r</span><span class="op">,</span> <span class="nam">omega_m</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t305" href="#t305">305</a></span><span class="t">            <span class="nam">me</span><span class="op">.</span><span class="nam">alg</span><span class="op">[</span><span class="op">:</span><span class="num">6</span><span class="op">]</span> <span class="op">=</span> <span class="op">(</span><span class="nam">i_d</span><span class="op">,</span> <span class="nam">i_q</span><span class="op">,</span> <span class="nam">i_F</span><span class="op">,</span> <span class="nam">i_D</span><span class="op">,</span> <span class="nam">i_Q1</span><span class="op">,</span> <span class="nam">i_Q2</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t306" href="#t306">306</a></span><span class="t">        <span class="key">elif</span> <span class="nam">t</span> <span class="op">&lt;</span> <span class="nam">self</span><span class="op">.</span><span class="nam">t_end</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t307" href="#t307">307</a></span><span class="t">            <span class="nam">u_ref</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">u_ref</span><span class="op">(</span><span class="nam">t</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t308" href="#t308">308</a></span><span class="t">            <span class="nam">me</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="op">:</span><span class="num">8</span><span class="op">]</span> <span class="op">=</span> <span class="nam">u_ref</span><span class="op">[</span><span class="op">:</span><span class="num">8</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t309" href="#t309">309</a></span><span class="t">            <span class="nam">me</span><span class="op">.</span><span class="nam">alg</span><span class="op">[</span><span class="op">:</span><span class="num">6</span><span class="op">]</span> <span class="op">=</span> <span class="nam">u_ref</span><span class="op">[</span><span class="num">8</span><span class="op">:</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t310" href="#t310">310</a></span><span class="t">        <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t311" href="#t311">311</a></span><span class="t">            <span class="nam">self</span><span class="op">.</span><span class="nam">logger</span><span class="op">.</span><span class="nam">warning</span><span class="op">(</span><span class="str">"Requested time exceeds domain of the reference solution. Returning zero."</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t312" href="#t312">312</a></span><span class="t">            <span class="nam">me</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="op">:</span><span class="num">8</span><span class="op">]</span> <span class="op">=</span> <span class="op">(</span><span class="num">0</span><span class="op">,</span> <span class="num">0</span><span class="op">,</span> <span class="num">0</span><span class="op">,</span> <span class="num">0</span><span class="op">,</span> <span class="num">0</span><span class="op">,</span> <span class="num">0</span><span class="op">,</span> <span class="num">0</span><span class="op">,</span> <span class="num">0</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t313" href="#t313">313</a></span><span class="t">            <span class="nam">me</span><span class="op">.</span><span class="nam">alg</span><span class="op">[</span><span class="op">:</span><span class="num">6</span><span class="op">]</span> <span class="op">=</span> <span class="op">(</span><span class="num">0</span><span class="op">,</span> <span class="num">0</span><span class="op">,</span> <span class="num">0</span><span class="op">,</span> <span class="num">0</span><span class="op">,</span> <span class="num">0</span><span class="op">,</span> <span class="num">0</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t314" href="#t314">314</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t315" href="#t315">315</a></span><span class="t">        <span class="key">return</span> <span class="nam">me</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t8" href="#t8">8</a></span><span class="t"><span class="key">class</span> <span class="nam">SynchronousMachineInfiniteBus</span><span class="op">(</span><span class="nam">ProblemDAE</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t9" href="#t9">9</a></span><span class="t">    <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t10" href="#t10">10</a></span><span class="t"><span class="str">    Synchronous machine model from Kundur (equiv. circuits fig. 3.18 in [1]_) attached to infinite bus. The machine can be</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t11" href="#t11">11</a></span><span class="t"><span class="str">    represented as two different circuits at the direct-axis and the quadrature-axis. Detailed information can be found in</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t12" href="#t12">12</a></span><span class="t"><span class="str">    [1]_. The system of differential-algebraic equations (DAEs) consists of the equations for</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t13" href="#t13">13</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t14" href="#t14">14</a></span><span class="t"><span class="str">        - the stator voltage equations</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t15" href="#t15">15</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t16" href="#t16">16</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t17" href="#t17">17</a></span><span class="t"><span class="str">            \frac{d \Psi_d (t)}{dt} = \omega_b (v_d + R_a i_d (t) + \omega_r \Psi_q (t)),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t18" href="#t18">18</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t19" href="#t19">19</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t20" href="#t20">20</a></span><span class="t"><span class="str">            \frac{d \Psi_q (t)}{dt} = \omega_b (v_q + R_a i_q (t) - \omega_r \Psi_d (t)),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t21" href="#t21">21</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t22" href="#t22">22</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t23" href="#t23">23</a></span><span class="t"><span class="str">            \frac{d \Psi_0 (t)}{dt} = \omega_b (v_0 + R_a i_0 (t)),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t24" href="#t24">24</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t25" href="#t25">25</a></span><span class="t"><span class="str">        - the rotor voltage equations</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t26" href="#t26">26</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t27" href="#t27">27</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t28" href="#t28">28</a></span><span class="t"><span class="str">            \frac{d \Psi_F (t)}{dt} = \omega_b (v_F - R_F i_F (t)),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t29" href="#t29">29</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t30" href="#t30">30</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t31" href="#t31">31</a></span><span class="t"><span class="str">            \frac{d \Psi_D (t)}{dt} = -\omega_b (R_D i_D (t)),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t32" href="#t32">32</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t33" href="#t33">33</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t34" href="#t34">34</a></span><span class="t"><span class="str">            \frac{d \Psi_{Q1} (t)}{dt} = -\omega_b (R_{Q1} i_{Q1} (t)),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t35" href="#t35">35</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t36" href="#t36">36</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t37" href="#t37">37</a></span><span class="t"><span class="str">            \frac{d \Psi_{Q2} (t)}{dt} = -\omega_b (R_{Q2} i_{Q2} (t)),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t38" href="#t38">38</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t39" href="#t39">39</a></span><span class="t"><span class="str">        - the stator flux linkage equations</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t40" href="#t40">40</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t41" href="#t41">41</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t42" href="#t42">42</a></span><span class="t"><span class="str">            \Psi_d (t) = L_d i_d (t)  + L_{md} i_F (t) + L_{md} i_D (t),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t43" href="#t43">43</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t44" href="#t44">44</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t45" href="#t45">45</a></span><span class="t"><span class="str">            \Psi_q (t) = L_q i_q (t) + L_{mq} i_{Q1} (t) + L_{mq} i_{Q2} (t),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t46" href="#t46">46</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t47" href="#t47">47</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t48" href="#t48">48</a></span><span class="t"><span class="str">            \Psi_0 (t) = L_0 i_0 (t)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t49" href="#t49">49</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t50" href="#t50">50</a></span><span class="t"><span class="str">        - the rotor flux linkage equations</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t51" href="#t51">51</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t52" href="#t52">52</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t53" href="#t53">53</a></span><span class="t"><span class="str">            \Psi_F = L_F i_F (t) + L_D i_D + L_{md} i_d (t),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t54" href="#t54">54</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t55" href="#t55">55</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t56" href="#t56">56</a></span><span class="t"><span class="str">            \Psi_D = L_F i_F (t) + L_D i_D + L_{md} i_d (t),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t57" href="#t57">57</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t58" href="#t58">58</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t59" href="#t59">59</a></span><span class="t"><span class="str">            \Psi_{Q1} = L_{Q1} i_{Q1} (t) + L_{mq} i_{Q2} + L_{mq} i_q (t),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t60" href="#t60">60</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t61" href="#t61">61</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t62" href="#t62">62</a></span><span class="t"><span class="str">            \Psi_{Q2} = L_{mq} i_{Q1} (t) + L_{Q2} i_{Q2} + L_{mq} i_q (t),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t63" href="#t63">63</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t64" href="#t64">64</a></span><span class="t"><span class="str">        - the swing equations</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t65" href="#t65">65</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t66" href="#t66">66</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t67" href="#t67">67</a></span><span class="t"><span class="str">            \frac{d \delta (t)}{dt} = \omega_b (\omega_r (t) - 1),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t68" href="#t68">68</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t69" href="#t69">69</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t70" href="#t70">70</a></span><span class="t"><span class="str">            \frac{d \omega_r (t)}{dt} = \frac{1}{2 H}(T_m - T_e - K_D \omega_b (\omega_r (t) - 1)).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t71" href="#t71">71</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t72" href="#t72">72</a></span><span class="t"><span class="str">    The voltages :math:`v_d`, :math:`v_q` can be updated via the following procedure. The stator's currents are mapped</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t73" href="#t73">73</a></span><span class="t"><span class="str">    to the comlex-valued external reference frame current :math:`I` with</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t74" href="#t74">74</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t75" href="#t75">75</a></span><span class="t"><span class="str">    .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t76" href="#t76">76</a></span><span class="t"><span class="str">        \Re(I) = i_d (t) \sin(\delta (t)) + i_q (t) \cos(\delta (t)),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t77" href="#t77">77</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t78" href="#t78">78</a></span><span class="t"><span class="str">    .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t79" href="#t79">79</a></span><span class="t"><span class="str">        \Im(I) = -i_d (t) \cos(\delta (t)) + i_q (t) \sin(\delta (t)).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t80" href="#t80">80</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t81" href="#t81">81</a></span><span class="t"><span class="str">    The voltage V across the stator terminals can then be computed as complex-value via</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t82" href="#t82">82</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t83" href="#t83">83</a></span><span class="t"><span class="str">    .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t84" href="#t84">84</a></span><span class="t"><span class="str">        V_{comp} = E_B + Z_{line} (\Re(I) + i \Im(I))</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t85" href="#t85">85</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t86" href="#t86">86</a></span><span class="t"><span class="str">    with impedance :math:`Z_{line}\in\mathbb{C}`. Then, :math:`v_d`, :math:`v_q` can be computed via the network equations</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t87" href="#t87">87</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t88" href="#t88">88</a></span><span class="t"><span class="str">    .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t89" href="#t89">89</a></span><span class="t"><span class="str">        v_d = \Re(V_{comp}) \sin(\delta (t)) - \Im(V_{comp}) \cos(\delta (t)),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t90" href="#t90">90</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t91" href="#t91">91</a></span><span class="t"><span class="str">    .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t92" href="#t92">92</a></span><span class="t"><span class="str">       v_q = \Re(V_{comp}) \cos(\delta (t)) + \Im(V_{comp}) \sin(\delta (t)),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t93" href="#t93">93</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t94" href="#t94">94</a></span><span class="t"><span class="str">    which describes the connection between the machine and the infinite bus.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t95" href="#t95">95</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t96" href="#t96">96</a></span><span class="t"><span class="str">    Parameters</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t97" href="#t97">97</a></span><span class="t"><span class="str">    ----------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t98" href="#t98">98</a></span><span class="t"><span class="str">    nvars : int</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t99" href="#t99">99</a></span><span class="t"><span class="str">        Number of unknowns of the system of DAEs.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t100" href="#t100">100</a></span><span class="t"><span class="str">    newton_tol : float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t101" href="#t101">101</a></span><span class="t"><span class="str">        Tolerance for Newton solver.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t102" href="#t102">102</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t103" href="#t103">103</a></span><span class="t"><span class="str">    Attributes</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t104" href="#t104">104</a></span><span class="t"><span class="str">    ----------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t105" href="#t105">105</a></span><span class="t"><span class="str">    L_d: float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t106" href="#t106">106</a></span><span class="t"><span class="str">        Inductance of inductor :math:'L_d', see [1]_.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t107" href="#t107">107</a></span><span class="t"><span class="str">    L_q: float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t108" href="#t108">108</a></span><span class="t"><span class="str">        Inductance of inductor :math:'L_q', see [1]_.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t109" href="#t109">109</a></span><span class="t"><span class="str">    L_F: float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t110" href="#t110">110</a></span><span class="t"><span class="str">        Inductance of inductor :math:'L_F', see [1]_.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t111" href="#t111">111</a></span><span class="t"><span class="str">    L_D: float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t112" href="#t112">112</a></span><span class="t"><span class="str">        Inductance of inductor :math:'L_D', see [1]_.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t113" href="#t113">113</a></span><span class="t"><span class="str">    L_Q1: float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t114" href="#t114">114</a></span><span class="t"><span class="str">        Inductance of inductor :math:'L_{Q1}', see [1]_.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t115" href="#t115">115</a></span><span class="t"><span class="str">    L_Q2: float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t116" href="#t116">116</a></span><span class="t"><span class="str">        Inductance of inductor :math:'L_{Q2}', see [1]_.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t117" href="#t117">117</a></span><span class="t"><span class="str">    L_md: float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t118" href="#t118">118</a></span><span class="t"><span class="str">        Inductance of inductor :math:'L_{md}', see [1]_.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t119" href="#t119">119</a></span><span class="t"><span class="str">    L_mq: float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t120" href="#t120">120</a></span><span class="t"><span class="str">        Inductance of inductor :math:'L_{mq}', see [1]_.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t121" href="#t121">121</a></span><span class="t"><span class="str">    R_s: float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t122" href="#t122">122</a></span><span class="t"><span class="str">        Resistance of resistor :math:`R_s`, see [1]_.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t123" href="#t123">123</a></span><span class="t"><span class="str">    R_F: float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t124" href="#t124">124</a></span><span class="t"><span class="str">        Resistance of resistor :math:`R_F`, see [1]_.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t125" href="#t125">125</a></span><span class="t"><span class="str">    R_D: float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t126" href="#t126">126</a></span><span class="t"><span class="str">        Resistance of resistor :math:`R_D`, see [1]_.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t127" href="#t127">127</a></span><span class="t"><span class="str">    R_Q1: float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t128" href="#t128">128</a></span><span class="t"><span class="str">        Resistance of resistor :math:`R_{Q1}`, see [1]_.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t129" href="#t129">129</a></span><span class="t"><span class="str">    R_Q2: float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t130" href="#t130">130</a></span><span class="t"><span class="str">        Resistance of resistor :math:`R_{Q2}`, see [1]_.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t131" href="#t131">131</a></span><span class="t"><span class="str">    omega_b: float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t132" href="#t132">132</a></span><span class="t"><span class="str">        Base frequency of the rotor in mechanical :math:`rad/s`.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t133" href="#t133">133</a></span><span class="t"><span class="str">    H_: float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t134" href="#t134">134</a></span><span class="t"><span class="str">        Defines the per unit inertia constant.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t135" href="#t135">135</a></span><span class="t"><span class="str">    K_D: float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t136" href="#t136">136</a></span><span class="t"><span class="str">        Factor that accounts for damping losses.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t137" href="#t137">137</a></span><span class="t"><span class="str">    Z_line: complex</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t138" href="#t138">138</a></span><span class="t"><span class="str">        Impedance of the transmission line that connects the infinite bus to the generator.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t139" href="#t139">139</a></span><span class="t"><span class="str">    E_B: float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t140" href="#t140">140</a></span><span class="t"><span class="str">        Voltage of infinite bus.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t141" href="#t141">141</a></span><span class="t"><span class="str">    v_F: float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t142" href="#t142">142</a></span><span class="t"><span class="str">        Voltage at the field winding.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t143" href="#t143">143</a></span><span class="t"><span class="str">    T_m: float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t144" href="#t144">144</a></span><span class="t"><span class="str">        Defines the mechanical torque applied to the rotor shaft.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t145" href="#t145">145</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t146" href="#t146">146</a></span><span class="t"><span class="str">    References</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t147" href="#t147">147</a></span><span class="t"><span class="str">    ----------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t148" href="#t148">148</a></span><span class="t"><span class="str">    .. [1] P. Kundur, N. J. Balu, M. G. Lauby. Power system stability and control. The EPRI power system series (1994).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t149" href="#t149">149</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t150" href="#t150">150</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t151" href="#t151">151</a></span><span class="t">    <span class="key">def</span> <span class="nam">__init__</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">newton_tol</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t152" href="#t152">152</a></span><span class="t">        <span class="nam">super</span><span class="op">(</span><span class="op">)</span><span class="op">.</span><span class="nam">__init__</span><span class="op">(</span><span class="nam">nvars</span><span class="op">=</span><span class="num">14</span><span class="op">,</span> <span class="nam">newton_tol</span><span class="op">=</span><span class="nam">newton_tol</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t153" href="#t153">153</a></span><span class="t">        <span class="com"># load reference solution</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t154" href="#t154">154</a></span><span class="t">        <span class="com"># data file must be generated and stored under misc/data and self.t_end = t[-1]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t155" href="#t155">155</a></span><span class="t">        <span class="com"># data = np.load(r'pySDC/projects/DAE/misc/data/synch_gen.npy')</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t156" href="#t156">156</a></span><span class="t">        <span class="com"># x = data[:, 0]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t157" href="#t157">157</a></span><span class="t">        <span class="com"># y = data[:, 1:]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t158" href="#t158">158</a></span><span class="t">        <span class="com"># self.u_ref = interp1d(x, y, kind='cubic', axis=0, fill_value='extrapolate')</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t159" href="#t159">159</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">t_end</span> <span class="op">=</span> <span class="num">0.0</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t160" href="#t160">160</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t161" href="#t161">161</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">L_d</span> <span class="op">=</span> <span class="num">1.8099</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t162" href="#t162">162</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">L_q</span> <span class="op">=</span> <span class="num">1.76</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t163" href="#t163">163</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">L_F</span> <span class="op">=</span> <span class="num">1.8247</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t164" href="#t164">164</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">L_D</span> <span class="op">=</span> <span class="num">1.8312</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t165" href="#t165">165</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">L_Q1</span> <span class="op">=</span> <span class="num">2.3352</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t166" href="#t166">166</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">L_Q2</span> <span class="op">=</span> <span class="num">1.735</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t167" href="#t167">167</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">L_md</span> <span class="op">=</span> <span class="num">1.6599</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t168" href="#t168">168</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">L_mq</span> <span class="op">=</span> <span class="num">1.61</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t169" href="#t169">169</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">R_s</span> <span class="op">=</span> <span class="num">0.003</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t170" href="#t170">170</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">R_F</span> <span class="op">=</span> <span class="num">0.0006</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t171" href="#t171">171</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">R_D</span> <span class="op">=</span> <span class="num">0.0284</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t172" href="#t172">172</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">R_Q1</span> <span class="op">=</span> <span class="num">0.0062</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t173" href="#t173">173</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">R_Q2</span> <span class="op">=</span> <span class="num">0.0237</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t174" href="#t174">174</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">omega_b</span> <span class="op">=</span> <span class="num">376.9911184307752</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t175" href="#t175">175</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">H_</span> <span class="op">=</span> <span class="num">3.525</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t176" href="#t176">176</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">K_D</span> <span class="op">=</span> <span class="num">0.0</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t177" href="#t177">177</a></span><span class="t">        <span class="com"># Line impedance</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t178" href="#t178">178</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">Z_line</span> <span class="op">=</span> <span class="op">-</span><span class="num">0.2688022164909709</span> <span class="op">-</span> <span class="num">0.15007173591230372j</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t179" href="#t179">179</a></span><span class="t">        <span class="com"># Infinite bus voltage</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t180" href="#t180">180</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">E_B</span> <span class="op">=</span> <span class="num">0.7</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t181" href="#t181">181</a></span><span class="t">        <span class="com"># Rotor (field) operating voltages</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t182" href="#t182">182</a></span><span class="t">        <span class="com"># These are modelled as constants. Intuition: permanent magnet as rotor</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t183" href="#t183">183</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">v_F</span> <span class="op">=</span> <span class="num">8.736809687330562e-4</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t184" href="#t184">184</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">T_m</span> <span class="op">=</span> <span class="num">0.854</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t185" href="#t185">185</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t186" href="#t186">186</a></span><span class="t">    <span class="key">def</span> <span class="nam">eval_f</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">u</span><span class="op">,</span> <span class="nam">du</span><span class="op">,</span> <span class="nam">t</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t187" href="#t187">187</a></span><span class="t">        <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t188" href="#t188">188</a></span><span class="t"><span class="str">        Routine to evaluate the implicit representation of the problem, i.e., :math:`F(u, u', t)`.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t189" href="#t189">189</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t190" href="#t190">190</a></span><span class="t"><span class="str">        Parameters</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t191" href="#t191">191</a></span><span class="t"><span class="str">        ----------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t192" href="#t192">192</a></span><span class="t"><span class="str">        u : dtype_u</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t193" href="#t193">193</a></span><span class="t"><span class="str">            Current values of the numerical solution at time t.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t194" href="#t194">194</a></span><span class="t"><span class="str">        du : dtype_u</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t195" href="#t195">195</a></span><span class="t"><span class="str">            Current values of the derivative of the numerical solution at time t.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t196" href="#t196">196</a></span><span class="t"><span class="str">        t : float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t197" href="#t197">197</a></span><span class="t"><span class="str">            Current time of the numerical solution.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t198" href="#t198">198</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t199" href="#t199">199</a></span><span class="t"><span class="str">        Returns</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t200" href="#t200">200</a></span><span class="t"><span class="str">        -------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t201" href="#t201">201</a></span><span class="t"><span class="str">        f : dtype_f</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t202" href="#t202">202</a></span><span class="t"><span class="str">            Current value of the right-hand side of f (which includes 14 components).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t203" href="#t203">203</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t204" href="#t204">204</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t205" href="#t205">205</a></span><span class="t">        <span class="com"># simulate torque change at t = 0.05</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t206" href="#t206">206</a></span><span class="t">        <span class="key">if</span> <span class="nam">t</span> <span class="op">>=</span> <span class="num">0.05</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t207" href="#t207">207</a></span><span class="t">            <span class="nam">self</span><span class="op">.</span><span class="nam">T_m</span> <span class="op">=</span> <span class="num">0.354</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t208" href="#t208">208</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t209" href="#t209">209</a></span><span class="t">        <span class="nam">f</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">dtype_f</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">init</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t210" href="#t210">210</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t211" href="#t211">211</a></span><span class="t">        <span class="com"># u = [psi_d, psi_q, psi_F, psi_D, psi_Q1, psi_Q2,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t212" href="#t212">212</a></span><span class="t">        <span class="com">#       i_d, i_q, i_F, i_D, i_Q1, i_Q2</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t213" href="#t213">213</a></span><span class="t">        <span class="com">#       omega_m,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t214" href="#t214">214</a></span><span class="t">        <span class="com">#       v_d, v_q,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t215" href="#t215">215</a></span><span class="t">        <span class="com">#       iz_d, iz_q, il_d, il_q, vl_d, vl_q]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t216" href="#t216">216</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t217" href="#t217">217</a></span><span class="t">        <span class="com"># extract variables for readability</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t218" href="#t218">218</a></span><span class="t">        <span class="com"># algebraic components</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t219" href="#t219">219</a></span><span class="t">        <span class="nam">psi_d</span><span class="op">,</span> <span class="nam">psi_q</span><span class="op">,</span> <span class="nam">psi_F</span><span class="op">,</span> <span class="nam">psi_D</span><span class="op">,</span> <span class="nam">psi_Q1</span><span class="op">,</span> <span class="nam">psi_Q2</span> <span class="op">=</span> <span class="nam">u</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">1</span><span class="op">]</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">2</span><span class="op">]</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">3</span><span class="op">]</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">4</span><span class="op">]</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">5</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t220" href="#t220">220</a></span><span class="t">        <span class="nam">delta_r</span><span class="op">,</span> <span class="nam">omega_m</span> <span class="op">=</span> <span class="nam">u</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">6</span><span class="op">]</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">7</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t221" href="#t221">221</a></span><span class="t">        <span class="nam">i_d</span><span class="op">,</span> <span class="nam">i_q</span><span class="op">,</span> <span class="nam">i_F</span><span class="op">,</span> <span class="nam">i_D</span><span class="op">,</span> <span class="nam">i_Q1</span><span class="op">,</span> <span class="nam">i_Q2</span> <span class="op">=</span> <span class="nam">u</span><span class="op">.</span><span class="nam">alg</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">alg</span><span class="op">[</span><span class="num">1</span><span class="op">]</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">alg</span><span class="op">[</span><span class="num">2</span><span class="op">]</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">alg</span><span class="op">[</span><span class="num">3</span><span class="op">]</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">alg</span><span class="op">[</span><span class="num">4</span><span class="op">]</span><span class="op">,</span> <span class="nam">u</span><span class="op">.</span><span class="nam">alg</span><span class="op">[</span><span class="num">5</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t222" href="#t222">222</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t223" href="#t223">223</a></span><span class="t">        <span class="com"># differential components</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t224" href="#t224">224</a></span><span class="t">        <span class="com"># these result directly from the voltage equations, introduced e.g. pg. 145 Krause</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t225" href="#t225">225</a></span><span class="t">        <span class="nam">dpsi_d</span><span class="op">,</span> <span class="nam">dpsi_q</span><span class="op">,</span> <span class="nam">dpsi_F</span><span class="op">,</span> <span class="nam">dpsi_D</span><span class="op">,</span> <span class="nam">dpsi_Q1</span><span class="op">,</span> <span class="nam">dpsi_Q2</span> <span class="op">=</span> <span class="op">(</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t226" href="#t226">226</a></span><span class="t">            <span class="nam">du</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t227" href="#t227">227</a></span><span class="t">            <span class="nam">du</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">1</span><span class="op">]</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t228" href="#t228">228</a></span><span class="t">            <span class="nam">du</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">2</span><span class="op">]</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t229" href="#t229">229</a></span><span class="t">            <span class="nam">du</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">3</span><span class="op">]</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t230" href="#t230">230</a></span><span class="t">            <span class="nam">du</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">4</span><span class="op">]</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t231" href="#t231">231</a></span><span class="t">            <span class="nam">du</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">5</span><span class="op">]</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t232" href="#t232">232</a></span><span class="t">        <span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t233" href="#t233">233</a></span><span class="t">        <span class="nam">ddelta_r</span><span class="op">,</span> <span class="nam">domega_m</span> <span class="op">=</span> <span class="nam">du</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">6</span><span class="op">]</span><span class="op">,</span> <span class="nam">du</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="num">7</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t234" href="#t234">234</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t235" href="#t235">235</a></span><span class="t">        <span class="com"># Network current</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t236" href="#t236">236</a></span><span class="t">        <span class="nam">I_Re</span> <span class="op">=</span> <span class="nam">i_d</span> <span class="op">*</span> <span class="nam">np</span><span class="op">.</span><span class="nam">sin</span><span class="op">(</span><span class="nam">delta_r</span><span class="op">)</span> <span class="op">+</span> <span class="nam">i_q</span> <span class="op">*</span> <span class="nam">np</span><span class="op">.</span><span class="nam">cos</span><span class="op">(</span><span class="nam">delta_r</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t237" href="#t237">237</a></span><span class="t">        <span class="nam">I_Im</span> <span class="op">=</span> <span class="op">-</span><span class="nam">i_d</span> <span class="op">*</span> <span class="nam">np</span><span class="op">.</span><span class="nam">cos</span><span class="op">(</span><span class="nam">delta_r</span><span class="op">)</span> <span class="op">+</span> <span class="nam">i_q</span> <span class="op">*</span> <span class="nam">np</span><span class="op">.</span><span class="nam">sin</span><span class="op">(</span><span class="nam">delta_r</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t238" href="#t238">238</a></span><span class="t">        <span class="com"># Machine terminal voltages in network coordinates</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t239" href="#t239">239</a></span><span class="t">        <span class="com"># Need to transform like this to subtract infinite bus voltage</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t240" href="#t240">240</a></span><span class="t">        <span class="nam">V_comp</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">E_B</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">Z_line</span> <span class="op">*</span> <span class="op">(</span><span class="op">-</span><span class="num">1</span><span class="op">)</span> <span class="op">*</span> <span class="op">(</span><span class="nam">I_Re</span> <span class="op">+</span> <span class="num">1j</span> <span class="op">*</span> <span class="nam">I_Im</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t241" href="#t241">241</a></span><span class="t">        <span class="com"># Terminal voltages in dq0 coordinates</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t242" href="#t242">242</a></span><span class="t">        <span class="nam">v_d</span> <span class="op">=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">real</span><span class="op">(</span><span class="nam">V_comp</span><span class="op">)</span> <span class="op">*</span> <span class="nam">np</span><span class="op">.</span><span class="nam">sin</span><span class="op">(</span><span class="nam">delta_r</span><span class="op">)</span> <span class="op">-</span> <span class="nam">np</span><span class="op">.</span><span class="nam">imag</span><span class="op">(</span><span class="nam">V_comp</span><span class="op">)</span> <span class="op">*</span> <span class="nam">np</span><span class="op">.</span><span class="nam">cos</span><span class="op">(</span><span class="nam">delta_r</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t243" href="#t243">243</a></span><span class="t">        <span class="nam">v_q</span> <span class="op">=</span> <span class="nam">np</span><span class="op">.</span><span class="nam">real</span><span class="op">(</span><span class="nam">V_comp</span><span class="op">)</span> <span class="op">*</span> <span class="nam">np</span><span class="op">.</span><span class="nam">cos</span><span class="op">(</span><span class="nam">delta_r</span><span class="op">)</span> <span class="op">+</span> <span class="nam">np</span><span class="op">.</span><span class="nam">imag</span><span class="op">(</span><span class="nam">V_comp</span><span class="op">)</span> <span class="op">*</span> <span class="nam">np</span><span class="op">.</span><span class="nam">sin</span><span class="op">(</span><span class="nam">delta_r</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t244" href="#t244">244</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t245" href="#t245">245</a></span><span class="t">        <span class="nam">f</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="op">:</span><span class="num">8</span><span class="op">]</span> <span class="op">=</span> <span class="op">(</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t246" href="#t246">246</a></span><span class="t">            <span class="op">-</span><span class="nam">dpsi_d</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">omega_b</span> <span class="op">*</span> <span class="op">(</span><span class="nam">v_d</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">R_s</span> <span class="op">*</span> <span class="nam">i_d</span> <span class="op">+</span> <span class="nam">omega_m</span> <span class="op">*</span> <span class="nam">psi_q</span><span class="op">)</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t247" href="#t247">247</a></span><span class="t">            <span class="op">-</span><span class="nam">dpsi_q</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">omega_b</span> <span class="op">*</span> <span class="op">(</span><span class="nam">v_q</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">R_s</span> <span class="op">*</span> <span class="nam">i_q</span> <span class="op">-</span> <span class="nam">omega_m</span> <span class="op">*</span> <span class="nam">psi_d</span><span class="op">)</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t248" href="#t248">248</a></span><span class="t">            <span class="op">-</span><span class="nam">dpsi_F</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">omega_b</span> <span class="op">*</span> <span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">v_F</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">R_F</span> <span class="op">*</span> <span class="nam">i_F</span><span class="op">)</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t249" href="#t249">249</a></span><span class="t">            <span class="op">-</span><span class="nam">dpsi_D</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">omega_b</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">R_D</span> <span class="op">*</span> <span class="nam">i_D</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t250" href="#t250">250</a></span><span class="t">            <span class="op">-</span><span class="nam">dpsi_Q1</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">omega_b</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">R_Q1</span> <span class="op">*</span> <span class="nam">i_Q1</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t251" href="#t251">251</a></span><span class="t">            <span class="op">-</span><span class="nam">dpsi_Q2</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">omega_b</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">R_Q2</span> <span class="op">*</span> <span class="nam">i_Q2</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t252" href="#t252">252</a></span><span class="t">            <span class="op">-</span><span class="nam">ddelta_r</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">omega_b</span> <span class="op">*</span> <span class="op">(</span><span class="nam">omega_m</span> <span class="op">-</span> <span class="num">1</span><span class="op">)</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t253" href="#t253">253</a></span><span class="t">            <span class="op">-</span><span class="nam">domega_m</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t254" href="#t254">254</a></span><span class="t">            <span class="op">+</span> <span class="num">1</span> <span class="op">/</span> <span class="op">(</span><span class="num">2</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">H_</span><span class="op">)</span> <span class="op">*</span> <span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">T_m</span> <span class="op">-</span> <span class="op">(</span><span class="nam">psi_q</span> <span class="op">*</span> <span class="nam">i_d</span> <span class="op">-</span> <span class="nam">psi_d</span> <span class="op">*</span> <span class="nam">i_q</span><span class="op">)</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">K_D</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">omega_b</span> <span class="op">*</span> <span class="op">(</span><span class="nam">omega_m</span> <span class="op">-</span> <span class="num">1</span><span class="op">)</span><span class="op">)</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t255" href="#t255">255</a></span><span class="t">        <span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t256" href="#t256">256</a></span><span class="t">        <span class="nam">f</span><span class="op">.</span><span class="nam">alg</span><span class="op">[</span><span class="op">:</span><span class="num">6</span><span class="op">]</span> <span class="op">=</span> <span class="op">(</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t257" href="#t257">257</a></span><span class="t">            <span class="op">-</span><span class="nam">psi_d</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_d</span> <span class="op">*</span> <span class="nam">i_d</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_md</span> <span class="op">*</span> <span class="nam">i_F</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_md</span> <span class="op">*</span> <span class="nam">i_D</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t258" href="#t258">258</a></span><span class="t">            <span class="op">-</span><span class="nam">psi_q</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_q</span> <span class="op">*</span> <span class="nam">i_q</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_mq</span> <span class="op">*</span> <span class="nam">i_Q1</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_mq</span> <span class="op">*</span> <span class="nam">i_Q2</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t259" href="#t259">259</a></span><span class="t">            <span class="op">-</span><span class="nam">psi_F</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_md</span> <span class="op">*</span> <span class="nam">i_d</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_F</span> <span class="op">*</span> <span class="nam">i_F</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_md</span> <span class="op">*</span> <span class="nam">i_D</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t260" href="#t260">260</a></span><span class="t">            <span class="op">-</span><span class="nam">psi_D</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_md</span> <span class="op">*</span> <span class="nam">i_d</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_md</span> <span class="op">*</span> <span class="nam">i_F</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_D</span> <span class="op">*</span> <span class="nam">i_D</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t261" href="#t261">261</a></span><span class="t">            <span class="op">-</span><span class="nam">psi_Q1</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_mq</span> <span class="op">*</span> <span class="nam">i_q</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_Q1</span> <span class="op">*</span> <span class="nam">i_Q1</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_mq</span> <span class="op">*</span> <span class="nam">i_Q2</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t262" href="#t262">262</a></span><span class="t">            <span class="op">-</span><span class="nam">psi_Q2</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_mq</span> <span class="op">*</span> <span class="nam">i_q</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_mq</span> <span class="op">*</span> <span class="nam">i_Q1</span> <span class="op">+</span> <span class="nam">self</span><span class="op">.</span><span class="nam">L_Q2</span> <span class="op">*</span> <span class="nam">i_Q2</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t263" href="#t263">263</a></span><span class="t">        <span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t264" href="#t264">264</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">work_counters</span><span class="op">[</span><span class="str">'rhs'</span><span class="op">]</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t265" href="#t265">265</a></span><span class="t">        <span class="key">return</span> <span class="nam">f</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t266" href="#t266">266</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t267" href="#t267">267</a></span><span class="t">    <span class="key">def</span> <span class="nam">u_exact</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">t</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t268" href="#t268">268</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t269" href="#t269">269</a></span><span class="t"><span class="str">        Approximation of the exact solution generated by spline interpolation of an extremely accurate numerical reference solution.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t270" href="#t270">270</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t271" href="#t271">271</a></span><span class="t"><span class="str">        Parameters</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t272" href="#t272">272</a></span><span class="t"><span class="str">        ----------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t273" href="#t273">273</a></span><span class="t"><span class="str">        t : float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t274" href="#t274">274</a></span><span class="t"><span class="str">            The time of the reference solution.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t275" href="#t275">275</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t276" href="#t276">276</a></span><span class="t"><span class="str">        Returns</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t277" href="#t277">277</a></span><span class="t"><span class="str">        -------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t278" href="#t278">278</a></span><span class="t"><span class="str">        me : dtype_u</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t279" href="#t279">279</a></span><span class="t"><span class="str">            The reference solution as mesh object. It contains fixed initial conditions at initial time (which includes</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t280" href="#t280">280</a></span><span class="t"><span class="str">            14 components).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t281" href="#t281">281</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t282" href="#t282">282</a></span><span class="t">        <span class="nam">me</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">init</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t283" href="#t283">283</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t284" href="#t284">284</a></span><span class="t">        <span class="key">if</span> <span class="nam">t</span> <span class="op">==</span> <span class="num">0</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t285" href="#t285">285</a></span><span class="t">            <span class="nam">psi_d</span> <span class="op">=</span> <span class="num">0.7770802016688648</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t286" href="#t286">286</a></span><span class="t">            <span class="nam">psi_q</span> <span class="op">=</span> <span class="op">-</span><span class="num">0.6337183129426077</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t287" href="#t287">287</a></span><span class="t">            <span class="nam">psi_F</span> <span class="op">=</span> <span class="num">1.152966888216155</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t288" href="#t288">288</a></span><span class="t">            <span class="nam">psi_D</span> <span class="op">=</span> <span class="num">0.9129958488040036</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t289" href="#t289">289</a></span><span class="t">            <span class="nam">psi_Q1</span> <span class="op">=</span> <span class="op">-</span><span class="num">0.5797082294536264</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t290" href="#t290">290</a></span><span class="t">            <span class="nam">psi_Q2</span> <span class="op">=</span> <span class="op">-</span><span class="num">0.579708229453273</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t291" href="#t291">291</a></span><span class="t">            <span class="nam">i_d</span> <span class="op">=</span> <span class="op">-</span><span class="num">0.9061043142342473</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t292" href="#t292">292</a></span><span class="t">            <span class="nam">i_q</span> <span class="op">=</span> <span class="op">-</span><span class="num">0.36006722326230495</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t293" href="#t293">293</a></span><span class="t">            <span class="nam">i_F</span> <span class="op">=</span> <span class="num">1.45613494788927</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t294" href="#t294">294</a></span><span class="t">            <span class="nam">i_D</span> <span class="op">=</span> <span class="num">0.0</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t295" href="#t295">295</a></span><span class="t">            <span class="nam">i_Q1</span> <span class="op">=</span> <span class="num">0.0</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t296" href="#t296">296</a></span><span class="t">            <span class="nam">i_Q2</span> <span class="op">=</span> <span class="num">0.0</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t297" href="#t297">297</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t298" href="#t298">298</a></span><span class="t">            <span class="nam">delta_r</span> <span class="op">=</span> <span class="num">39.1</span> <span class="op">*</span> <span class="nam">np</span><span class="op">.</span><span class="nam">pi</span> <span class="op">/</span> <span class="num">180</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t299" href="#t299">299</a></span><span class="t">            <span class="nam">omega_0</span> <span class="op">=</span> <span class="num">2</span> <span class="op">*</span> <span class="nam">np</span><span class="op">.</span><span class="nam">pi</span> <span class="op">*</span> <span class="num">60</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t300" href="#t300">300</a></span><span class="t">            <span class="nam">omega_b</span> <span class="op">=</span> <span class="num">2</span> <span class="op">*</span> <span class="nam">np</span><span class="op">.</span><span class="nam">pi</span> <span class="op">*</span> <span class="num">60</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t301" href="#t301">301</a></span><span class="t">            <span class="nam">omega_m</span> <span class="op">=</span> <span class="nam">omega_0</span> <span class="op">/</span> <span class="nam">omega_b</span>  <span class="com"># = omega_r since pf = 2 i.e. two pole machine</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t302" href="#t302">302</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t303" href="#t303">303</a></span><span class="t">            <span class="nam">me</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="op">:</span><span class="num">8</span><span class="op">]</span> <span class="op">=</span> <span class="op">(</span><span class="nam">psi_d</span><span class="op">,</span> <span class="nam">psi_q</span><span class="op">,</span> <span class="nam">psi_F</span><span class="op">,</span> <span class="nam">psi_D</span><span class="op">,</span> <span class="nam">psi_Q1</span><span class="op">,</span> <span class="nam">psi_Q2</span><span class="op">,</span> <span class="nam">delta_r</span><span class="op">,</span> <span class="nam">omega_m</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t304" href="#t304">304</a></span><span class="t">            <span class="nam">me</span><span class="op">.</span><span class="nam">alg</span><span class="op">[</span><span class="op">:</span><span class="num">6</span><span class="op">]</span> <span class="op">=</span> <span class="op">(</span><span class="nam">i_d</span><span class="op">,</span> <span class="nam">i_q</span><span class="op">,</span> <span class="nam">i_F</span><span class="op">,</span> <span class="nam">i_D</span><span class="op">,</span> <span class="nam">i_Q1</span><span class="op">,</span> <span class="nam">i_Q2</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t305" href="#t305">305</a></span><span class="t">        <span class="key">elif</span> <span class="nam">t</span> <span class="op">&lt;</span> <span class="nam">self</span><span class="op">.</span><span class="nam">t_end</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t306" href="#t306">306</a></span><span class="t">            <span class="nam">u_ref</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">u_ref</span><span class="op">(</span><span class="nam">t</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t307" href="#t307">307</a></span><span class="t">            <span class="nam">me</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="op">:</span><span class="num">8</span><span class="op">]</span> <span class="op">=</span> <span class="nam">u_ref</span><span class="op">[</span><span class="op">:</span><span class="num">8</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t308" href="#t308">308</a></span><span class="t">            <span class="nam">me</span><span class="op">.</span><span class="nam">alg</span><span class="op">[</span><span class="op">:</span><span class="num">6</span><span class="op">]</span> <span class="op">=</span> <span class="nam">u_ref</span><span class="op">[</span><span class="num">8</span><span class="op">:</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t309" href="#t309">309</a></span><span class="t">        <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t310" href="#t310">310</a></span><span class="t">            <span class="nam">self</span><span class="op">.</span><span class="nam">logger</span><span class="op">.</span><span class="nam">warning</span><span class="op">(</span><span class="str">"Requested time exceeds domain of the reference solution. Returning zero."</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t311" href="#t311">311</a></span><span class="t">            <span class="nam">me</span><span class="op">.</span><span class="nam">diff</span><span class="op">[</span><span class="op">:</span><span class="num">8</span><span class="op">]</span> <span class="op">=</span> <span class="op">(</span><span class="num">0</span><span class="op">,</span> <span class="num">0</span><span class="op">,</span> <span class="num">0</span><span class="op">,</span> <span class="num">0</span><span class="op">,</span> <span class="num">0</span><span class="op">,</span> <span class="num">0</span><span class="op">,</span> <span class="num">0</span><span class="op">,</span> <span class="num">0</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t312" href="#t312">312</a></span><span class="t">            <span class="nam">me</span><span class="op">.</span><span class="nam">alg</span><span class="op">[</span><span class="op">:</span><span class="num">6</span><span class="op">]</span> <span class="op">=</span> <span class="op">(</span><span class="num">0</span><span class="op">,</span> <span class="num">0</span><span class="op">,</span> <span class="num">0</span><span class="op">,</span> <span class="num">0</span><span class="op">,</span> <span class="num">0</span><span class="op">,</span> <span class="num">0</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t313" href="#t313">313</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t314" href="#t314">314</a></span><span class="t">        <span class="key">return</span> <span class="nam">me</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t315" href="#t315">315</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t316" href="#t316">316</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t317" href="#t317">317</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t318" href="#t318">318</a></span><span class="t"><span class="com"># class synchronous_machine_pi_line(ptype_dae):</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t319" href="#t319">319</a></span><span class="t"><span class="com">#     """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t320" href="#t320">320</a></span><span class="t"><span class="com">#     Synchronous machine model from Kundur (equiv. circuits fig. 3.18)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t321" href="#t321">321</a></span><span class="t"><span class="com">#     attached to pi line with resistive load</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t322" href="#t322">322</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t323" href="#t323">323</a></span><span class="t"><span class="com">#     This model does not work yet but is included as a starting point for developing similar models and in the hope that somebody will figure out why it does not work</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t324" href="#t324">324</a></span><span class="t"><span class="com">#     """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t325" href="#t325">325</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t326" href="#t326">326</a></span><span class="t"><span class="com">#     def __init__(self, problem_params, dtype_u=mesh, dtype_f=mesh):</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t327" href="#t327">327</a></span><span class="t"><span class="com">#         super(synchronous_machine_pi_line, self).__init__(problem_params, dtype_u, dtype_f)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t328" href="#t328">328</a></span><span class="t"><span class="com">#         # load reference solution</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t329" href="#t329">329</a></span><span class="t"><span class="com">#         # data file must be generated and stored under misc/data and self.t_end = t[-1]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t330" href="#t330">330</a></span><span class="t"><span class="com">#         # data = np.load(r'pySDC/projects/DAE/misc/data/synch_gen.npy')</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t331" href="#t331">331</a></span><span class="t"><span class="com">#         # x = data[:, 0]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t332" href="#t332">332</a></span><span class="t"><span class="com">#         # y = data[:, 1:]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t333" href="#t333">333</a></span><span class="t"><span class="com">#         # self.u_ref = interp1d(x, y, kind='cubic', axis=0, fill_value='extrapolate')</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t334" href="#t334">334</a></span><span class="t"><span class="com">#         self.t_end = 0.0</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t335" href="#t335">335</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t336" href="#t336">336</a></span><span class="t"><span class="com">#         self.L_d = 1.8099</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t337" href="#t337">337</a></span><span class="t"><span class="com">#         self.L_q = 1.76</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t338" href="#t338">338</a></span><span class="t"><span class="com">#         self.L_F = 1.8247</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t339" href="#t339">339</a></span><span class="t"><span class="com">#         self.L_D = 1.8312</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t340" href="#t340">340</a></span><span class="t"><span class="com">#         self.L_Q1 = 2.3352</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t341" href="#t341">341</a></span><span class="t"><span class="com">#         self.L_Q2 = 1.735</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t342" href="#t342">342</a></span><span class="t"><span class="com">#         self.L_md = 1.6599</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t343" href="#t343">343</a></span><span class="t"><span class="com">#         self.L_mq = 1.61</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t344" href="#t344">344</a></span><span class="t"><span class="com">#         self.R_s = 0.003</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t345" href="#t345">345</a></span><span class="t"><span class="com">#         self.R_F = 0.0006</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t346" href="#t346">346</a></span><span class="t"><span class="com">#         self.R_D = 0.0284</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t347" href="#t347">347</a></span><span class="t"><span class="com">#         self.R_Q1 = 0.0062</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t348" href="#t348">348</a></span><span class="t"><span class="com">#         self.R_Q2 = 0.0237</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t349" href="#t349">349</a></span><span class="t"><span class="com">#         self.omega_b = 376.9911184307752</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t350" href="#t350">350</a></span><span class="t"><span class="com">#         self.H_ = 3.525</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t351" href="#t351">351</a></span><span class="t"><span class="com">#         self.K_D = 0.0</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t352" href="#t352">352</a></span><span class="t"><span class="com">#         # pi line</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t353" href="#t353">353</a></span><span class="t"><span class="com">#         self.C_pi = 0.000002</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t354" href="#t354">354</a></span><span class="t"><span class="com">#         self.R_pi = 0.02</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t355" href="#t355">355</a></span><span class="t"><span class="com">#         self.L_pi = 0.00003</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t356" href="#t356">356</a></span><span class="t"><span class="com">#         # load</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t357" href="#t357">357</a></span><span class="t"><span class="com">#         self.R_L = 0.75</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t358" href="#t358">358</a></span><span class="t"><span class="com">#         self.v_F = 8.736809687330562e-4</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t359" href="#t359">359</a></span><span class="t"><span class="com">#         self.v_D = 0</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t360" href="#t360">360</a></span><span class="t"><span class="com">#         self.v_Q1 = 0</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t361" href="#t361">361</a></span><span class="t"><span class="com">#         self.v_Q2 = 0</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t362" href="#t362">362</a></span><span class="t"><span class="com">#         self.T_m = 0.854</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t363" href="#t363">363</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t364" href="#t364">364</a></span><span class="t"><span class="com">#     def eval_f(self, u, du, t):</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t365" href="#t365">365</a></span><span class="t"><span class="com">#         """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t366" href="#t366">366</a></span><span class="t"><span class="com">#         Routine to evaluate the implicit representation of the problem i.e. F(u', u, t)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t367" href="#t367">367</a></span><span class="t"><span class="com">#         Args:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t368" href="#t368">368</a></span><span class="t"><span class="com">#             u (dtype_u): the current values. This parameter has been "hijacked" to contain [u', u] in this case to enable evaluation of the implicit representation</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t369" href="#t369">369</a></span><span class="t"><span class="com">#             t (float): current time</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t370" href="#t370">370</a></span><span class="t"><span class="com">#         Returns:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t371" href="#t371">371</a></span><span class="t"><span class="com">#             Current value of F(), 21 components</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t372" href="#t372">372</a></span><span class="t"><span class="com">#         """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t373" href="#t373">373</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t374" href="#t374">374</a></span><span class="t"><span class="com">#         # simulate torque change at t = 0.05</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t375" href="#t375">375</a></span><span class="t"><span class="com">#         if t >= 0.05:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t376" href="#t376">376</a></span><span class="t"><span class="com">#             self.T_m = 0.354</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t377" href="#t377">377</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t378" href="#t378">378</a></span><span class="t"><span class="com">#         f = self.dtype_f(self.init)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t379" href="#t379">379</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t380" href="#t380">380</a></span><span class="t"><span class="com">#         # u = [psi_d, psi_q, psi_F, psi_D, psi_Q1, psi_Q2,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t381" href="#t381">381</a></span><span class="t"><span class="com">#         #       i_d, i_q, i_F, i_D, i_Q1, i_Q2</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t382" href="#t382">382</a></span><span class="t"><span class="com">#         #       omega_m,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t383" href="#t383">383</a></span><span class="t"><span class="com">#         #       v_d, v_q,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t384" href="#t384">384</a></span><span class="t"><span class="com">#         #       iz_d, iz_q, il_d, il_q, vl_d, vl_q]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t385" href="#t385">385</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t386" href="#t386">386</a></span><span class="t"><span class="com">#         # extract variables for readability</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t387" href="#t387">387</a></span><span class="t"><span class="com">#         # algebraic components</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t388" href="#t388">388</a></span><span class="t"><span class="com">#         psi_d, psi_q, psi_F, psi_D, psi_Q1, psi_Q2 = u[0], u[1], u[2], u[3], u[4], u[5]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t389" href="#t389">389</a></span><span class="t"><span class="com">#         i_d, i_q, i_F, i_D, i_Q1, i_Q2 = u[6], u[7], u[8], u[9], u[10], u[11]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t390" href="#t390">390</a></span><span class="t"><span class="com">#         # delta_r = u[12]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t391" href="#t391">391</a></span><span class="t"><span class="com">#         omega_m = u[12]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t392" href="#t392">392</a></span><span class="t"><span class="com">#         v_d, v_q = u[13], u[14]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t393" href="#t393">393</a></span><span class="t"><span class="com">#         iz_d, iz_q, il_d, il_q, vl_d, vl_q = u[15], u[16], u[17], u[18], u[19], u[20]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t394" href="#t394">394</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t395" href="#t395">395</a></span><span class="t"><span class="com">#         # differential components</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t396" href="#t396">396</a></span><span class="t"><span class="com">#         # these result directly from the voltage equations, introduced e.g. pg. 145 Krause</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t397" href="#t397">397</a></span><span class="t"><span class="com">#         dpsi_d, dpsi_q, dpsi_F, dpsi_D, dpsi_Q1, dpsi_Q2 = du[0], du[1], du[2], du[3], du[4], du[5]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t398" href="#t398">398</a></span><span class="t"><span class="com">#         # ddelta_r = du[12]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t399" href="#t399">399</a></span><span class="t"><span class="com">#         domega_m = du[12]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t400" href="#t400">400</a></span><span class="t"><span class="com">#         dv_d, dv_q = du[13], du[14]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t401" href="#t401">401</a></span><span class="t"><span class="com">#         diz_d, diz_q, dvl_d, dvl_q = du[15], du[16],du[19], du[20]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t402" href="#t402">402</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t403" href="#t403">403</a></span><span class="t"><span class="com">#         # algebraic variables are i_d, i_q, i_F, i_D, i_Q1, i_Q2, il_d, il_q</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t404" href="#t404">404</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t405" href="#t405">405</a></span><span class="t"><span class="com">#         f[:] = (</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t406" href="#t406">406</a></span><span class="t"><span class="com">#             # differential generator</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t407" href="#t407">407</a></span><span class="t"><span class="com">#             dpsi_d + self.omega_b * (v_d - self.R_s * i_d + omega_m * psi_q),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t408" href="#t408">408</a></span><span class="t"><span class="com">#             dpsi_q + self.omega_b * (v_q - self.R_s * i_q - omega_m * psi_d),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t409" href="#t409">409</a></span><span class="t"><span class="com">#             dpsi_F + self.omega_b * (self.v_F - self.R_F * i_F),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t410" href="#t410">410</a></span><span class="t"><span class="com">#             dpsi_D + self.omega_b * (self.v_D - self.R_D * i_D),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t411" href="#t411">411</a></span><span class="t"><span class="com">#             dpsi_Q1 + self.omega_b * (self.v_Q1 - self.R_Q1 * i_Q1),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t412" href="#t412">412</a></span><span class="t"><span class="com">#             dpsi_Q2 + self.omega_b * (self.v_Q2 - self.R_Q2 * i_Q2),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t413" href="#t413">413</a></span><span class="t"><span class="com">#             -domega_m + 1 / (2 * self.H_) * (self.T_m - (psi_q * i_d - psi_d * i_q) - self.K_D * self.omega_b * (omega_m-1)),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t414" href="#t414">414</a></span><span class="t"><span class="com">#             # differential pi line</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t415" href="#t415">415</a></span><span class="t"><span class="com">#             -dv_d + omega_m * v_q + 2/self.C_pi * (i_d - iz_d),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t416" href="#t416">416</a></span><span class="t"><span class="com">#             -dv_q - omega_m * v_d + 2/self.C_pi * (i_q - iz_q),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t417" href="#t417">417</a></span><span class="t"><span class="com">#             -dvl_d + omega_m * vl_q + 2/self.C_pi * (iz_d - il_d),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t418" href="#t418">418</a></span><span class="t"><span class="com">#             -dvl_q - omega_m * vl_d + 2/self.C_pi * (iz_q - il_q),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t419" href="#t419">419</a></span><span class="t"><span class="com">#             -diz_d - self.R_pi/self.L_pi * iz_d + omega_m * iz_q + (v_d - vl_d) / self.L_pi,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t420" href="#t420">420</a></span><span class="t"><span class="com">#             -diz_q - self.R_pi/self.L_pi * iz_q - omega_m * iz_d + (v_q - vl_q) / self.L_pi,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t421" href="#t421">421</a></span><span class="t"><span class="com">#             # algebraic generator</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t422" href="#t422">422</a></span><span class="t"><span class="com">#             psi_d + self.L_d * i_d + self.L_md * i_F + self.L_md * i_D,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t423" href="#t423">423</a></span><span class="t"><span class="com">#             psi_q + self.L_q * i_q + self.L_mq * i_Q1 + self.L_mq * i_Q2,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t424" href="#t424">424</a></span><span class="t"><span class="com">#             psi_F + self.L_md * i_d + self.L_F * i_F + self.L_md * i_D,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t425" href="#t425">425</a></span><span class="t"><span class="com">#             psi_D + self.L_md * i_d + self.L_md * i_F + self.L_D * i_D,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t426" href="#t426">426</a></span><span class="t"><span class="com">#             psi_Q1 + self.L_mq * i_q + self.L_Q1 * i_Q1 + self.L_mq * i_Q2,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t427" href="#t427">427</a></span><span class="t"><span class="com">#             psi_Q2 + self.L_mq * i_q + self.L_mq * i_Q1 + self.L_Q2 * i_Q2,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t428" href="#t428">428</a></span><span class="t"><span class="com">#             # algebraic pi line</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t429" href="#t429">429</a></span><span class="t"><span class="com">#             -il_d + vl_d/self.R_L,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t430" href="#t430">430</a></span><span class="t"><span class="com">#             -il_q + vl_q/self.R_L,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t431" href="#t431">431</a></span><span class="t"><span class="com">#         )</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t432" href="#t432">432</a></span><span class="t"><span class="com">#         return f</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t433" href="#t433">433</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t434" href="#t434">434</a></span><span class="t"><span class="com">#     def u_exact(self, t):</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t435" href="#t435">435</a></span><span class="t"><span class="com">#         """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t436" href="#t436">436</a></span><span class="t"><span class="com">#         Approximation of the exact solution generated by spline interpolation of an extremely accurate numerical reference solution.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t437" href="#t437">437</a></span><span class="t"><span class="com">#         Args:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t438" href="#t438">438</a></span><span class="t"><span class="com">#             t (float): current time</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t439" href="#t439">439</a></span><span class="t"><span class="com">#         Returns:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t440" href="#t440">440</a></span><span class="t"><span class="com">#             Mesh containing fixed initial value, 5 components</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t441" href="#t441">441</a></span><span class="t"><span class="com">#         """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t442" href="#t442">442</a></span><span class="t"><span class="com">#         me = self.dtype_u(self.init)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t443" href="#t443">443</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t444" href="#t444">444</a></span><span class="t"><span class="com">#         if t == 0:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t445" href="#t445">445</a></span><span class="t"><span class="com">#             psi_d = 0.3971299</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t446" href="#t446">446</a></span><span class="t"><span class="com">#             psi_q = 0.9219154</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t447" href="#t447">447</a></span><span class="t"><span class="com">#             psi_F = 0.8374232</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t448" href="#t448">448</a></span><span class="t"><span class="com">#             psi_D = 0.5795112</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t449" href="#t449">449</a></span><span class="t"><span class="com">#             psi_Q1 = 0.8433430</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t450" href="#t450">450</a></span><span class="t"><span class="com">#             psi_Q2 = 0.8433430</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t451" href="#t451">451</a></span><span class="t"><span class="com">#             i_d = -1.215876</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t452" href="#t452">452</a></span><span class="t"><span class="com">#             i_q = 0.5238156</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t453" href="#t453">453</a></span><span class="t"><span class="com">#             i_F = 1.565</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t454" href="#t454">454</a></span><span class="t"><span class="com">#             i_D = 0</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t455" href="#t455">455</a></span><span class="t"><span class="com">#             i_Q1 = 0</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t456" href="#t456">456</a></span><span class="t"><span class="com">#             i_Q2 = 0</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t457" href="#t457">457</a></span><span class="t"><span class="com">#             v_d = -0.9362397</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t458" href="#t458">458</a></span><span class="t"><span class="com">#             v_q = 0.4033005</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t459" href="#t459">459</a></span><span class="t"><span class="com">#             omega_m = 1.0</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t460" href="#t460">460</a></span><span class="t"><span class="com">#             # pi line</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t461" href="#t461">461</a></span><span class="t"><span class="com">#             iz_d = -1.215875</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t462" href="#t462">462</a></span><span class="t"><span class="com">#             iz_q = 0.5238151</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t463" href="#t463">463</a></span><span class="t"><span class="com">#             il_d = -1.215875</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t464" href="#t464">464</a></span><span class="t"><span class="com">#             il_q = 0.5238147</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t465" href="#t465">465</a></span><span class="t"><span class="com">#             vl_d = -0.9119063</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t466" href="#t466">466</a></span><span class="t"><span class="com">#             vl_q = 0.3928611</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t467" href="#t467">467</a></span><span class="t"><span class="com">#             me[:] = (psi_d, psi_q, psi_F, psi_D, psi_Q1, psi_Q2,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t468" href="#t468">468</a></span><span class="t"><span class="com">#                 i_d, i_q, i_F, i_D, i_Q1, i_Q2,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t469" href="#t469">469</a></span><span class="t"><span class="com">#                 omega_m,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t470" href="#t470">470</a></span><span class="t"><span class="com">#                 v_d, v_q,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t471" href="#t471">471</a></span><span class="t"><span class="com">#                 iz_d, iz_q, il_d, il_q, vl_d, vl_q)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t472" href="#t472">472</a></span><span class="t"><span class="com">#         elif t &lt; self.t_end:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t473" href="#t473">473</a></span><span class="t"><span class="com">#             me[:] = self.u_ref(t)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t474" href="#t474">474</a></span><span class="t"><span class="com">#         else:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t475" href="#t475">475</a></span><span class="t"><span class="com">#             self.logger.warning("Requested time exceeds domain of the reference solution. Returning zero.")</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t476" href="#t476">476</a></span><span class="t"><span class="com">#             me[:] = (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t477" href="#t477">477</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t478" href="#t478">478</a></span><span class="t"><span class="com">#         return me</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t317" href="#t317">317</a></span><span class="t"><span class="com"># class synchronous_machine_pi_line(ptype_dae):</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t318" href="#t318">318</a></span><span class="t"><span class="com">#     """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t319" href="#t319">319</a></span><span class="t"><span class="com">#     Synchronous machine model from Kundur (equiv. circuits fig. 3.18)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t320" href="#t320">320</a></span><span class="t"><span class="com">#     attached to pi line with resistive load</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t321" href="#t321">321</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t322" href="#t322">322</a></span><span class="t"><span class="com">#     This model does not work yet but is included as a starting point for developing similar models and in the hope that somebody will figure out why it does not work</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t323" href="#t323">323</a></span><span class="t"><span class="com">#     """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t324" href="#t324">324</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t325" href="#t325">325</a></span><span class="t"><span class="com">#     def __init__(self, problem_params, dtype_u=mesh, dtype_f=mesh):</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t326" href="#t326">326</a></span><span class="t"><span class="com">#         super(synchronous_machine_pi_line, self).__init__(problem_params, dtype_u, dtype_f)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t327" href="#t327">327</a></span><span class="t"><span class="com">#         # load reference solution</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t328" href="#t328">328</a></span><span class="t"><span class="com">#         # data file must be generated and stored under misc/data and self.t_end = t[-1]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t329" href="#t329">329</a></span><span class="t"><span class="com">#         # data = np.load(r'pySDC/projects/DAE/misc/data/synch_gen.npy')</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t330" href="#t330">330</a></span><span class="t"><span class="com">#         # x = data[:, 0]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t331" href="#t331">331</a></span><span class="t"><span class="com">#         # y = data[:, 1:]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t332" href="#t332">332</a></span><span class="t"><span class="com">#         # self.u_ref = interp1d(x, y, kind='cubic', axis=0, fill_value='extrapolate')</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t333" href="#t333">333</a></span><span class="t"><span class="com">#         self.t_end = 0.0</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t334" href="#t334">334</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t335" href="#t335">335</a></span><span class="t"><span class="com">#         self.L_d = 1.8099</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t336" href="#t336">336</a></span><span class="t"><span class="com">#         self.L_q = 1.76</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t337" href="#t337">337</a></span><span class="t"><span class="com">#         self.L_F = 1.8247</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t338" href="#t338">338</a></span><span class="t"><span class="com">#         self.L_D = 1.8312</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t339" href="#t339">339</a></span><span class="t"><span class="com">#         self.L_Q1 = 2.3352</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t340" href="#t340">340</a></span><span class="t"><span class="com">#         self.L_Q2 = 1.735</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t341" href="#t341">341</a></span><span class="t"><span class="com">#         self.L_md = 1.6599</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t342" href="#t342">342</a></span><span class="t"><span class="com">#         self.L_mq = 1.61</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t343" href="#t343">343</a></span><span class="t"><span class="com">#         self.R_s = 0.003</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t344" href="#t344">344</a></span><span class="t"><span class="com">#         self.R_F = 0.0006</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t345" href="#t345">345</a></span><span class="t"><span class="com">#         self.R_D = 0.0284</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t346" href="#t346">346</a></span><span class="t"><span class="com">#         self.R_Q1 = 0.0062</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t347" href="#t347">347</a></span><span class="t"><span class="com">#         self.R_Q2 = 0.0237</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t348" href="#t348">348</a></span><span class="t"><span class="com">#         self.omega_b = 376.9911184307752</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t349" href="#t349">349</a></span><span class="t"><span class="com">#         self.H_ = 3.525</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t350" href="#t350">350</a></span><span class="t"><span class="com">#         self.K_D = 0.0</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t351" href="#t351">351</a></span><span class="t"><span class="com">#         # pi line</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t352" href="#t352">352</a></span><span class="t"><span class="com">#         self.C_pi = 0.000002</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t353" href="#t353">353</a></span><span class="t"><span class="com">#         self.R_pi = 0.02</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t354" href="#t354">354</a></span><span class="t"><span class="com">#         self.L_pi = 0.00003</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t355" href="#t355">355</a></span><span class="t"><span class="com">#         # load</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t356" href="#t356">356</a></span><span class="t"><span class="com">#         self.R_L = 0.75</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t357" href="#t357">357</a></span><span class="t"><span class="com">#         self.v_F = 8.736809687330562e-4</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t358" href="#t358">358</a></span><span class="t"><span class="com">#         self.v_D = 0</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t359" href="#t359">359</a></span><span class="t"><span class="com">#         self.v_Q1 = 0</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t360" href="#t360">360</a></span><span class="t"><span class="com">#         self.v_Q2 = 0</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t361" href="#t361">361</a></span><span class="t"><span class="com">#         self.T_m = 0.854</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t362" href="#t362">362</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t363" href="#t363">363</a></span><span class="t"><span class="com">#     def eval_f(self, u, du, t):</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t364" href="#t364">364</a></span><span class="t"><span class="com">#         """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t365" href="#t365">365</a></span><span class="t"><span class="com">#         Routine to evaluate the implicit representation of the problem i.e. F(u', u, t)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t366" href="#t366">366</a></span><span class="t"><span class="com">#         Args:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t367" href="#t367">367</a></span><span class="t"><span class="com">#             u (dtype_u): the current values. This parameter has been "hijacked" to contain [u', u] in this case to enable evaluation of the implicit representation</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t368" href="#t368">368</a></span><span class="t"><span class="com">#             t (float): current time</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t369" href="#t369">369</a></span><span class="t"><span class="com">#         Returns:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t370" href="#t370">370</a></span><span class="t"><span class="com">#             Current value of F(), 21 components</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t371" href="#t371">371</a></span><span class="t"><span class="com">#         """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t372" href="#t372">372</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t373" href="#t373">373</a></span><span class="t"><span class="com">#         # simulate torque change at t = 0.05</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t374" href="#t374">374</a></span><span class="t"><span class="com">#         if t >= 0.05:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t375" href="#t375">375</a></span><span class="t"><span class="com">#             self.T_m = 0.354</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t376" href="#t376">376</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t377" href="#t377">377</a></span><span class="t"><span class="com">#         f = self.dtype_f(self.init)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t378" href="#t378">378</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t379" href="#t379">379</a></span><span class="t"><span class="com">#         # u = [psi_d, psi_q, psi_F, psi_D, psi_Q1, psi_Q2,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t380" href="#t380">380</a></span><span class="t"><span class="com">#         #       i_d, i_q, i_F, i_D, i_Q1, i_Q2</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t381" href="#t381">381</a></span><span class="t"><span class="com">#         #       omega_m,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t382" href="#t382">382</a></span><span class="t"><span class="com">#         #       v_d, v_q,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t383" href="#t383">383</a></span><span class="t"><span class="com">#         #       iz_d, iz_q, il_d, il_q, vl_d, vl_q]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t384" href="#t384">384</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t385" href="#t385">385</a></span><span class="t"><span class="com">#         # extract variables for readability</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t386" href="#t386">386</a></span><span class="t"><span class="com">#         # algebraic components</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t387" href="#t387">387</a></span><span class="t"><span class="com">#         psi_d, psi_q, psi_F, psi_D, psi_Q1, psi_Q2 = u[0], u[1], u[2], u[3], u[4], u[5]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t388" href="#t388">388</a></span><span class="t"><span class="com">#         i_d, i_q, i_F, i_D, i_Q1, i_Q2 = u[6], u[7], u[8], u[9], u[10], u[11]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t389" href="#t389">389</a></span><span class="t"><span class="com">#         # delta_r = u[12]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t390" href="#t390">390</a></span><span class="t"><span class="com">#         omega_m = u[12]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t391" href="#t391">391</a></span><span class="t"><span class="com">#         v_d, v_q = u[13], u[14]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t392" href="#t392">392</a></span><span class="t"><span class="com">#         iz_d, iz_q, il_d, il_q, vl_d, vl_q = u[15], u[16], u[17], u[18], u[19], u[20]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t393" href="#t393">393</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t394" href="#t394">394</a></span><span class="t"><span class="com">#         # differential components</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t395" href="#t395">395</a></span><span class="t"><span class="com">#         # these result directly from the voltage equations, introduced e.g. pg. 145 Krause</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t396" href="#t396">396</a></span><span class="t"><span class="com">#         dpsi_d, dpsi_q, dpsi_F, dpsi_D, dpsi_Q1, dpsi_Q2 = du[0], du[1], du[2], du[3], du[4], du[5]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t397" href="#t397">397</a></span><span class="t"><span class="com">#         # ddelta_r = du[12]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t398" href="#t398">398</a></span><span class="t"><span class="com">#         domega_m = du[12]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t399" href="#t399">399</a></span><span class="t"><span class="com">#         dv_d, dv_q = du[13], du[14]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t400" href="#t400">400</a></span><span class="t"><span class="com">#         diz_d, diz_q, dvl_d, dvl_q = du[15], du[16],du[19], du[20]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t401" href="#t401">401</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t402" href="#t402">402</a></span><span class="t"><span class="com">#         # algebraic variables are i_d, i_q, i_F, i_D, i_Q1, i_Q2, il_d, il_q</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t403" href="#t403">403</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t404" href="#t404">404</a></span><span class="t"><span class="com">#         f[:] = (</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t405" href="#t405">405</a></span><span class="t"><span class="com">#             # differential generator</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t406" href="#t406">406</a></span><span class="t"><span class="com">#             dpsi_d + self.omega_b * (v_d - self.R_s * i_d + omega_m * psi_q),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t407" href="#t407">407</a></span><span class="t"><span class="com">#             dpsi_q + self.omega_b * (v_q - self.R_s * i_q - omega_m * psi_d),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t408" href="#t408">408</a></span><span class="t"><span class="com">#             dpsi_F + self.omega_b * (self.v_F - self.R_F * i_F),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t409" href="#t409">409</a></span><span class="t"><span class="com">#             dpsi_D + self.omega_b * (self.v_D - self.R_D * i_D),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t410" href="#t410">410</a></span><span class="t"><span class="com">#             dpsi_Q1 + self.omega_b * (self.v_Q1 - self.R_Q1 * i_Q1),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t411" href="#t411">411</a></span><span class="t"><span class="com">#             dpsi_Q2 + self.omega_b * (self.v_Q2 - self.R_Q2 * i_Q2),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t412" href="#t412">412</a></span><span class="t"><span class="com">#             -domega_m + 1 / (2 * self.H_) * (self.T_m - (psi_q * i_d - psi_d * i_q) - self.K_D * self.omega_b * (omega_m-1)),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t413" href="#t413">413</a></span><span class="t"><span class="com">#             # differential pi line</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t414" href="#t414">414</a></span><span class="t"><span class="com">#             -dv_d + omega_m * v_q + 2/self.C_pi * (i_d - iz_d),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t415" href="#t415">415</a></span><span class="t"><span class="com">#             -dv_q - omega_m * v_d + 2/self.C_pi * (i_q - iz_q),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t416" href="#t416">416</a></span><span class="t"><span class="com">#             -dvl_d + omega_m * vl_q + 2/self.C_pi * (iz_d - il_d),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t417" href="#t417">417</a></span><span class="t"><span class="com">#             -dvl_q - omega_m * vl_d + 2/self.C_pi * (iz_q - il_q),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t418" href="#t418">418</a></span><span class="t"><span class="com">#             -diz_d - self.R_pi/self.L_pi * iz_d + omega_m * iz_q + (v_d - vl_d) / self.L_pi,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t419" href="#t419">419</a></span><span class="t"><span class="com">#             -diz_q - self.R_pi/self.L_pi * iz_q - omega_m * iz_d + (v_q - vl_q) / self.L_pi,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t420" href="#t420">420</a></span><span class="t"><span class="com">#             # algebraic generator</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t421" href="#t421">421</a></span><span class="t"><span class="com">#             psi_d + self.L_d * i_d + self.L_md * i_F + self.L_md * i_D,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t422" href="#t422">422</a></span><span class="t"><span class="com">#             psi_q + self.L_q * i_q + self.L_mq * i_Q1 + self.L_mq * i_Q2,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t423" href="#t423">423</a></span><span class="t"><span class="com">#             psi_F + self.L_md * i_d + self.L_F * i_F + self.L_md * i_D,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t424" href="#t424">424</a></span><span class="t"><span class="com">#             psi_D + self.L_md * i_d + self.L_md * i_F + self.L_D * i_D,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t425" href="#t425">425</a></span><span class="t"><span class="com">#             psi_Q1 + self.L_mq * i_q + self.L_Q1 * i_Q1 + self.L_mq * i_Q2,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t426" href="#t426">426</a></span><span class="t"><span class="com">#             psi_Q2 + self.L_mq * i_q + self.L_mq * i_Q1 + self.L_Q2 * i_Q2,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t427" href="#t427">427</a></span><span class="t"><span class="com">#             # algebraic pi line</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t428" href="#t428">428</a></span><span class="t"><span class="com">#             -il_d + vl_d/self.R_L,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t429" href="#t429">429</a></span><span class="t"><span class="com">#             -il_q + vl_q/self.R_L,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t430" href="#t430">430</a></span><span class="t"><span class="com">#         )</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t431" href="#t431">431</a></span><span class="t"><span class="com">#         return f</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t432" href="#t432">432</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t433" href="#t433">433</a></span><span class="t"><span class="com">#     def u_exact(self, t):</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t434" href="#t434">434</a></span><span class="t"><span class="com">#         """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t435" href="#t435">435</a></span><span class="t"><span class="com">#         Approximation of the exact solution generated by spline interpolation of an extremely accurate numerical reference solution.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t436" href="#t436">436</a></span><span class="t"><span class="com">#         Args:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t437" href="#t437">437</a></span><span class="t"><span class="com">#             t (float): current time</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t438" href="#t438">438</a></span><span class="t"><span class="com">#         Returns:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t439" href="#t439">439</a></span><span class="t"><span class="com">#             Mesh containing fixed initial value, 5 components</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t440" href="#t440">440</a></span><span class="t"><span class="com">#         """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t441" href="#t441">441</a></span><span class="t"><span class="com">#         me = self.dtype_u(self.init)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t442" href="#t442">442</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t443" href="#t443">443</a></span><span class="t"><span class="com">#         if t == 0:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t444" href="#t444">444</a></span><span class="t"><span class="com">#             psi_d = 0.3971299</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t445" href="#t445">445</a></span><span class="t"><span class="com">#             psi_q = 0.9219154</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t446" href="#t446">446</a></span><span class="t"><span class="com">#             psi_F = 0.8374232</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t447" href="#t447">447</a></span><span class="t"><span class="com">#             psi_D = 0.5795112</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t448" href="#t448">448</a></span><span class="t"><span class="com">#             psi_Q1 = 0.8433430</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t449" href="#t449">449</a></span><span class="t"><span class="com">#             psi_Q2 = 0.8433430</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t450" href="#t450">450</a></span><span class="t"><span class="com">#             i_d = -1.215876</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t451" href="#t451">451</a></span><span class="t"><span class="com">#             i_q = 0.5238156</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t452" href="#t452">452</a></span><span class="t"><span class="com">#             i_F = 1.565</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t453" href="#t453">453</a></span><span class="t"><span class="com">#             i_D = 0</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t454" href="#t454">454</a></span><span class="t"><span class="com">#             i_Q1 = 0</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t455" href="#t455">455</a></span><span class="t"><span class="com">#             i_Q2 = 0</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t456" href="#t456">456</a></span><span class="t"><span class="com">#             v_d = -0.9362397</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t457" href="#t457">457</a></span><span class="t"><span class="com">#             v_q = 0.4033005</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t458" href="#t458">458</a></span><span class="t"><span class="com">#             omega_m = 1.0</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t459" href="#t459">459</a></span><span class="t"><span class="com">#             # pi line</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t460" href="#t460">460</a></span><span class="t"><span class="com">#             iz_d = -1.215875</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t461" href="#t461">461</a></span><span class="t"><span class="com">#             iz_q = 0.5238151</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t462" href="#t462">462</a></span><span class="t"><span class="com">#             il_d = -1.215875</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t463" href="#t463">463</a></span><span class="t"><span class="com">#             il_q = 0.5238147</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t464" href="#t464">464</a></span><span class="t"><span class="com">#             vl_d = -0.9119063</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t465" href="#t465">465</a></span><span class="t"><span class="com">#             vl_q = 0.3928611</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t466" href="#t466">466</a></span><span class="t"><span class="com">#             me[:] = (psi_d, psi_q, psi_F, psi_D, psi_Q1, psi_Q2,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t467" href="#t467">467</a></span><span class="t"><span class="com">#                 i_d, i_q, i_F, i_D, i_Q1, i_Q2,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t468" href="#t468">468</a></span><span class="t"><span class="com">#                 omega_m,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t469" href="#t469">469</a></span><span class="t"><span class="com">#                 v_d, v_q,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t470" href="#t470">470</a></span><span class="t"><span class="com">#                 iz_d, iz_q, il_d, il_q, vl_d, vl_q)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t471" href="#t471">471</a></span><span class="t"><span class="com">#         elif t &lt; self.t_end:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t472" href="#t472">472</a></span><span class="t"><span class="com">#             me[:] = self.u_ref(t)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t473" href="#t473">473</a></span><span class="t"><span class="com">#         else:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t474" href="#t474">474</a></span><span class="t"><span class="com">#             self.logger.warning("Requested time exceeds domain of the reference solution. Returning zero.")</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t475" href="#t475">475</a></span><span class="t"><span class="com">#             me[:] = (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t476" href="#t476">476</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t477" href="#t477">477</a></span><span class="t"><span class="com">#         return me</span>&nbsp;</span><span class="r"></span></p>
 </main>
 <footer>
     <div class="content">
         <p>
-            <a class="nav" href="z_0eb34c630be51b75_simple_DAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
+            <a class="nav" href="z_0eb34c630be51b75_simpleDAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
             <a class="nav" href="index.html">&Hat; index</a> &nbsp; &nbsp;
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+            <a class="nav" href="z_0eb34c630be51b75_transistorAmplifier_py.html">&#xbb; next</a>
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             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
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+            created at 2024-07-27 09:26 +0000
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 </footer>
diff --git a/coverage/z_0eb34c630be51b75_transistor_amplifier_py.html b/coverage/z_0eb34c630be51b75_transistorAmplifier_py.html
similarity index 98%
rename from coverage/z_0eb34c630be51b75_transistor_amplifier_py.html
rename to coverage/z_0eb34c630be51b75_transistorAmplifier_py.html
index dc3c5db320..5d9515c1dd 100644
--- a/coverage/z_0eb34c630be51b75_transistor_amplifier_py.html
+++ b/coverage/z_0eb34c630be51b75_transistorAmplifier_py.html
@@ -2,7 +2,7 @@
 <html lang="en">
 <head>
     <meta http-equiv="Content-Type" content="text/html; charset=utf-8">
-    <title>Coverage for pySDC/projects/DAE/problems/transistor_amplifier.py: 97%</title>
+    <title>Coverage for pySDC/projects/DAE/problems/transistorAmplifier.py: 97%</title>
     <link rel="icon" sizes="32x32" href="favicon_32_cb_58284776.png">
     <link rel="stylesheet" href="style_cb_8e611ae1.css" type="text/css">
     <script src="coverage_html_cb_6fb7b396.js" defer></script>
@@ -11,7 +11,7 @@
 <header>
     <div class="content">
         <h1>
-            <span class="text">Coverage for </span><b>pySDC/projects/DAE/problems/transistor_amplifier.py</b>:
+            <span class="text">Coverage for </span><b>pySDC/projects/DAE/problems/transistorAmplifier.py</b>:
             <span class="pc_cov">97%</span>
         </h1>
         <aside id="help_panel_wrapper">
@@ -60,12 +60,12 @@ <h2>
             <button type="button" class="exc show_exc button_toggle_exc" value="exc" data-shortcut="x" title="Toggle lines excluded">0<span class="text"> excluded</span></button>
         </h2>
         <p class="text">
-            <a id="prevFileLink" class="nav" href="z_0eb34c630be51b75_synchronous_machine_py.html">&#xab; prev</a> &nbsp; &nbsp;
+            <a id="prevFileLink" class="nav" href="z_0eb34c630be51b75_synchronousMachine_py.html">&#xab; prev</a> &nbsp; &nbsp;
             <a id="indexLink" class="nav" href="index.html">&Hat; index</a> &nbsp; &nbsp;
-            <a id="nextFileLink" class="nav" href="z_4ef83d310f553371_accuracy_check_MPI_py.html">&#xbb; next</a>
+            <a id="nextFileLink" class="nav" href="z_0eb34c630be51b75_wscc9BusSystem_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -84,7 +84,7 @@ <h2>
     <p class="run"><span class="n"><a id="t2" href="#t2">2</a></span><span class="t"><span class="key">import</span> <span class="nam">numpy</span> <span class="key">as</span> <span class="nam">np</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t3" href="#t3">3</a></span><span class="t"><span class="key">from</span> <span class="nam">scipy</span><span class="op">.</span><span class="nam">interpolate</span> <span class="key">import</span> <span class="nam">interp1d</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">ProblemDAE</span> <span class="key">import</span> <span class="nam">ptype_dae</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">problemDAE</span> <span class="key">import</span> <span class="nam">ProblemDAE</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">implementations</span><span class="op">.</span><span class="nam">datatype_classes</span><span class="op">.</span><span class="nam">mesh</span> <span class="key">import</span> <span class="nam">mesh</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t8" href="#t8">8</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
@@ -93,7 +93,7 @@ <h2>
     <p class="run"><span class="n"><a id="t11" href="#t11">11</a></span><span class="t">    <span class="key">return</span> <span class="num">1e-6</span> <span class="op">*</span> <span class="op">(</span><span class="nam">np</span><span class="op">.</span><span class="nam">exp</span><span class="op">(</span><span class="nam">u_in</span> <span class="op">/</span> <span class="num">0.026</span><span class="op">)</span> <span class="op">-</span> <span class="num">1</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t12" href="#t12">12</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t13" href="#t13">13</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t14" href="#t14">14</a></span><span class="t"><span class="key">class</span> <span class="nam">one_transistor_amplifier</span><span class="op">(</span><span class="nam">ptype_dae</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t14" href="#t14">14</a></span><span class="t"><span class="key">class</span> <span class="nam">OneTransistorAmplifier</span><span class="op">(</span><span class="nam">ProblemDAE</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t15" href="#t15">15</a></span><span class="t">    <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t16" href="#t16">16</a></span><span class="t"><span class="str">    The one transistor amplifier example from pg. 377 in [1]_. The problem is an index-1 differential-algebraic equation</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t17" href="#t17">17</a></span><span class="t"><span class="str">    (DAE) having the equations</span>&nbsp;</span><span class="r"></span></p>
@@ -220,7 +220,7 @@ <h2>
     <p class="run"><span class="n"><a id="t138" href="#t138">138</a></span><span class="t">        <span class="key">return</span> <span class="nam">me</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t139" href="#t139">139</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t140" href="#t140">140</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t141" href="#t141">141</a></span><span class="t"><span class="key">class</span> <span class="nam">two_transistor_amplifier</span><span class="op">(</span><span class="nam">ptype_dae</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t141" href="#t141">141</a></span><span class="t"><span class="key">class</span> <span class="nam">TwoTransistorAmplifier</span><span class="op">(</span><span class="nam">ProblemDAE</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t142" href="#t142">142</a></span><span class="t">    <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t143" href="#t143">143</a></span><span class="t"><span class="str">    The two transistor amplifier example from page 108 in [1]_. The problem is an index-1 differential-algebraic equation</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t144" href="#t144">144</a></span><span class="t"><span class="str">    (DAE) having the equations</span>&nbsp;</span><span class="r"></span></p>
@@ -363,12 +363,12 @@ <h2>
 <footer>
     <div class="content">
         <p>
-            <a class="nav" href="z_0eb34c630be51b75_synchronous_machine_py.html">&#xab; prev</a> &nbsp; &nbsp;
+            <a class="nav" href="z_0eb34c630be51b75_synchronousMachine_py.html">&#xab; prev</a> &nbsp; &nbsp;
             <a class="nav" href="index.html">&Hat; index</a> &nbsp; &nbsp;
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+            <a class="nav" href="z_0eb34c630be51b75_wscc9BusSystem_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
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 </footer>
diff --git a/coverage/z_0eb34c630be51b75_WSCC9BusSystem_py.html b/coverage/z_0eb34c630be51b75_wscc9BusSystem_py.html
similarity index 99%
rename from coverage/z_0eb34c630be51b75_WSCC9BusSystem_py.html
rename to coverage/z_0eb34c630be51b75_wscc9BusSystem_py.html
index adf23fbdb4..8616caf115 100644
--- a/coverage/z_0eb34c630be51b75_WSCC9BusSystem_py.html
+++ b/coverage/z_0eb34c630be51b75_wscc9BusSystem_py.html
@@ -2,7 +2,7 @@
 <html lang="en">
 <head>
     <meta http-equiv="Content-Type" content="text/html; charset=utf-8">
-    <title>Coverage for pySDC/projects/DAE/problems/WSCC9BusSystem.py: 99%</title>
+    <title>Coverage for pySDC/projects/DAE/problems/wscc9BusSystem.py: 99%</title>
     <link rel="icon" sizes="32x32" href="favicon_32_cb_58284776.png">
     <link rel="stylesheet" href="style_cb_8e611ae1.css" type="text/css">
     <script src="coverage_html_cb_6fb7b396.js" defer></script>
@@ -11,7 +11,7 @@
 <header>
     <div class="content">
         <h1>
-            <span class="text">Coverage for </span><b>pySDC/projects/DAE/problems/WSCC9BusSystem.py</b>:
+            <span class="text">Coverage for </span><b>pySDC/projects/DAE/problems/wscc9BusSystem.py</b>:
             <span class="pc_cov">99%</span>
         </h1>
         <aside id="help_panel_wrapper">
@@ -60,12 +60,12 @@ <h2>
             <button type="button" class="exc show_exc button_toggle_exc" value="exc" data-shortcut="x" title="Toggle lines excluded">2<span class="text"> excluded</span></button>
         </h2>
         <p class="text">
-            <a id="prevFileLink" class="nav" href="z_0eb34c630be51b75_DiscontinuousTestDAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
+            <a id="prevFileLink" class="nav" href="z_0eb34c630be51b75_transistorAmplifier_py.html">&#xab; prev</a> &nbsp; &nbsp;
             <a id="indexLink" class="nav" href="index.html">&Hat; index</a> &nbsp; &nbsp;
-            <a id="nextFileLink" class="nav" href="z_0eb34c630be51b75_pendulum2D_py.html">&#xbb; next</a>
+            <a id="nextFileLink" class="nav" href="z_4ef83d310f553371_accuracy_check_MPI_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
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+            created at 2024-07-27 09:26 +0000
         </p>
         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -81,7 +81,7 @@ <h2>
 </header>
 <main id="source">
     <p class="run"><span class="n"><a id="t1" href="#t1">1</a></span><span class="t"><span class="key">import</span> <span class="nam">numpy</span> <span class="key">as</span> <span class="nam">np</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t2" href="#t2">2</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">ProblemDAE</span> <span class="key">import</span> <span class="nam">ptype_dae</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t2" href="#t2">2</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">problemDAE</span> <span class="key">import</span> <span class="nam">ProblemDAE</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t3" href="#t3">3</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">core</span><span class="op">.</span><span class="nam">errors</span> <span class="key">import</span> <span class="nam">ParameterError</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
@@ -655,7 +655,7 @@ <h2>
     <p class="pln"><span class="n"><a id="t573" href="#t573">573</a></span><span class="t"><span class="com">#     return ppc['Ybus']()</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t574" href="#t574">574</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t575" href="#t575">575</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t576" href="#t576">576</a></span><span class="t"><span class="key">class</span> <span class="nam">WSCC9BusSystem</span><span class="op">(</span><span class="nam">ptype_dae</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t576" href="#t576">576</a></span><span class="t"><span class="key">class</span> <span class="nam">WSCC9BusSystem</span><span class="op">(</span><span class="nam">ProblemDAE</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t577" href="#t577">577</a></span><span class="t">    <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t578" href="#t578">578</a></span><span class="t"><span class="str">    Example implementing the WSCC 9 Bus system [1]_. For this complex model, the equations can be found in [2]_, and</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t579" href="#t579">579</a></span><span class="t"><span class="str">    sub-transient and turbine parameters are taken from [3]_. The network data of the system are taken from MATPOWER [4]_.</span>&nbsp;</span><span class="r"></span></p>
@@ -1317,12 +1317,12 @@ <h2>
 <footer>
     <div class="content">
         <p>
-            <a class="nav" href="z_0eb34c630be51b75_DiscontinuousTestDAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
+            <a class="nav" href="z_0eb34c630be51b75_transistorAmplifier_py.html">&#xab; prev</a> &nbsp; &nbsp;
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-            <a class="nav" href="z_0eb34c630be51b75_pendulum2D_py.html">&#xbb; next</a>
+            <a class="nav" href="z_4ef83d310f553371_accuracy_check_MPI_py.html">&#xbb; next</a>
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_11ffac7f7ab8bb8d_A_pySDC_with_FEniCS_py.html b/coverage/z_11ffac7f7ab8bb8d_A_pySDC_with_FEniCS_py.html
index 1288cb18fd..0638ddbdbe 100644
--- a/coverage/z_11ffac7f7ab8bb8d_A_pySDC_with_FEniCS_py.html
+++ b/coverage/z_11ffac7f7ab8bb8d_A_pySDC_with_FEniCS_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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@@ -276,7 +276,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_11ffac7f7ab8bb8d_B_pySDC_with_mpi4pyfft_py.html b/coverage/z_11ffac7f7ab8bb8d_B_pySDC_with_mpi4pyfft_py.html
index 75c4099d4f..a3ad07abbd 100644
--- a/coverage/z_11ffac7f7ab8bb8d_B_pySDC_with_mpi4pyfft_py.html
+++ b/coverage/z_11ffac7f7ab8bb8d_B_pySDC_with_mpi4pyfft_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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@@ -243,7 +243,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_11ffac7f7ab8bb8d_C_pySDC_with_PETSc_py.html b/coverage/z_11ffac7f7ab8bb8d_C_pySDC_with_PETSc_py.html
index a78e9f5679..7d19edc0b6 100644
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+++ b/coverage/z_11ffac7f7ab8bb8d_C_pySDC_with_PETSc_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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@@ -256,7 +256,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_11ffac7f7ab8bb8d_D_pySDC_with_PyTorch_py.html b/coverage/z_11ffac7f7ab8bb8d_D_pySDC_with_PyTorch_py.html
index 55bf75f53a..87f784eb3e 100644
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+++ b/coverage/z_11ffac7f7ab8bb8d_D_pySDC_with_PyTorch_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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@@ -178,7 +178,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_15820e38ae7f8080_fully_implicit_DAE_MPI_py.html b/coverage/z_15820e38ae7f8080_fullyImplicitDAEMPI_py.html
similarity index 97%
rename from coverage/z_15820e38ae7f8080_fully_implicit_DAE_MPI_py.html
rename to coverage/z_15820e38ae7f8080_fullyImplicitDAEMPI_py.html
index 2735195eee..314e6b3a5b 100644
--- a/coverage/z_15820e38ae7f8080_fully_implicit_DAE_MPI_py.html
+++ b/coverage/z_15820e38ae7f8080_fullyImplicitDAEMPI_py.html
@@ -2,7 +2,7 @@
 <html lang="en">
 <head>
     <meta http-equiv="Content-Type" content="text/html; charset=utf-8">
-    <title>Coverage for pySDC/projects/DAE/sweepers/fully_implicit_DAE_MPI.py: 97%</title>
+    <title>Coverage for pySDC/projects/DAE/sweepers/fullyImplicitDAEMPI.py: 97%</title>
     <link rel="icon" sizes="32x32" href="favicon_32_cb_58284776.png">
     <link rel="stylesheet" href="style_cb_8e611ae1.css" type="text/css">
     <script src="coverage_html_cb_6fb7b396.js" defer></script>
@@ -11,7 +11,7 @@
 <header>
     <div class="content">
         <h1>
-            <span class="text">Coverage for </span><b>pySDC/projects/DAE/sweepers/fully_implicit_DAE_MPI.py</b>:
+            <span class="text">Coverage for </span><b>pySDC/projects/DAE/sweepers/fullyImplicitDAEMPI.py</b>:
             <span class="pc_cov">97%</span>
         </h1>
         <aside id="help_panel_wrapper">
@@ -60,12 +60,12 @@ <h2>
             <button type="button" class="exc show_exc button_toggle_exc" value="exc" data-shortcut="x" title="Toggle lines excluded">4<span class="text"> excluded</span></button>
         </h2>
         <p class="text">
-            <a id="prevFileLink" class="nav" href="z_15820e38ae7f8080_fully_implicit_DAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
+            <a id="prevFileLink" class="nav" href="z_15820e38ae7f8080_fullyImplicitDAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
             <a id="indexLink" class="nav" href="index.html">&Hat; index</a> &nbsp; &nbsp;
-            <a id="nextFileLink" class="nav" href="z_60ee0c9d7735ef11_AcousticAdvection_1D_FD_imex_multiscale_py.html">&#xbb; next</a>
+            <a id="nextFileLink" class="nav" href="z_15820e38ae7f8080_rungeKuttaDAE_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
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+            created at 2024-07-27 09:26 +0000
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             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -84,7 +84,7 @@ <h2>
     <p class="pln"><span class="n"><a id="t2" href="#t2">2</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t3" href="#t3">3</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">core</span><span class="op">.</span><span class="nam">errors</span> <span class="key">import</span> <span class="nam">ParameterError</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">implementations</span><span class="op">.</span><span class="nam">sweeper_classes</span><span class="op">.</span><span class="nam">generic_implicit_MPI</span> <span class="key">import</span> <span class="nam">SweeperMPI</span><span class="op">,</span> <span class="nam">generic_implicit_MPI</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">fully_implicit_DAE</span> <span class="key">import</span> <span class="nam">fully_implicit_DAE</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">fullyImplicitDAE</span> <span class="key">import</span> <span class="nam">FullyImplicitDAE</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t8" href="#t8">8</a></span><span class="t"><span class="key">class</span> <span class="nam">SweeperDAEMPI</span><span class="op">(</span><span class="nam">SweeperMPI</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
@@ -93,7 +93,7 @@ <h2>
     <p class="pln"><span class="n"><a id="t11" href="#t11">11</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t12" href="#t12">12</a></span><span class="t"><span class="str">    This class provides all the stuff to be done in parallel during the simulation. When implementing a new MPI-DAE sweeper multiple inheritance is used here</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t13" href="#t13">13</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t14" href="#t14">14</a></span><span class="t"><span class="str">    >>> class fully_implicit_DAE_MPI(SweeperDAEMPI, generic_implicit_MPI, fully_implicit_DAE):</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t14" href="#t14">14</a></span><span class="t"><span class="str">    >>> class FullyImplicitDAEMPI(SweeperDAEMPI, generic_implicit_MPI, FullyImplicitDAE):</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t15" href="#t15">15</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t16" href="#t16">16</a></span><span class="t"><span class="str">    Be careful with ordering of classes where the child class should inherit from! Due to multiple inheritance several methods are overwritten here. In the example above (which is the class below) the class first inherits the methods</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t17" href="#t17">17</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
@@ -189,14 +189,14 @@ <h2>
     <p class="run"><span class="n"><a id="t107" href="#t107">107</a></span><span class="t">        <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">updated</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t108" href="#t108">108</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t109" href="#t109">109</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t110" href="#t110">110</a></span><span class="t"><span class="key">class</span> <span class="nam">fully_implicit_DAE_MPI</span><span class="op">(</span><span class="nam">SweeperDAEMPI</span><span class="op">,</span> <span class="nam">generic_implicit_MPI</span><span class="op">,</span> <span class="nam">fully_implicit_DAE</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t110" href="#t110">110</a></span><span class="t"><span class="key">class</span> <span class="nam">FullyImplicitDAEMPI</span><span class="op">(</span><span class="nam">SweeperDAEMPI</span><span class="op">,</span> <span class="nam">generic_implicit_MPI</span><span class="op">,</span> <span class="nam">FullyImplicitDAE</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
     <p class="exc show_exc"><span class="n"><a id="t111" href="#t111">111</a></span><span class="t">    <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t112" href="#t112">112</a></span><span class="t"><span class="str">    Custom sweeper class to implement the fully-implicit SDC parallelized across the nodes for solving fully-implicit DAE problems of the form</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t113" href="#t113">113</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t114" href="#t114">114</a></span><span class="t"><span class="str">    .. math::</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t115" href="#t115">115</a></span><span class="t"><span class="str">        F(t, u, u') = 0.</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t116" href="#t116">116</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t117" href="#t117">117</a></span><span class="t"><span class="str">    More detailed description can be found in ``fully_implicit_DAE.py``.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t117" href="#t117">117</a></span><span class="t"><span class="str">    More detailed description can be found in ``fullyImplicitDAE.py``.</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t118" href="#t118">118</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t119" href="#t119">119</a></span><span class="t"><span class="str">    This sweeper uses diagonal matrices :math:`\mathbf{Q}_\Delta` to</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t120" href="#t120">120</a></span><span class="t"><span class="str">    solve the implicit system on each node in parallel. First diagonal matrices were first developed and applied in [1]_. Years later intensive theory in [2]_ is developed to that topic. Ideas of parallelizing SDC across the method are basically applied for the DAE case here.</span>&nbsp;</span><span class="r"></span></p>
@@ -263,7 +263,7 @@ <h2>
     <p class="run"><span class="n"><a id="t181" href="#t181">181</a></span><span class="t">        <span class="nam">u_approx</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">integral</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t182" href="#t182">182</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t183" href="#t183">183</a></span><span class="t">        <span class="nam">L</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">self</span><span class="op">.</span><span class="nam">rank</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">[</span><span class="op">:</span><span class="op">]</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">solve_system</span><span class="op">(</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t184" href="#t184">184</a></span><span class="t">            <span class="nam">fully_implicit_DAE</span><span class="op">.</span><span class="nam">F</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t184" href="#t184">184</a></span><span class="t">            <span class="nam">FullyImplicitDAE</span><span class="op">.</span><span class="nam">F</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t185" href="#t185">185</a></span><span class="t">            <span class="nam">u_approx</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t186" href="#t186">186</a></span><span class="t">            <span class="nam">L</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">QI</span><span class="op">[</span><span class="nam">self</span><span class="op">.</span><span class="nam">rank</span> <span class="op">+</span> <span class="num">1</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">rank</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t187" href="#t187">187</a></span><span class="t">            <span class="nam">L</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">self</span><span class="op">.</span><span class="nam">rank</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
@@ -280,12 +280,12 @@ <h2>
 <footer>
     <div class="content">
         <p>
-            <a class="nav" href="z_15820e38ae7f8080_fully_implicit_DAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
+            <a class="nav" href="z_15820e38ae7f8080_fullyImplicitDAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
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-            <a class="nav" href="z_60ee0c9d7735ef11_AcousticAdvection_1D_FD_imex_multiscale_py.html">&#xbb; next</a>
+            <a class="nav" href="z_15820e38ae7f8080_rungeKuttaDAE_py.html">&#xbb; next</a>
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_15820e38ae7f8080_fully_implicit_DAE_py.html b/coverage/z_15820e38ae7f8080_fullyImplicitDAE_py.html
similarity index 89%
rename from coverage/z_15820e38ae7f8080_fully_implicit_DAE_py.html
rename to coverage/z_15820e38ae7f8080_fullyImplicitDAE_py.html
index 69ebe04e53..101fa53993 100644
--- a/coverage/z_15820e38ae7f8080_fully_implicit_DAE_py.html
+++ b/coverage/z_15820e38ae7f8080_fullyImplicitDAE_py.html
@@ -2,7 +2,7 @@
 <html lang="en">
 <head>
     <meta http-equiv="Content-Type" content="text/html; charset=utf-8">
-    <title>Coverage for pySDC/projects/DAE/sweepers/fully_implicit_DAE.py: 97%</title>
+    <title>Coverage for pySDC/projects/DAE/sweepers/fullyImplicitDAE.py: 97%</title>
     <link rel="icon" sizes="32x32" href="favicon_32_cb_58284776.png">
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@@ -11,7 +11,7 @@
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         <h1>
-            <span class="text">Coverage for </span><b>pySDC/projects/DAE/sweepers/fully_implicit_DAE.py</b>:
+            <span class="text">Coverage for </span><b>pySDC/projects/DAE/sweepers/fullyImplicitDAE.py</b>:
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         </h1>
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@@ -54,18 +54,18 @@ <h1>
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@@ -85,272 +85,271 @@ <h2>
     <p class="pln"><span class="n"><a id="t3" href="#t3">3</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">core</span><span class="op">.</span><span class="nam">errors</span> <span class="key">import</span> <span class="nam">ParameterError</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">implementations</span><span class="op">.</span><span class="nam">sweeper_classes</span><span class="op">.</span><span class="nam">generic_implicit</span> <span class="key">import</span> <span class="nam">generic_implicit</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">DAEMesh</span> <span class="key">import</span> <span class="nam">DAEMesh</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t8" href="#t8">8</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t9" href="#t9">9</a></span><span class="t"><span class="key">class</span> <span class="nam">fully_implicit_DAE</span><span class="op">(</span><span class="nam">generic_implicit</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="exc show_exc"><span class="n"><a id="t10" href="#t10">10</a></span><span class="t">    <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t11" href="#t11">11</a></span><span class="t"><span class="str">    Custom sweeper class to implement the fully-implicit SDC for solving DAEs. It solves fully-implicit DAE problems</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t12" href="#t12">12</a></span><span class="t"><span class="str">    of the form</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t13" href="#t13">13</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t14" href="#t14">14</a></span><span class="t"><span class="str">    .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t15" href="#t15">15</a></span><span class="t"><span class="str">        F(t, u, u') = 0.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t16" href="#t16">16</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t17" href="#t17">17</a></span><span class="t"><span class="str">    It solves a collocation problem of the form</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t18" href="#t18">18</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t19" href="#t19">19</a></span><span class="t"><span class="str">    .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t20" href="#t20">20</a></span><span class="t"><span class="str">        F(\tau, \vec{U}_0 + \Delta t (\mathbf{Q} \otimes \mathbf{I}_n) \vec{U}, \vec{U}) = 0,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t21" href="#t21">21</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t22" href="#t22">22</a></span><span class="t"><span class="str">    where</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t23" href="#t23">23</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t24" href="#t24">24</a></span><span class="t"><span class="str">    - :math:`\tau=(\tau_1,..,\tau_M) in \mathbb{R}^M` the vector of collocation nodes,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t25" href="#t25">25</a></span><span class="t"><span class="str">    - :math:`\vec{U}_0 = (u_0,..,u_0) \in \mathbb{R}^{Mn}` the vector of initial condition spread to each node,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t26" href="#t26">26</a></span><span class="t"><span class="str">    - spectral integration matrix :math:`\mathbf{Q} \in \mathbb{R}^{M \times M}`,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t27" href="#t27">27</a></span><span class="t"><span class="str">    - :math:`\vec{U}=(U_1,..,U_M) \in \mathbb{R}^{Mn}` the vector of unknown derivatives</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t28" href="#t28">28</a></span><span class="t"><span class="str">      :math:`U_m \approx U(\tau_m) = u'(\tau_m) \in \mathbb{R}^n`,</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t29" href="#t29">29</a></span><span class="t"><span class="str">    - and identity matrix :math:`\mathbf{I}_n \in \mathbb{R}^{n \times n}`.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t30" href="#t30">30</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t31" href="#t31">31</a></span><span class="t"><span class="str">    The construction of this sweeper is based on the concepts outlined in [1]_.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t32" href="#t32">32</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t33" href="#t33">33</a></span><span class="t"><span class="str">    Parameters</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t34" href="#t34">34</a></span><span class="t"><span class="str">    ----------</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t35" href="#t35">35</a></span><span class="t"><span class="str">    params : dict</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t36" href="#t36">36</a></span><span class="t"><span class="str">        Parameters passed to the sweeper.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t37" href="#t37">37</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t38" href="#t38">38</a></span><span class="t"><span class="str">    Attributes</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t39" href="#t39">39</a></span><span class="t"><span class="str">    ----------</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t40" href="#t40">40</a></span><span class="t"><span class="str">    QI : np.2darray</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t41" href="#t41">41</a></span><span class="t"><span class="str">        Implicit Euler integration matrix.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t42" href="#t42">42</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t43" href="#t43">43</a></span><span class="t"><span class="str">    References</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t44" href="#t44">44</a></span><span class="t"><span class="str">    ----------</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t45" href="#t45">45</a></span><span class="t"><span class="str">    .. [1] J. Huang, J. Jun, M. L. Minion. Arbitrary order Krylov deferred correction methods for differential algebraic equation.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t46" href="#t46">46</a></span><span class="t"><span class="str">       J. Comput. Phys. Vol. 221 No. 2 (2007).</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t47" href="#t47">47</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t48" href="#t48">48</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t49" href="#t49">49</a></span><span class="t">    <span class="key">def</span> <span class="nam">__init__</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">params</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t50" href="#t50">50</a></span><span class="t">        <span class="str">"""Initialization routine"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t51" href="#t51">51</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t52" href="#t52">52</a></span><span class="t">        <span class="key">if</span> <span class="str">'QI'</span> <span class="key">not</span> <span class="key">in</span> <span class="nam">params</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t53" href="#t53">53</a></span><span class="t">            <span class="nam">params</span><span class="op">[</span><span class="str">'QI'</span><span class="op">]</span> <span class="op">=</span> <span class="str">'IE'</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t54" href="#t54">54</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t55" href="#t55">55</a></span><span class="t">        <span class="com"># call parent's initialization routine</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t56" href="#t56">56</a></span><span class="t">        <span class="nam">super</span><span class="op">(</span><span class="op">)</span><span class="op">.</span><span class="nam">__init__</span><span class="op">(</span><span class="nam">params</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t57" href="#t57">57</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t58" href="#t58">58</a></span><span class="t">        <span class="nam">msg</span> <span class="op">=</span> <span class="fst">f"</span><span class="fst">Quadrature type </span><span class="op">{</span><span class="nam">self</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">quad_type</span><span class="op">}</span><span class="fst"> is not implemented yet. Use 'RADAU-RIGHT' instead!</span><span class="fst">"</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t59" href="#t59">59</a></span><span class="t">        <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">left_is_node</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="exc show_exc"><span class="n"><a id="t60" href="#t60">60</a></span><span class="t">            <span class="key">raise</span> <span class="nam">ParameterError</span><span class="op">(</span><span class="nam">msg</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t61" href="#t61">61</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t62" href="#t62">62</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">QI</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">get_Qdelta_implicit</span><span class="op">(</span><span class="nam">qd_type</span><span class="op">=</span><span class="nam">self</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">QI</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t63" href="#t63">63</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t64" href="#t64">64</a></span><span class="t">    <span class="key">def</span> <span class="nam">update_nodes</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t65" href="#t65">65</a></span><span class="t">        <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t66" href="#t66">66</a></span><span class="t"><span class="str">        Updates values of ``u`` and ``f`` at collocation nodes. This correspond to a single iteration of the</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t67" href="#t67">67</a></span><span class="t"><span class="str">        preconditioned Richardson iteration in **"ordinary"** SDC.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t68" href="#t68">68</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t69" href="#t69">69</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t70" href="#t70">70</a></span><span class="t">        <span class="nam">L</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">level</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t71" href="#t71">71</a></span><span class="t">        <span class="nam">P</span> <span class="op">=</span> <span class="nam">L</span><span class="op">.</span><span class="nam">prob</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t72" href="#t72">72</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t73" href="#t73">73</a></span><span class="t">        <span class="com"># only if the level has been touched before</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t74" href="#t74">74</a></span><span class="t">        <span class="key">assert</span> <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">unlocked</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t75" href="#t75">75</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t76" href="#t76">76</a></span><span class="t">        <span class="nam">M</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_nodes</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t77" href="#t77">77</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t78" href="#t78">78</a></span><span class="t">        <span class="com"># get QU^k where U = u'</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t79" href="#t79">79</a></span><span class="t">        <span class="nam">integral</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">integrate</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t80" href="#t80">80</a></span><span class="t">        <span class="com"># build the rest of the known solution u_0 + del_t(Q - Q_del)U_k</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t81" href="#t81">81</a></span><span class="t">        <span class="key">for</span> <span class="nam">m</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">M</span> <span class="op">+</span> <span class="num">1</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t82" href="#t82">82</a></span><span class="t">            <span class="key">for</span> <span class="nam">j</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">M</span> <span class="op">+</span> <span class="num">1</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t83" href="#t83">83</a></span><span class="t">                <span class="nam">integral</span><span class="op">[</span><span class="nam">m</span> <span class="op">-</span> <span class="num">1</span><span class="op">]</span> <span class="op">-=</span> <span class="nam">L</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">QI</span><span class="op">[</span><span class="nam">m</span><span class="op">,</span> <span class="nam">j</span><span class="op">]</span> <span class="op">*</span> <span class="nam">L</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">j</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t84" href="#t84">84</a></span><span class="t">            <span class="nam">integral</span><span class="op">[</span><span class="nam">m</span> <span class="op">-</span> <span class="num">1</span><span class="op">]</span> <span class="op">+=</span> <span class="nam">L</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="num">0</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t85" href="#t85">85</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t86" href="#t86">86</a></span><span class="t">        <span class="com"># do the sweep</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t87" href="#t87">87</a></span><span class="t">        <span class="key">for</span> <span class="nam">m</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">M</span> <span class="op">+</span> <span class="num">1</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t88" href="#t88">88</a></span><span class="t">            <span class="com"># add the known components from current sweep del_t*Q_del*U_k+1</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t89" href="#t89">89</a></span><span class="t">            <span class="nam">u_approx</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">integral</span><span class="op">[</span><span class="nam">m</span> <span class="op">-</span> <span class="num">1</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t90" href="#t90">90</a></span><span class="t">            <span class="key">for</span> <span class="nam">j</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">m</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t91" href="#t91">91</a></span><span class="t">                <span class="nam">u_approx</span> <span class="op">+=</span> <span class="nam">L</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">QI</span><span class="op">[</span><span class="nam">m</span><span class="op">,</span> <span class="nam">j</span><span class="op">]</span> <span class="op">*</span> <span class="nam">L</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">j</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t92" href="#t92">92</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t93" href="#t93">93</a></span><span class="t">            <span class="com"># update gradient (recall L.f is being used to store the gradient)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t94" href="#t94">94</a></span><span class="t">            <span class="nam">L</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">solve_system</span><span class="op">(</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t95" href="#t95">95</a></span><span class="t">                <span class="nam">self</span><span class="op">.</span><span class="nam">F</span><span class="op">,</span> <span class="nam">u_approx</span><span class="op">,</span> <span class="nam">L</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">QI</span><span class="op">[</span><span class="nam">m</span><span class="op">,</span> <span class="nam">m</span><span class="op">]</span><span class="op">,</span> <span class="nam">L</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span><span class="op">,</span> <span class="nam">L</span><span class="op">.</span><span class="nam">time</span> <span class="op">+</span> <span class="nam">L</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="nam">m</span> <span class="op">-</span> <span class="num">1</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t96" href="#t96">96</a></span><span class="t">            <span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t97" href="#t97">97</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t98" href="#t98">98</a></span><span class="t">        <span class="com"># Update solution approximation</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t99" href="#t99">99</a></span><span class="t">        <span class="nam">integral</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">integrate</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t100" href="#t100">100</a></span><span class="t">        <span class="key">for</span> <span class="nam">m</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="nam">M</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t101" href="#t101">101</a></span><span class="t">            <span class="nam">L</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span> <span class="op">=</span> <span class="nam">L</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="num">0</span><span class="op">]</span> <span class="op">+</span> <span class="nam">integral</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t102" href="#t102">102</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t103" href="#t103">103</a></span><span class="t">        <span class="com"># indicate presence of new values at this level</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t104" href="#t104">104</a></span><span class="t">        <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">updated</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t105" href="#t105">105</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t106" href="#t106">106</a></span><span class="t">        <span class="key">return</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t107" href="#t107">107</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t108" href="#t108">108</a></span><span class="t">    <span class="key">def</span> <span class="nam">predict</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t109" href="#t109">109</a></span><span class="t">        <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t110" href="#t110">110</a></span><span class="t"><span class="str">        Predictor to fill values at nodes before first sweep. It can decide whether the</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t111" href="#t111">111</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t112" href="#t112">112</a></span><span class="t"><span class="str">            - initial condition is spread to each node ('initial_guess' = 'spread'),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t113" href="#t113">113</a></span><span class="t"><span class="str">            - zero values are spread to each node ('initial_guess' = 'zero'),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t114" href="#t114">114</a></span><span class="t"><span class="str">            - or random values are spread to each collocation node ('initial_guess' = 'random').</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t115" href="#t115">115</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t116" href="#t116">116</a></span><span class="t"><span class="str">        Default prediction for the sweepers, only copies the values to all collocation nodes. This function</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t117" href="#t117">117</a></span><span class="t"><span class="str">        overrides the base implementation by always initialising ``level.f`` to zero. This is necessary since</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t118" href="#t118">118</a></span><span class="t"><span class="str">        ``level.f`` stores the solution derivative in the fully implicit case, which is not initially known.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t119" href="#t119">119</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t120" href="#t120">120</a></span><span class="t">        <span class="com"># get current level and problem description</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t121" href="#t121">121</a></span><span class="t">        <span class="nam">L</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">level</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t122" href="#t122">122</a></span><span class="t">        <span class="nam">P</span> <span class="op">=</span> <span class="nam">L</span><span class="op">.</span><span class="nam">prob</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t123" href="#t123">123</a></span><span class="t">        <span class="com"># set initial guess for gradient to zero</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t124" href="#t124">124</a></span><span class="t">        <span class="nam">L</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="num">0</span><span class="op">]</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">dtype_f</span><span class="op">(</span><span class="nam">init</span><span class="op">=</span><span class="nam">P</span><span class="op">.</span><span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="num">0.0</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t125" href="#t125">125</a></span><span class="t">        <span class="key">for</span> <span class="nam">m</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">+</span> <span class="num">1</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t126" href="#t126">126</a></span><span class="t">            <span class="com"># copy u[0] to all collocation nodes and set f (the gradient) to zero</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t127" href="#t127">127</a></span><span class="t">            <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">initial_guess</span> <span class="op">==</span> <span class="str">'spread'</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t128" href="#t128">128</a></span><span class="t">                <span class="nam">L</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">L</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t129" href="#t129">129</a></span><span class="t">                <span class="nam">L</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">dtype_f</span><span class="op">(</span><span class="nam">init</span><span class="op">=</span><span class="nam">P</span><span class="op">.</span><span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="num">0.0</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t130" href="#t130">130</a></span><span class="t">            <span class="key">elif</span> <span class="nam">self</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">initial_guess</span> <span class="op">==</span> <span class="str">'zero'</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t131" href="#t131">131</a></span><span class="t">                <span class="nam">L</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">init</span><span class="op">=</span><span class="nam">P</span><span class="op">.</span><span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="num">0.0</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t132" href="#t132">132</a></span><span class="t">                <span class="nam">L</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">dtype_f</span><span class="op">(</span><span class="nam">init</span><span class="op">=</span><span class="nam">P</span><span class="op">.</span><span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="num">0.0</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t133" href="#t133">133</a></span><span class="t">            <span class="com"># start with random initial guess</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t134" href="#t134">134</a></span><span class="t">            <span class="key">elif</span> <span class="nam">self</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">initial_guess</span> <span class="op">==</span> <span class="str">'random'</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t135" href="#t135">135</a></span><span class="t">                <span class="nam">L</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">init</span><span class="op">=</span><span class="nam">P</span><span class="op">.</span><span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="nam">np</span><span class="op">.</span><span class="nam">random</span><span class="op">.</span><span class="nam">rand</span><span class="op">(</span><span class="num">1</span><span class="op">)</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t136" href="#t136">136</a></span><span class="t">                <span class="nam">L</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">dtype_f</span><span class="op">(</span><span class="nam">init</span><span class="op">=</span><span class="nam">P</span><span class="op">.</span><span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="nam">np</span><span class="op">.</span><span class="nam">random</span><span class="op">.</span><span class="nam">rand</span><span class="op">(</span><span class="num">1</span><span class="op">)</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t137" href="#t137">137</a></span><span class="t">            <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="exc show_exc"><span class="n"><a id="t138" href="#t138">138</a></span><span class="t">                <span class="key">raise</span> <span class="nam">ParameterError</span><span class="op">(</span><span class="fst">f'</span><span class="fst">initial_guess option </span><span class="op">{</span><span class="nam">self</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">initial_guess</span><span class="op">}</span><span class="fst"> not implemented</span><span class="fst">'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t139" href="#t139">139</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t140" href="#t140">140</a></span><span class="t">        <span class="com"># indicate that this level is now ready for sweeps</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t141" href="#t141">141</a></span><span class="t">        <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">unlocked</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t142" href="#t142">142</a></span><span class="t">        <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">updated</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t143" href="#t143">143</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t144" href="#t144">144</a></span><span class="t">    <span class="key">def</span> <span class="nam">compute_residual</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">stage</span><span class="op">=</span><span class="key">None</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t145" href="#t145">145</a></span><span class="t">        <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t146" href="#t146">146</a></span><span class="t"><span class="str">        Uses the absolute value of the DAE system</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t147" href="#t147">147</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t148" href="#t148">148</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t149" href="#t149">149</a></span><span class="t"><span class="str">            ||F(t, u, u')||</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t150" href="#t150">150</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t151" href="#t151">151</a></span><span class="t"><span class="str">        for computing the residual in a chosen norm.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t152" href="#t152">152</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t153" href="#t153">153</a></span><span class="t"><span class="str">        Parameters</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t154" href="#t154">154</a></span><span class="t"><span class="str">        ----------</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t155" href="#t155">155</a></span><span class="t"><span class="str">        stage : str, optional</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t156" href="#t156">156</a></span><span class="t"><span class="str">            The current stage of the step the level belongs to.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t157" href="#t157">157</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t158" href="#t158">158</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t159" href="#t159">159</a></span><span class="t">        <span class="com"># get current level and problem description</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t160" href="#t160">160</a></span><span class="t">        <span class="nam">L</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">level</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t161" href="#t161">161</a></span><span class="t">        <span class="nam">P</span> <span class="op">=</span> <span class="nam">L</span><span class="op">.</span><span class="nam">prob</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t162" href="#t162">162</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t163" href="#t163">163</a></span><span class="t">        <span class="com"># Check if we want to skip the residual computation to gain performance</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t164" href="#t164">164</a></span><span class="t">        <span class="com"># Keep in mind that skipping any residual computation is likely to give incorrect outputs of the residual!</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t165" href="#t165">165</a></span><span class="t">        <span class="key">if</span> <span class="nam">stage</span> <span class="key">in</span> <span class="nam">self</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">skip_residual_computation</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t166" href="#t166">166</a></span><span class="t">            <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">residual</span> <span class="op">=</span> <span class="num">0.0</span> <span class="key">if</span> <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">residual</span> <span class="key">is</span> <span class="key">None</span> <span class="key">else</span> <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">residual</span>&nbsp;</span><span class="r"></span></p>
-    <p class="mis show_mis"><span class="n"><a id="t167" href="#t167">167</a></span><span class="t">            <span class="key">return</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t168" href="#t168">168</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t169" href="#t169">169</a></span><span class="t">        <span class="com"># compute the residual for each node</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t170" href="#t170">170</a></span><span class="t">        <span class="nam">res_norm</span> <span class="op">=</span> <span class="op">[</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t171" href="#t171">171</a></span><span class="t">        <span class="key">for</span> <span class="nam">m</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_nodes</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t172" href="#t172">172</a></span><span class="t">            <span class="com"># use abs function from data type here</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t173" href="#t173">173</a></span><span class="t">            <span class="nam">res_norm</span><span class="op">.</span><span class="nam">append</span><span class="op">(</span><span class="nam">abs</span><span class="op">(</span><span class="nam">P</span><span class="op">.</span><span class="nam">eval_f</span><span class="op">(</span><span class="nam">L</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">,</span> <span class="nam">L</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">,</span> <span class="nam">L</span><span class="op">.</span><span class="nam">time</span> <span class="op">+</span> <span class="nam">L</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span><span class="op">)</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t174" href="#t174">174</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t175" href="#t175">175</a></span><span class="t">        <span class="com"># find maximal residual over the nodes</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t176" href="#t176">176</a></span><span class="t">        <span class="key">if</span> <span class="nam">L</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">residual_type</span> <span class="op">==</span> <span class="str">'full_abs'</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t177" href="#t177">177</a></span><span class="t">            <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">residual</span> <span class="op">=</span> <span class="nam">max</span><span class="op">(</span><span class="nam">res_norm</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t178" href="#t178">178</a></span><span class="t">        <span class="key">elif</span> <span class="nam">L</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">residual_type</span> <span class="op">==</span> <span class="str">'last_abs'</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t179" href="#t179">179</a></span><span class="t">            <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">residual</span> <span class="op">=</span> <span class="nam">res_norm</span><span class="op">[</span><span class="op">-</span><span class="num">1</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t180" href="#t180">180</a></span><span class="t">        <span class="key">elif</span> <span class="nam">L</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">residual_type</span> <span class="op">==</span> <span class="str">'full_rel'</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t181" href="#t181">181</a></span><span class="t">            <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">residual</span> <span class="op">=</span> <span class="nam">max</span><span class="op">(</span><span class="nam">res_norm</span><span class="op">)</span> <span class="op">/</span> <span class="nam">abs</span><span class="op">(</span><span class="nam">L</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t182" href="#t182">182</a></span><span class="t">        <span class="key">elif</span> <span class="nam">L</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">residual_type</span> <span class="op">==</span> <span class="str">'last_rel'</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t183" href="#t183">183</a></span><span class="t">            <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">residual</span> <span class="op">=</span> <span class="nam">res_norm</span><span class="op">[</span><span class="op">-</span><span class="num">1</span><span class="op">]</span> <span class="op">/</span> <span class="nam">abs</span><span class="op">(</span><span class="nam">L</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t184" href="#t184">184</a></span><span class="t">        <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="exc show_exc"><span class="n"><a id="t185" href="#t185">185</a></span><span class="t">            <span class="key">raise</span> <span class="nam">ParameterError</span><span class="op">(</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t186" href="#t186">186</a></span><span class="t">                <span class="fst">f'</span><span class="fst">residual_type = </span><span class="op">{</span><span class="nam">L</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">residual_type</span><span class="op">}</span><span class="fst"> not implemented, choose </span><span class="fst">'</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t187" href="#t187">187</a></span><span class="t">                <span class="fst">f'</span><span class="fst">full_abs, last_abs, full_rel or last_rel instead</span><span class="fst">'</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t188" href="#t188">188</a></span><span class="t">            <span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t189" href="#t189">189</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t190" href="#t190">190</a></span><span class="t">        <span class="com"># indicate that the residual has seen the new values</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t191" href="#t191">191</a></span><span class="t">        <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">updated</span> <span class="op">=</span> <span class="key">False</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t192" href="#t192">192</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t193" href="#t193">193</a></span><span class="t">        <span class="key">return</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t194" href="#t194">194</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t195" href="#t195">195</a></span><span class="t">    <span class="key">def</span> <span class="nam">compute_end_point</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t196" href="#t196">196</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t197" href="#t197">197</a></span><span class="t"><span class="str">        Compute u at the right point of the interval.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t198" href="#t198">198</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t199" href="#t199">199</a></span><span class="t"><span class="str">        The value uend computed here is a full evaluation of the Picard formulation unless do_full_update==False</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t200" href="#t200">200</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t201" href="#t201">201</a></span><span class="t"><span class="str">        Returns:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t202" href="#t202">202</a></span><span class="t"><span class="str">            None</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t203" href="#t203">203</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t204" href="#t204">204</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t205" href="#t205">205</a></span><span class="t">        <span class="key">if</span> <span class="key">not</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">right_is_node</span> <span class="key">or</span> <span class="nam">self</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">do_coll_update</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="exc show_exc"><span class="n"><a id="t206" href="#t206">206</a></span><span class="t">            <span class="key">raise</span> <span class="nam">NotImplementedError</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t207" href="#t207">207</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t208" href="#t208">208</a></span><span class="t">        <span class="nam">super</span><span class="op">(</span><span class="op">)</span><span class="op">.</span><span class="nam">compute_end_point</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t209" href="#t209">209</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t210" href="#t210">210</a></span><span class="t">    <span class="op">@</span><span class="nam">staticmethod</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t211" href="#t211">211</a></span><span class="t">    <span class="key">def</span> <span class="nam">F</span><span class="op">(</span><span class="nam">du</span><span class="op">,</span> <span class="nam">P</span><span class="op">,</span> <span class="nam">factor</span><span class="op">,</span> <span class="nam">u_approx</span><span class="op">,</span> <span class="nam">t</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t212" href="#t212">212</a></span><span class="t">        <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t213" href="#t213">213</a></span><span class="t"><span class="str">        This function builds the implicit system to be solved for a DAE of the form</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t214" href="#t214">214</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t215" href="#t215">215</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t216" href="#t216">216</a></span><span class="t"><span class="str">            0 = F(u, u', t)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t217" href="#t217">217</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t218" href="#t218">218</a></span><span class="t"><span class="str">        Applying SDC yields the (non)-linear system to be solved</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t219" href="#t219">219</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t220" href="#t220">220</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t221" href="#t221">221</a></span><span class="t"><span class="str">            0 = F(u_0 + \sum_{j=1}^M (q_{mj}-\tilde{q}_{mj}) U_j</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t222" href="#t222">222</a></span><span class="t"><span class="str">            + \sum_{j=1}^m \tilde{q}_{mj} U_j, U_m, \tau_m),</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t223" href="#t223">223</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t224" href="#t224">224</a></span><span class="t"><span class="str">        which is solved for the derivative of u.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t225" href="#t225">225</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t226" href="#t226">226</a></span><span class="t"><span class="str">        Note</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t227" href="#t227">227</a></span><span class="t"><span class="str">        ----</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t228" href="#t228">228</a></span><span class="t"><span class="str">        This function is also used for Runge-Kutta methods since only</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t229" href="#t229">229</a></span><span class="t"><span class="str">        the argument ``u_approx`` differs. However, the implicit system to be solved</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t230" href="#t230">230</a></span><span class="t"><span class="str">        is the same.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t231" href="#t231">231</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t232" href="#t232">232</a></span><span class="t"><span class="str">        Parameters</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t233" href="#t233">233</a></span><span class="t"><span class="str">        ----------</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t234" href="#t234">234</a></span><span class="t"><span class="str">        du : dtype_u</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t235" href="#t235">235</a></span><span class="t"><span class="str">            Unknowns of the system (derivative of solution u).</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t236" href="#t236">236</a></span><span class="t"><span class="str">        P : pySDC.projects.DAE.misc.ProblemDAE</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t237" href="#t237">237</a></span><span class="t"><span class="str">            Problem class.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t238" href="#t238">238</a></span><span class="t"><span class="str">        factor : float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t239" href="#t239">239</a></span><span class="t"><span class="str">            Abbrev. for the node-to-node stepsize.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t240" href="#t240">240</a></span><span class="t"><span class="str">        u_approx : dtype_u</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t241" href="#t241">241</a></span><span class="t"><span class="str">            Approximation to numerical solution :math:`u`.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t242" href="#t242">242</a></span><span class="t"><span class="str">        t : float</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t243" href="#t243">243</a></span><span class="t"><span class="str">            Current time :math:`t`.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t244" href="#t244">244</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t245" href="#t245">245</a></span><span class="t"><span class="str">        Returns</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t246" href="#t246">246</a></span><span class="t"><span class="str">        -------</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t247" href="#t247">247</a></span><span class="t"><span class="str">        sys : dtype_f</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t248" href="#t248">248</a></span><span class="t"><span class="str">            System to be solved.</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t249" href="#t249">249</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t250" href="#t250">250</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t251" href="#t251">251</a></span><span class="t">        <span class="nam">local_du_approx</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">dtype_f</span><span class="op">(</span><span class="nam">du</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t252" href="#t252">252</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="exc show_exc"><span class="n"><a id="t253" href="#t253">253</a></span><span class="t">        <span class="com"># build parameters to pass to implicit function</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t254" href="#t254">254</a></span><span class="t">        <span class="nam">local_u_approx</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">dtype_f</span><span class="op">(</span><span class="nam">u_approx</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t255" href="#t255">255</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t256" href="#t256">256</a></span><span class="t">        <span class="com"># note that derivatives of algebraic variables are taken into account here too</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t257" href="#t257">257</a></span><span class="t">        <span class="com"># these do not directly affect the output of eval_f but rather indirectly via QI</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t258" href="#t258">258</a></span><span class="t">        <span class="nam">local_u_approx</span> <span class="op">+=</span> <span class="nam">factor</span> <span class="op">*</span> <span class="nam">local_du_approx</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t259" href="#t259">259</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t260" href="#t260">260</a></span><span class="t">        <span class="nam">sys</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">eval_f</span><span class="op">(</span><span class="nam">local_u_approx</span><span class="op">,</span> <span class="nam">local_du_approx</span><span class="op">,</span> <span class="nam">t</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t261" href="#t261">261</a></span><span class="t">        <span class="key">return</span> <span class="nam">sys</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t8" href="#t8">8</a></span><span class="t"><span class="key">class</span> <span class="nam">FullyImplicitDAE</span><span class="op">(</span><span class="nam">generic_implicit</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="exc show_exc"><span class="n"><a id="t9" href="#t9">9</a></span><span class="t">    <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t10" href="#t10">10</a></span><span class="t"><span class="str">    Custom sweeper class to implement the fully-implicit SDC for solving DAEs. It solves fully-implicit DAE problems</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t11" href="#t11">11</a></span><span class="t"><span class="str">    of the form</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t12" href="#t12">12</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t13" href="#t13">13</a></span><span class="t"><span class="str">    .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t14" href="#t14">14</a></span><span class="t"><span class="str">        F(t, u, u') = 0.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t15" href="#t15">15</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t16" href="#t16">16</a></span><span class="t"><span class="str">    It solves a collocation problem of the form</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t17" href="#t17">17</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t18" href="#t18">18</a></span><span class="t"><span class="str">    .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t19" href="#t19">19</a></span><span class="t"><span class="str">        F(\tau, \vec{U}_0 + \Delta t (\mathbf{Q} \otimes \mathbf{I}_n) \vec{U}, \vec{U}) = 0,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t20" href="#t20">20</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t21" href="#t21">21</a></span><span class="t"><span class="str">    where</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t22" href="#t22">22</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t23" href="#t23">23</a></span><span class="t"><span class="str">    - :math:`\tau=(\tau_1,..,\tau_M) in \mathbb{R}^M` the vector of collocation nodes,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t24" href="#t24">24</a></span><span class="t"><span class="str">    - :math:`\vec{U}_0 = (u_0,..,u_0) \in \mathbb{R}^{Mn}` the vector of initial condition spread to each node,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t25" href="#t25">25</a></span><span class="t"><span class="str">    - spectral integration matrix :math:`\mathbf{Q} \in \mathbb{R}^{M \times M}`,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t26" href="#t26">26</a></span><span class="t"><span class="str">    - :math:`\vec{U}=(U_1,..,U_M) \in \mathbb{R}^{Mn}` the vector of unknown derivatives</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t27" href="#t27">27</a></span><span class="t"><span class="str">      :math:`U_m \approx U(\tau_m) = u'(\tau_m) \in \mathbb{R}^n`,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t28" href="#t28">28</a></span><span class="t"><span class="str">    - and identity matrix :math:`\mathbf{I}_n \in \mathbb{R}^{n \times n}`.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t29" href="#t29">29</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t30" href="#t30">30</a></span><span class="t"><span class="str">    The construction of this sweeper is based on the concepts outlined in [1]_.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t31" href="#t31">31</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t32" href="#t32">32</a></span><span class="t"><span class="str">    Parameters</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t33" href="#t33">33</a></span><span class="t"><span class="str">    ----------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t34" href="#t34">34</a></span><span class="t"><span class="str">    params : dict</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t35" href="#t35">35</a></span><span class="t"><span class="str">        Parameters passed to the sweeper.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t36" href="#t36">36</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t37" href="#t37">37</a></span><span class="t"><span class="str">    Attributes</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t38" href="#t38">38</a></span><span class="t"><span class="str">    ----------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t39" href="#t39">39</a></span><span class="t"><span class="str">    QI : np.2darray</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t40" href="#t40">40</a></span><span class="t"><span class="str">        Implicit Euler integration matrix.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t41" href="#t41">41</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t42" href="#t42">42</a></span><span class="t"><span class="str">    References</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t43" href="#t43">43</a></span><span class="t"><span class="str">    ----------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t44" href="#t44">44</a></span><span class="t"><span class="str">    .. [1] J. Huang, J. Jun, M. L. Minion. Arbitrary order Krylov deferred correction methods for differential algebraic equation.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t45" href="#t45">45</a></span><span class="t"><span class="str">       J. Comput. Phys. Vol. 221 No. 2 (2007).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t46" href="#t46">46</a></span><span class="t"><span class="str">    """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t47" href="#t47">47</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t48" href="#t48">48</a></span><span class="t">    <span class="key">def</span> <span class="nam">__init__</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">params</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t49" href="#t49">49</a></span><span class="t">        <span class="str">"""Initialization routine"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t50" href="#t50">50</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t51" href="#t51">51</a></span><span class="t">        <span class="key">if</span> <span class="str">'QI'</span> <span class="key">not</span> <span class="key">in</span> <span class="nam">params</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t52" href="#t52">52</a></span><span class="t">            <span class="nam">params</span><span class="op">[</span><span class="str">'QI'</span><span class="op">]</span> <span class="op">=</span> <span class="str">'IE'</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t53" href="#t53">53</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t54" href="#t54">54</a></span><span class="t">        <span class="com"># call parent's initialization routine</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t55" href="#t55">55</a></span><span class="t">        <span class="nam">super</span><span class="op">(</span><span class="op">)</span><span class="op">.</span><span class="nam">__init__</span><span class="op">(</span><span class="nam">params</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t56" href="#t56">56</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t57" href="#t57">57</a></span><span class="t">        <span class="nam">msg</span> <span class="op">=</span> <span class="fst">f"</span><span class="fst">Quadrature type </span><span class="op">{</span><span class="nam">self</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">quad_type</span><span class="op">}</span><span class="fst"> is not implemented yet. Use 'RADAU-RIGHT' instead!</span><span class="fst">"</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t58" href="#t58">58</a></span><span class="t">        <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">left_is_node</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="exc show_exc"><span class="n"><a id="t59" href="#t59">59</a></span><span class="t">            <span class="key">raise</span> <span class="nam">ParameterError</span><span class="op">(</span><span class="nam">msg</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t60" href="#t60">60</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t61" href="#t61">61</a></span><span class="t">        <span class="nam">self</span><span class="op">.</span><span class="nam">QI</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">get_Qdelta_implicit</span><span class="op">(</span><span class="nam">qd_type</span><span class="op">=</span><span class="nam">self</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">QI</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t62" href="#t62">62</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t63" href="#t63">63</a></span><span class="t">    <span class="key">def</span> <span class="nam">update_nodes</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t64" href="#t64">64</a></span><span class="t">        <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t65" href="#t65">65</a></span><span class="t"><span class="str">        Updates values of ``u`` and ``f`` at collocation nodes. This correspond to a single iteration of the</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t66" href="#t66">66</a></span><span class="t"><span class="str">        preconditioned Richardson iteration in **"ordinary"** SDC.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t67" href="#t67">67</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t68" href="#t68">68</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t69" href="#t69">69</a></span><span class="t">        <span class="nam">L</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">level</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t70" href="#t70">70</a></span><span class="t">        <span class="nam">P</span> <span class="op">=</span> <span class="nam">L</span><span class="op">.</span><span class="nam">prob</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t71" href="#t71">71</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t72" href="#t72">72</a></span><span class="t">        <span class="com"># only if the level has been touched before</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t73" href="#t73">73</a></span><span class="t">        <span class="key">assert</span> <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">unlocked</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t74" href="#t74">74</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t75" href="#t75">75</a></span><span class="t">        <span class="nam">M</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_nodes</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t76" href="#t76">76</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t77" href="#t77">77</a></span><span class="t">        <span class="com"># get QU^k where U = u'</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t78" href="#t78">78</a></span><span class="t">        <span class="nam">integral</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">integrate</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t79" href="#t79">79</a></span><span class="t">        <span class="com"># build the rest of the known solution u_0 + del_t(Q - Q_del)U_k</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t80" href="#t80">80</a></span><span class="t">        <span class="key">for</span> <span class="nam">m</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">M</span> <span class="op">+</span> <span class="num">1</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t81" href="#t81">81</a></span><span class="t">            <span class="key">for</span> <span class="nam">j</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">M</span> <span class="op">+</span> <span class="num">1</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t82" href="#t82">82</a></span><span class="t">                <span class="nam">integral</span><span class="op">[</span><span class="nam">m</span> <span class="op">-</span> <span class="num">1</span><span class="op">]</span> <span class="op">-=</span> <span class="nam">L</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">QI</span><span class="op">[</span><span class="nam">m</span><span class="op">,</span> <span class="nam">j</span><span class="op">]</span> <span class="op">*</span> <span class="nam">L</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">j</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t83" href="#t83">83</a></span><span class="t">            <span class="nam">integral</span><span class="op">[</span><span class="nam">m</span> <span class="op">-</span> <span class="num">1</span><span class="op">]</span> <span class="op">+=</span> <span class="nam">L</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="num">0</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t84" href="#t84">84</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t85" href="#t85">85</a></span><span class="t">        <span class="com"># do the sweep</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t86" href="#t86">86</a></span><span class="t">        <span class="key">for</span> <span class="nam">m</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">M</span> <span class="op">+</span> <span class="num">1</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t87" href="#t87">87</a></span><span class="t">            <span class="com"># add the known components from current sweep del_t*Q_del*U_k+1</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t88" href="#t88">88</a></span><span class="t">            <span class="nam">u_approx</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">integral</span><span class="op">[</span><span class="nam">m</span> <span class="op">-</span> <span class="num">1</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t89" href="#t89">89</a></span><span class="t">            <span class="key">for</span> <span class="nam">j</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">m</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t90" href="#t90">90</a></span><span class="t">                <span class="nam">u_approx</span> <span class="op">+=</span> <span class="nam">L</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">QI</span><span class="op">[</span><span class="nam">m</span><span class="op">,</span> <span class="nam">j</span><span class="op">]</span> <span class="op">*</span> <span class="nam">L</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">j</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t91" href="#t91">91</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t92" href="#t92">92</a></span><span class="t">            <span class="com"># update gradient (recall L.f is being used to store the gradient)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t93" href="#t93">93</a></span><span class="t">            <span class="nam">L</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">solve_system</span><span class="op">(</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t94" href="#t94">94</a></span><span class="t">                <span class="nam">self</span><span class="op">.</span><span class="nam">F</span><span class="op">,</span> <span class="nam">u_approx</span><span class="op">,</span> <span class="nam">L</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">QI</span><span class="op">[</span><span class="nam">m</span><span class="op">,</span> <span class="nam">m</span><span class="op">]</span><span class="op">,</span> <span class="nam">L</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span><span class="op">,</span> <span class="nam">L</span><span class="op">.</span><span class="nam">time</span> <span class="op">+</span> <span class="nam">L</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="nam">m</span> <span class="op">-</span> <span class="num">1</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t95" href="#t95">95</a></span><span class="t">            <span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t96" href="#t96">96</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t97" href="#t97">97</a></span><span class="t">        <span class="com"># Update solution approximation</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t98" href="#t98">98</a></span><span class="t">        <span class="nam">integral</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">integrate</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t99" href="#t99">99</a></span><span class="t">        <span class="key">for</span> <span class="nam">m</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="nam">M</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t100" href="#t100">100</a></span><span class="t">            <span class="nam">L</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span> <span class="op">=</span> <span class="nam">L</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="num">0</span><span class="op">]</span> <span class="op">+</span> <span class="nam">integral</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t101" href="#t101">101</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t102" href="#t102">102</a></span><span class="t">        <span class="com"># indicate presence of new values at this level</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t103" href="#t103">103</a></span><span class="t">        <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">updated</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t104" href="#t104">104</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t105" href="#t105">105</a></span><span class="t">        <span class="key">return</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t106" href="#t106">106</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t107" href="#t107">107</a></span><span class="t">    <span class="key">def</span> <span class="nam">predict</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t108" href="#t108">108</a></span><span class="t">        <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t109" href="#t109">109</a></span><span class="t"><span class="str">        Predictor to fill values at nodes before first sweep. It can decide whether the</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t110" href="#t110">110</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t111" href="#t111">111</a></span><span class="t"><span class="str">            - initial condition is spread to each node ('initial_guess' = 'spread'),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t112" href="#t112">112</a></span><span class="t"><span class="str">            - zero values are spread to each node ('initial_guess' = 'zero'),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t113" href="#t113">113</a></span><span class="t"><span class="str">            - or random values are spread to each collocation node ('initial_guess' = 'random').</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t114" href="#t114">114</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t115" href="#t115">115</a></span><span class="t"><span class="str">        Default prediction for the sweepers, only copies the values to all collocation nodes. This function</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t116" href="#t116">116</a></span><span class="t"><span class="str">        overrides the base implementation by always initialising ``level.f`` to zero. This is necessary since</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t117" href="#t117">117</a></span><span class="t"><span class="str">        ``level.f`` stores the solution derivative in the fully implicit case, which is not initially known.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t118" href="#t118">118</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t119" href="#t119">119</a></span><span class="t">        <span class="com"># get current level and problem description</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t120" href="#t120">120</a></span><span class="t">        <span class="nam">L</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">level</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t121" href="#t121">121</a></span><span class="t">        <span class="nam">P</span> <span class="op">=</span> <span class="nam">L</span><span class="op">.</span><span class="nam">prob</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t122" href="#t122">122</a></span><span class="t">        <span class="com"># set initial guess for gradient to zero</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t123" href="#t123">123</a></span><span class="t">        <span class="nam">L</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="num">0</span><span class="op">]</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">dtype_f</span><span class="op">(</span><span class="nam">init</span><span class="op">=</span><span class="nam">P</span><span class="op">.</span><span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="num">0.0</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t124" href="#t124">124</a></span><span class="t">        <span class="key">for</span> <span class="nam">m</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="num">1</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_nodes</span> <span class="op">+</span> <span class="num">1</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t125" href="#t125">125</a></span><span class="t">            <span class="com"># copy u[0] to all collocation nodes and set f (the gradient) to zero</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t126" href="#t126">126</a></span><span class="t">            <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">initial_guess</span> <span class="op">==</span> <span class="str">'spread'</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t127" href="#t127">127</a></span><span class="t">                <span class="nam">L</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">L</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t128" href="#t128">128</a></span><span class="t">                <span class="nam">L</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">dtype_f</span><span class="op">(</span><span class="nam">init</span><span class="op">=</span><span class="nam">P</span><span class="op">.</span><span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="num">0.0</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t129" href="#t129">129</a></span><span class="t">            <span class="key">elif</span> <span class="nam">self</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">initial_guess</span> <span class="op">==</span> <span class="str">'zero'</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t130" href="#t130">130</a></span><span class="t">                <span class="nam">L</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">init</span><span class="op">=</span><span class="nam">P</span><span class="op">.</span><span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="num">0.0</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t131" href="#t131">131</a></span><span class="t">                <span class="nam">L</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">dtype_f</span><span class="op">(</span><span class="nam">init</span><span class="op">=</span><span class="nam">P</span><span class="op">.</span><span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="num">0.0</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t132" href="#t132">132</a></span><span class="t">            <span class="com"># start with random initial guess</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t133" href="#t133">133</a></span><span class="t">            <span class="key">elif</span> <span class="nam">self</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">initial_guess</span> <span class="op">==</span> <span class="str">'random'</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t134" href="#t134">134</a></span><span class="t">                <span class="nam">L</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">dtype_u</span><span class="op">(</span><span class="nam">init</span><span class="op">=</span><span class="nam">P</span><span class="op">.</span><span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="nam">np</span><span class="op">.</span><span class="nam">random</span><span class="op">.</span><span class="nam">rand</span><span class="op">(</span><span class="num">1</span><span class="op">)</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t135" href="#t135">135</a></span><span class="t">                <span class="nam">L</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">dtype_f</span><span class="op">(</span><span class="nam">init</span><span class="op">=</span><span class="nam">P</span><span class="op">.</span><span class="nam">init</span><span class="op">,</span> <span class="nam">val</span><span class="op">=</span><span class="nam">np</span><span class="op">.</span><span class="nam">random</span><span class="op">.</span><span class="nam">rand</span><span class="op">(</span><span class="num">1</span><span class="op">)</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t136" href="#t136">136</a></span><span class="t">            <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="exc show_exc"><span class="n"><a id="t137" href="#t137">137</a></span><span class="t">                <span class="key">raise</span> <span class="nam">ParameterError</span><span class="op">(</span><span class="fst">f'</span><span class="fst">initial_guess option </span><span class="op">{</span><span class="nam">self</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">initial_guess</span><span class="op">}</span><span class="fst"> not implemented</span><span class="fst">'</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t138" href="#t138">138</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t139" href="#t139">139</a></span><span class="t">        <span class="com"># indicate that this level is now ready for sweeps</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t140" href="#t140">140</a></span><span class="t">        <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">unlocked</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t141" href="#t141">141</a></span><span class="t">        <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">updated</span> <span class="op">=</span> <span class="key">True</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t142" href="#t142">142</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t143" href="#t143">143</a></span><span class="t">    <span class="key">def</span> <span class="nam">compute_residual</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">stage</span><span class="op">=</span><span class="key">None</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t144" href="#t144">144</a></span><span class="t">        <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t145" href="#t145">145</a></span><span class="t"><span class="str">        Uses the absolute value of the DAE system</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t146" href="#t146">146</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t147" href="#t147">147</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t148" href="#t148">148</a></span><span class="t"><span class="str">            ||F(t, u, u')||</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t149" href="#t149">149</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t150" href="#t150">150</a></span><span class="t"><span class="str">        for computing the residual in a chosen norm.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t151" href="#t151">151</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t152" href="#t152">152</a></span><span class="t"><span class="str">        Parameters</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t153" href="#t153">153</a></span><span class="t"><span class="str">        ----------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t154" href="#t154">154</a></span><span class="t"><span class="str">        stage : str, optional</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t155" href="#t155">155</a></span><span class="t"><span class="str">            The current stage of the step the level belongs to.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t156" href="#t156">156</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t157" href="#t157">157</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t158" href="#t158">158</a></span><span class="t">        <span class="com"># get current level and problem description</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t159" href="#t159">159</a></span><span class="t">        <span class="nam">L</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">level</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t160" href="#t160">160</a></span><span class="t">        <span class="nam">P</span> <span class="op">=</span> <span class="nam">L</span><span class="op">.</span><span class="nam">prob</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t161" href="#t161">161</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t162" href="#t162">162</a></span><span class="t">        <span class="com"># Check if we want to skip the residual computation to gain performance</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t163" href="#t163">163</a></span><span class="t">        <span class="com"># Keep in mind that skipping any residual computation is likely to give incorrect outputs of the residual!</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t164" href="#t164">164</a></span><span class="t">        <span class="key">if</span> <span class="nam">stage</span> <span class="key">in</span> <span class="nam">self</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">skip_residual_computation</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t165" href="#t165">165</a></span><span class="t">            <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">residual</span> <span class="op">=</span> <span class="num">0.0</span> <span class="key">if</span> <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">residual</span> <span class="key">is</span> <span class="key">None</span> <span class="key">else</span> <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">residual</span>&nbsp;</span><span class="r"></span></p>
+    <p class="mis show_mis"><span class="n"><a id="t166" href="#t166">166</a></span><span class="t">            <span class="key">return</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t167" href="#t167">167</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t168" href="#t168">168</a></span><span class="t">        <span class="com"># compute the residual for each node</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t169" href="#t169">169</a></span><span class="t">        <span class="nam">res_norm</span> <span class="op">=</span> <span class="op">[</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t170" href="#t170">170</a></span><span class="t">        <span class="key">for</span> <span class="nam">m</span> <span class="key">in</span> <span class="nam">range</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">num_nodes</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t171" href="#t171">171</a></span><span class="t">            <span class="com"># use abs function from data type here</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t172" href="#t172">172</a></span><span class="t">            <span class="nam">res_norm</span><span class="op">.</span><span class="nam">append</span><span class="op">(</span><span class="nam">abs</span><span class="op">(</span><span class="nam">P</span><span class="op">.</span><span class="nam">eval_f</span><span class="op">(</span><span class="nam">L</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">,</span> <span class="nam">L</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">,</span> <span class="nam">L</span><span class="op">.</span><span class="nam">time</span> <span class="op">+</span> <span class="nam">L</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">nodes</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span><span class="op">)</span><span class="op">)</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t173" href="#t173">173</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t174" href="#t174">174</a></span><span class="t">        <span class="com"># find maximal residual over the nodes</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t175" href="#t175">175</a></span><span class="t">        <span class="key">if</span> <span class="nam">L</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">residual_type</span> <span class="op">==</span> <span class="str">'full_abs'</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t176" href="#t176">176</a></span><span class="t">            <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">residual</span> <span class="op">=</span> <span class="nam">max</span><span class="op">(</span><span class="nam">res_norm</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t177" href="#t177">177</a></span><span class="t">        <span class="key">elif</span> <span class="nam">L</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">residual_type</span> <span class="op">==</span> <span class="str">'last_abs'</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t178" href="#t178">178</a></span><span class="t">            <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">residual</span> <span class="op">=</span> <span class="nam">res_norm</span><span class="op">[</span><span class="op">-</span><span class="num">1</span><span class="op">]</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t179" href="#t179">179</a></span><span class="t">        <span class="key">elif</span> <span class="nam">L</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">residual_type</span> <span class="op">==</span> <span class="str">'full_rel'</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t180" href="#t180">180</a></span><span class="t">            <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">residual</span> <span class="op">=</span> <span class="nam">max</span><span class="op">(</span><span class="nam">res_norm</span><span class="op">)</span> <span class="op">/</span> <span class="nam">abs</span><span class="op">(</span><span class="nam">L</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t181" href="#t181">181</a></span><span class="t">        <span class="key">elif</span> <span class="nam">L</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">residual_type</span> <span class="op">==</span> <span class="str">'last_rel'</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t182" href="#t182">182</a></span><span class="t">            <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">residual</span> <span class="op">=</span> <span class="nam">res_norm</span><span class="op">[</span><span class="op">-</span><span class="num">1</span><span class="op">]</span> <span class="op">/</span> <span class="nam">abs</span><span class="op">(</span><span class="nam">L</span><span class="op">.</span><span class="nam">u</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t183" href="#t183">183</a></span><span class="t">        <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="exc show_exc"><span class="n"><a id="t184" href="#t184">184</a></span><span class="t">            <span class="key">raise</span> <span class="nam">ParameterError</span><span class="op">(</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t185" href="#t185">185</a></span><span class="t">                <span class="fst">f'</span><span class="fst">residual_type = </span><span class="op">{</span><span class="nam">L</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">residual_type</span><span class="op">}</span><span class="fst"> not implemented, choose </span><span class="fst">'</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t186" href="#t186">186</a></span><span class="t">                <span class="fst">f'</span><span class="fst">full_abs, last_abs, full_rel or last_rel instead</span><span class="fst">'</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t187" href="#t187">187</a></span><span class="t">            <span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t188" href="#t188">188</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t189" href="#t189">189</a></span><span class="t">        <span class="com"># indicate that the residual has seen the new values</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t190" href="#t190">190</a></span><span class="t">        <span class="nam">L</span><span class="op">.</span><span class="nam">status</span><span class="op">.</span><span class="nam">updated</span> <span class="op">=</span> <span class="key">False</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t191" href="#t191">191</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t192" href="#t192">192</a></span><span class="t">        <span class="key">return</span> <span class="key">None</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t193" href="#t193">193</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t194" href="#t194">194</a></span><span class="t">    <span class="key">def</span> <span class="nam">compute_end_point</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t195" href="#t195">195</a></span><span class="t">        <span class="str">"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t196" href="#t196">196</a></span><span class="t"><span class="str">        Compute u at the right point of the interval.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t197" href="#t197">197</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t198" href="#t198">198</a></span><span class="t"><span class="str">        The value uend computed here is a full evaluation of the Picard formulation unless do_full_update==False</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t199" href="#t199">199</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t200" href="#t200">200</a></span><span class="t"><span class="str">        Returns:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t201" href="#t201">201</a></span><span class="t"><span class="str">            None</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t202" href="#t202">202</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t203" href="#t203">203</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t204" href="#t204">204</a></span><span class="t">        <span class="key">if</span> <span class="key">not</span> <span class="nam">self</span><span class="op">.</span><span class="nam">coll</span><span class="op">.</span><span class="nam">right_is_node</span> <span class="key">or</span> <span class="nam">self</span><span class="op">.</span><span class="nam">params</span><span class="op">.</span><span class="nam">do_coll_update</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="exc show_exc"><span class="n"><a id="t205" href="#t205">205</a></span><span class="t">            <span class="key">raise</span> <span class="nam">NotImplementedError</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t206" href="#t206">206</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t207" href="#t207">207</a></span><span class="t">        <span class="nam">super</span><span class="op">(</span><span class="op">)</span><span class="op">.</span><span class="nam">compute_end_point</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t208" href="#t208">208</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t209" href="#t209">209</a></span><span class="t">    <span class="op">@</span><span class="nam">staticmethod</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t210" href="#t210">210</a></span><span class="t">    <span class="key">def</span> <span class="nam">F</span><span class="op">(</span><span class="nam">du</span><span class="op">,</span> <span class="nam">P</span><span class="op">,</span> <span class="nam">factor</span><span class="op">,</span> <span class="nam">u_approx</span><span class="op">,</span> <span class="nam">t</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t211" href="#t211">211</a></span><span class="t">        <span class="str">r"""</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t212" href="#t212">212</a></span><span class="t"><span class="str">        This function builds the implicit system to be solved for a DAE of the form</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t213" href="#t213">213</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t214" href="#t214">214</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t215" href="#t215">215</a></span><span class="t"><span class="str">            0 = F(u, u', t)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t216" href="#t216">216</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t217" href="#t217">217</a></span><span class="t"><span class="str">        Applying SDC yields the (non)-linear system to be solved</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t218" href="#t218">218</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t219" href="#t219">219</a></span><span class="t"><span class="str">        .. math::</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t220" href="#t220">220</a></span><span class="t"><span class="str">            0 = F(u_0 + \sum_{j=1}^M (q_{mj}-\tilde{q}_{mj}) U_j</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t221" href="#t221">221</a></span><span class="t"><span class="str">            + \sum_{j=1}^m \tilde{q}_{mj} U_j, U_m, \tau_m),</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t222" href="#t222">222</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t223" href="#t223">223</a></span><span class="t"><span class="str">        which is solved for the derivative of u.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t224" href="#t224">224</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t225" href="#t225">225</a></span><span class="t"><span class="str">        Note</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t226" href="#t226">226</a></span><span class="t"><span class="str">        ----</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t227" href="#t227">227</a></span><span class="t"><span class="str">        This function is also used for Runge-Kutta methods since only</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t228" href="#t228">228</a></span><span class="t"><span class="str">        the argument ``u_approx`` differs. However, the implicit system to be solved</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t229" href="#t229">229</a></span><span class="t"><span class="str">        is the same.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t230" href="#t230">230</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t231" href="#t231">231</a></span><span class="t"><span class="str">        Parameters</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t232" href="#t232">232</a></span><span class="t"><span class="str">        ----------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t233" href="#t233">233</a></span><span class="t"><span class="str">        du : dtype_u</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t234" href="#t234">234</a></span><span class="t"><span class="str">            Unknowns of the system (derivative of solution u).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t235" href="#t235">235</a></span><span class="t"><span class="str">        P : pySDC.projects.DAE.misc.problemDAE.ProblemDAE</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t236" href="#t236">236</a></span><span class="t"><span class="str">            Problem class.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t237" href="#t237">237</a></span><span class="t"><span class="str">        factor : float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t238" href="#t238">238</a></span><span class="t"><span class="str">            Abbrev. for the node-to-node stepsize.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t239" href="#t239">239</a></span><span class="t"><span class="str">        u_approx : dtype_u</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t240" href="#t240">240</a></span><span class="t"><span class="str">            Approximation to numerical solution :math:`u`.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t241" href="#t241">241</a></span><span class="t"><span class="str">        t : float</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t242" href="#t242">242</a></span><span class="t"><span class="str">            Current time :math:`t`.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t243" href="#t243">243</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t244" href="#t244">244</a></span><span class="t"><span class="str">        Returns</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t245" href="#t245">245</a></span><span class="t"><span class="str">        -------</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t246" href="#t246">246</a></span><span class="t"><span class="str">        sys : dtype_f</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t247" href="#t247">247</a></span><span class="t"><span class="str">            System to be solved.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t248" href="#t248">248</a></span><span class="t"><span class="str">        """</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t249" href="#t249">249</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t250" href="#t250">250</a></span><span class="t">        <span class="nam">local_du_approx</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">dtype_f</span><span class="op">(</span><span class="nam">du</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t251" href="#t251">251</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="exc show_exc"><span class="n"><a id="t252" href="#t252">252</a></span><span class="t">        <span class="com"># build parameters to pass to implicit function</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t253" href="#t253">253</a></span><span class="t">        <span class="nam">local_u_approx</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">dtype_f</span><span class="op">(</span><span class="nam">u_approx</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t254" href="#t254">254</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t255" href="#t255">255</a></span><span class="t">        <span class="com"># note that derivatives of algebraic variables are taken into account here too</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t256" href="#t256">256</a></span><span class="t">        <span class="com"># these do not directly affect the output of eval_f but rather indirectly via QI</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t257" href="#t257">257</a></span><span class="t">        <span class="nam">local_u_approx</span> <span class="op">+=</span> <span class="nam">factor</span> <span class="op">*</span> <span class="nam">local_du_approx</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t258" href="#t258">258</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t259" href="#t259">259</a></span><span class="t">        <span class="nam">sys</span> <span class="op">=</span> <span class="nam">P</span><span class="op">.</span><span class="nam">eval_f</span><span class="op">(</span><span class="nam">local_u_approx</span><span class="op">,</span> <span class="nam">local_du_approx</span><span class="op">,</span> <span class="nam">t</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t260" href="#t260">260</a></span><span class="t">        <span class="key">return</span> <span class="nam">sys</span>&nbsp;</span><span class="r"></span></p>
 </main>
 <footer>
     <div class="content">
         <p>
-            <a class="nav" href="z_15820e38ae7f8080_SemiImplicitDAEMPI_py.html">&#xab; prev</a> &nbsp; &nbsp;
+            <a class="nav" href="z_4ef83d310f553371_synchronous_machine_playground_py.html">&#xab; prev</a> &nbsp; &nbsp;
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+            <a class="nav" href="z_15820e38ae7f8080_fullyImplicitDAEMPI_py.html">&#xbb; next</a>
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_15820e38ae7f8080_RungeKuttaDAE_py.html b/coverage/z_15820e38ae7f8080_rungeKuttaDAE_py.html
similarity index 98%
rename from coverage/z_15820e38ae7f8080_RungeKuttaDAE_py.html
rename to coverage/z_15820e38ae7f8080_rungeKuttaDAE_py.html
index 4ef19b03f2..ab7f5ffe07 100644
--- a/coverage/z_15820e38ae7f8080_RungeKuttaDAE_py.html
+++ b/coverage/z_15820e38ae7f8080_rungeKuttaDAE_py.html
@@ -2,7 +2,7 @@
 <html lang="en">
 <head>
     <meta http-equiv="Content-Type" content="text/html; charset=utf-8">
-    <title>Coverage for pySDC/projects/DAE/sweepers/RungeKuttaDAE.py: 100%</title>
+    <title>Coverage for pySDC/projects/DAE/sweepers/rungeKuttaDAE.py: 100%</title>
     <link rel="icon" sizes="32x32" href="favicon_32_cb_58284776.png">
     <link rel="stylesheet" href="style_cb_8e611ae1.css" type="text/css">
     <script src="coverage_html_cb_6fb7b396.js" defer></script>
@@ -11,7 +11,7 @@
 <header>
     <div class="content">
         <h1>
-            <span class="text">Coverage for </span><b>pySDC/projects/DAE/sweepers/RungeKuttaDAE.py</b>:
+            <span class="text">Coverage for </span><b>pySDC/projects/DAE/sweepers/rungeKuttaDAE.py</b>:
             <span class="pc_cov">100%</span>
         </h1>
         <aside id="help_panel_wrapper">
@@ -60,12 +60,12 @@ <h2>
             <button type="button" class="exc show_exc button_toggle_exc" value="exc" data-shortcut="x" title="Toggle lines excluded">5<span class="text"> excluded</span></button>
         </h2>
         <p class="text">
-            <a id="prevFileLink" class="nav" href="z_4ef83d310f553371_synchronous_machine_playground_py.html">&#xab; prev</a> &nbsp; &nbsp;
+            <a id="prevFileLink" class="nav" href="z_15820e38ae7f8080_fullyImplicitDAEMPI_py.html">&#xab; prev</a> &nbsp; &nbsp;
             <a id="indexLink" class="nav" href="index.html">&Hat; index</a> &nbsp; &nbsp;
-            <a id="nextFileLink" class="nav" href="z_15820e38ae7f8080_SemiImplicitDAE_py.html">&#xbb; next</a>
+            <a id="nextFileLink" class="nav" href="z_15820e38ae7f8080_semiImplicitDAE_py.html">&#xbb; next</a>
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             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -80,7 +80,7 @@ <h2>
     </div>
 </header>
 <main id="source">
-    <p class="run"><span class="n"><a id="t1" href="#t1">1</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">fully_implicit_DAE</span> <span class="key">import</span> <span class="nam">fully_implicit_DAE</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t1" href="#t1">1</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">fullyImplicitDAE</span> <span class="key">import</span> <span class="nam">FullyImplicitDAE</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t2" href="#t2">2</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">implementations</span><span class="op">.</span><span class="nam">sweeper_classes</span><span class="op">.</span><span class="nam">Runge_Kutta</span> <span class="key">import</span> <span class="op">(</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t3" href="#t3">3</a></span><span class="t">    <span class="nam">RungeKutta</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t">    <span class="nam">BackwardEuler</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
@@ -230,7 +230,7 @@ <h2>
     <p class="pln"><span class="n"><a id="t148" href="#t148">148</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t149" href="#t149">149</a></span><span class="t">            <span class="nam">finit</span> <span class="op">=</span> <span class="nam">lvl</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">m</span><span class="op">]</span><span class="op">.</span><span class="nam">flatten</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t150" href="#t150">150</a></span><span class="t">            <span class="nam">lvl</span><span class="op">.</span><span class="nam">f</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">[</span><span class="op">:</span><span class="op">]</span> <span class="op">=</span> <span class="nam">prob</span><span class="op">.</span><span class="nam">solve_system</span><span class="op">(</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t151" href="#t151">151</a></span><span class="t">                <span class="nam">fully_implicit_DAE</span><span class="op">.</span><span class="nam">F</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t151" href="#t151">151</a></span><span class="t">                <span class="nam">FullyImplicitDAE</span><span class="op">.</span><span class="nam">F</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t152" href="#t152">152</a></span><span class="t">                <span class="nam">u_approx</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t153" href="#t153">153</a></span><span class="t">                <span class="nam">lvl</span><span class="op">.</span><span class="nam">dt</span> <span class="op">*</span> <span class="nam">self</span><span class="op">.</span><span class="nam">QI</span><span class="op">[</span><span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">,</span> <span class="nam">m</span> <span class="op">+</span> <span class="num">1</span><span class="op">]</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t154" href="#t154">154</a></span><span class="t">                <span class="nam">finit</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
@@ -267,12 +267,12 @@ <h2>
 <footer>
     <div class="content">
         <p>
-            <a class="nav" href="z_4ef83d310f553371_synchronous_machine_playground_py.html">&#xab; prev</a> &nbsp; &nbsp;
+            <a class="nav" href="z_15820e38ae7f8080_fullyImplicitDAEMPI_py.html">&#xab; prev</a> &nbsp; &nbsp;
             <a class="nav" href="index.html">&Hat; index</a> &nbsp; &nbsp;
-            <a class="nav" href="z_15820e38ae7f8080_SemiImplicitDAE_py.html">&#xbb; next</a>
+            <a class="nav" href="z_15820e38ae7f8080_semiImplicitDAE_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
     </div>
 </footer>
diff --git a/coverage/z_15820e38ae7f8080_SemiImplicitDAEMPI_py.html b/coverage/z_15820e38ae7f8080_semiImplicitDAEMPI_py.html
similarity index 96%
rename from coverage/z_15820e38ae7f8080_SemiImplicitDAEMPI_py.html
rename to coverage/z_15820e38ae7f8080_semiImplicitDAEMPI_py.html
index 1b3ef1a126..5ffac10011 100644
--- a/coverage/z_15820e38ae7f8080_SemiImplicitDAEMPI_py.html
+++ b/coverage/z_15820e38ae7f8080_semiImplicitDAEMPI_py.html
@@ -2,7 +2,7 @@
 <html lang="en">
 <head>
     <meta http-equiv="Content-Type" content="text/html; charset=utf-8">
-    <title>Coverage for pySDC/projects/DAE/sweepers/SemiImplicitDAEMPI.py: 100%</title>
+    <title>Coverage for pySDC/projects/DAE/sweepers/semiImplicitDAEMPI.py: 100%</title>
     <link rel="icon" sizes="32x32" href="favicon_32_cb_58284776.png">
     <link rel="stylesheet" href="style_cb_8e611ae1.css" type="text/css">
     <script src="coverage_html_cb_6fb7b396.js" defer></script>
@@ -11,7 +11,7 @@
 <header>
     <div class="content">
         <h1>
-            <span class="text">Coverage for </span><b>pySDC/projects/DAE/sweepers/SemiImplicitDAEMPI.py</b>:
+            <span class="text">Coverage for </span><b>pySDC/projects/DAE/sweepers/semiImplicitDAEMPI.py</b>:
             <span class="pc_cov">100%</span>
         </h1>
         <aside id="help_panel_wrapper">
@@ -60,12 +60,12 @@ <h2>
             <button type="button" class="exc show_exc button_toggle_exc" value="exc" data-shortcut="x" title="Toggle lines excluded">0<span class="text"> excluded</span></button>
         </h2>
         <p class="text">
-            <a id="prevFileLink" class="nav" href="z_15820e38ae7f8080_SemiImplicitDAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
+            <a id="prevFileLink" class="nav" href="z_15820e38ae7f8080_semiImplicitDAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
             <a id="indexLink" class="nav" href="index.html">&Hat; index</a> &nbsp; &nbsp;
-            <a id="nextFileLink" class="nav" href="z_15820e38ae7f8080_fully_implicit_DAE_py.html">&#xbb; next</a>
+            <a id="nextFileLink" class="nav" href="z_60ee0c9d7735ef11_AcousticAdvection_1D_FD_imex_multiscale_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
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+            created at 2024-07-27 09:26 +0000
         </p>
         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -82,8 +82,8 @@ <h2>
 <main id="source">
     <p class="run"><span class="n"><a id="t1" href="#t1">1</a></span><span class="t"><span class="key">from</span> <span class="nam">mpi4py</span> <span class="key">import</span> <span class="nam">MPI</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t2" href="#t2">2</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t3" href="#t3">3</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">fully_implicit_DAE_MPI</span> <span class="key">import</span> <span class="nam">SweeperDAEMPI</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">SemiImplicitDAE</span> <span class="key">import</span> <span class="nam">SemiImplicitDAE</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t3" href="#t3">3</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">fullyImplicitDAEMPI</span> <span class="key">import</span> <span class="nam">SweeperDAEMPI</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">semiImplicitDAE</span> <span class="key">import</span> <span class="nam">SemiImplicitDAE</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t"><span class="key">class</span> <span class="nam">SemiImplicitDAEMPI</span><span class="op">(</span><span class="nam">SweeperDAEMPI</span><span class="op">,</span> <span class="nam">SemiImplicitDAE</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
@@ -96,11 +96,11 @@ <h2>
     <p class="pln"><span class="n"><a id="t14" href="#t14">14</a></span><span class="t"><span class="str">    .. math::</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t15" href="#t15">15</a></span><span class="t"><span class="str">        0 = g(u, z, t)</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t16" href="#t16">16</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t17" href="#t17">17</a></span><span class="t"><span class="str">    More detailed description can be found in ``SemiImplicitDAE.py``. To parallelize SDC across the method the idea is to use a diagonal :math:`\mathbf{Q}_\Delta` to have solves of the implicit system on each node that can be done in parallel since they are fully decoupled from values of previous nodes. First such diagonal :math:`\mathbf{Q}_\Delta` were developed in [1]_. Years later intensive theory about the topic was developed in [2]_. For the DAE case these ideas were basically transferred.</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t17" href="#t17">17</a></span><span class="t"><span class="str">    More detailed description can be found in ``semiImplicitDAE.py``. To parallelize SDC across the method the idea is to use a diagonal :math:`\mathbf{Q}_\Delta` to have solves of the implicit system on each node that can be done in parallel since they are fully decoupled from values of previous nodes. First such diagonal :math:`\mathbf{Q}_\Delta` were developed in [1]_. Years later intensive theory about the topic was developed in [2]_. For the DAE case these ideas were basically transferred.</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t18" href="#t18">18</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t19" href="#t19">19</a></span><span class="t"><span class="str">    Note</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t20" href="#t20">20</a></span><span class="t"><span class="str">    ----</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t21" href="#t21">21</a></span><span class="t"><span class="str">    For more details of implementing a sweeper enabling parallelization across the method we refer to documentation in [generic_implicit_MPI.py](https://github.com/Parallel-in-Time/pySDC/blob/master/pySDC/implementations/sweeper_classes/generic_implicit_MPI.py) and [fully_implicit_DAE_MPI.py](https://github.com/Parallel-in-Time/pySDC/blob/master/pySDC/projects/DAE/sweepers/fully_implicit_DAE_MPI.py).</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t21" href="#t21">21</a></span><span class="t"><span class="str">    For more details of implementing a sweeper enabling parallelization across the method we refer to documentation in [generic_implicit_MPI.py](https://github.com/Parallel-in-Time/pySDC/blob/master/pySDC/implementations/sweeper_classes/generic_implicit_MPI.py) and [fullyImplicitDAEMPI.py](https://github.com/Parallel-in-Time/pySDC/blob/master/pySDC/projects/DAE/sweepers/fullyImplicitDAEMPI.py).</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t22" href="#t22">22</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t23" href="#t23">23</a></span><span class="t"><span class="str">    For parallelization across the method for semi-explicit DAEs, differential and algebraic parts have to be treated separately. In ``integrate()`` these parts needs to be collected separately, otherwise information would get lost.</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t24" href="#t24">24</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
@@ -182,12 +182,12 @@ <h2>
 <footer>
     <div class="content">
         <p>
-            <a class="nav" href="z_15820e38ae7f8080_SemiImplicitDAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
+            <a class="nav" href="z_15820e38ae7f8080_semiImplicitDAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
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+            <a class="nav" href="z_60ee0c9d7735ef11_AcousticAdvection_1D_FD_imex_multiscale_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
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diff --git a/coverage/z_15820e38ae7f8080_SemiImplicitDAE_py.html b/coverage/z_15820e38ae7f8080_semiImplicitDAE_py.html
similarity index 98%
rename from coverage/z_15820e38ae7f8080_SemiImplicitDAE_py.html
rename to coverage/z_15820e38ae7f8080_semiImplicitDAE_py.html
index 30f9c9933a..bf27abfdad 100644
--- a/coverage/z_15820e38ae7f8080_SemiImplicitDAE_py.html
+++ b/coverage/z_15820e38ae7f8080_semiImplicitDAE_py.html
@@ -2,7 +2,7 @@
 <html lang="en">
 <head>
     <meta http-equiv="Content-Type" content="text/html; charset=utf-8">
-    <title>Coverage for pySDC/projects/DAE/sweepers/SemiImplicitDAE.py: 98%</title>
+    <title>Coverage for pySDC/projects/DAE/sweepers/semiImplicitDAE.py: 98%</title>
     <link rel="icon" sizes="32x32" href="favicon_32_cb_58284776.png">
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     <script src="coverage_html_cb_6fb7b396.js" defer></script>
@@ -11,7 +11,7 @@
 <header>
     <div class="content">
         <h1>
-            <span class="text">Coverage for </span><b>pySDC/projects/DAE/sweepers/SemiImplicitDAE.py</b>:
+            <span class="text">Coverage for </span><b>pySDC/projects/DAE/sweepers/semiImplicitDAE.py</b>:
             <span class="pc_cov">98%</span>
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@@ -60,12 +60,12 @@ <h2>
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-            <a id="prevFileLink" class="nav" href="z_15820e38ae7f8080_RungeKuttaDAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
+            <a id="prevFileLink" class="nav" href="z_15820e38ae7f8080_rungeKuttaDAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
             <a id="indexLink" class="nav" href="index.html">&Hat; index</a> &nbsp; &nbsp;
-            <a id="nextFileLink" class="nav" href="z_15820e38ae7f8080_SemiImplicitDAEMPI_py.html">&#xbb; next</a>
+            <a id="nextFileLink" class="nav" href="z_15820e38ae7f8080_semiImplicitDAEMPI_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
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             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -81,10 +81,10 @@ <h2>
 </header>
 <main id="source">
     <p class="run"><span class="n"><a id="t1" href="#t1">1</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">core</span><span class="op">.</span><span class="nam">errors</span> <span class="key">import</span> <span class="nam">ParameterError</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t2" href="#t2">2</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">fully_implicit_DAE</span> <span class="key">import</span> <span class="nam">fully_implicit_DAE</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t2" href="#t2">2</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">fullyImplicitDAE</span> <span class="key">import</span> <span class="nam">FullyImplicitDAE</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t3" href="#t3">3</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t"><span class="key">class</span> <span class="nam">SemiImplicitDAE</span><span class="op">(</span><span class="nam">fully_implicit_DAE</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t"><span class="key">class</span> <span class="nam">SemiImplicitDAE</span><span class="op">(</span><span class="nam">FullyImplicitDAE</span><span class="op">)</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
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     <p class="pln"><span class="n"><a id="t8" href="#t8">8</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
@@ -274,7 +274,7 @@ <h2>
     <p class="pln"><span class="n"><a id="t192" href="#t192">192</a></span><span class="t"><span class="str">        ----------</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t193" href="#t193">193</a></span><span class="t"><span class="str">        du : dtype_u</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t194" href="#t194">194</a></span><span class="t"><span class="str">            Unknowns of the system (derivative of solution u).</span>&nbsp;</span><span class="r"></span></p>
-    <p class="pln"><span class="n"><a id="t195" href="#t195">195</a></span><span class="t"><span class="str">        P : pySDC.projects.DAE.misc.ProblemDAE</span>&nbsp;</span><span class="r"></span></p>
+    <p class="pln"><span class="n"><a id="t195" href="#t195">195</a></span><span class="t"><span class="str">        P : pySDC.projects.DAE.misc.problemDAE.ProblemDAE</span>&nbsp;</span><span class="r"></span></p>
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     <p class="pln"><span class="n"><a id="t197" href="#t197">197</a></span><span class="t"><span class="str">        factor : float</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t198" href="#t198">198</a></span><span class="t"><span class="str">            Abbrev. for the node-to-node stepsize.</span>&nbsp;</span><span class="r"></span></p>
@@ -301,12 +301,12 @@ <h2>
 <footer>
     <div class="content">
         <p>
-            <a class="nav" href="z_15820e38ae7f8080_RungeKuttaDAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
+            <a class="nav" href="z_15820e38ae7f8080_rungeKuttaDAE_py.html">&#xab; prev</a> &nbsp; &nbsp;
             <a class="nav" href="index.html">&Hat; index</a> &nbsp; &nbsp;
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+            <a class="nav" href="z_15820e38ae7f8080_semiImplicitDAEMPI_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
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+            created at 2024-07-27 09:26 +0000
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index bee1554b84..337f805f28 100644
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+++ b/coverage/z_1ba2acb451842eb0_allenCahn_accuracy_py.html
@@ -65,7 +65,7 @@ <h2>
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             &nbsp; &nbsp; &nbsp;
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+            created at 2024-07-27 09:26 +0000
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@@ -208,7 +208,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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index 60710e27b7..b831e92ae7 100644
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+++ b/coverage/z_1ba2acb451842eb0_allenCahn_setup_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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+            created at 2024-07-27 09:26 +0000
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+++ b/coverage/z_1ba2acb451842eb0_chemicalReaction_accuracy_py.html
@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_1ba2acb451842eb0_chemicalReaction_setup_py.html">&#xbb; next</a>
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+            created at 2024-07-27 09:26 +0000
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             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -201,7 +201,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_1ba2acb451842eb0_chemicalReaction_setup_py.html b/coverage/z_1ba2acb451842eb0_chemicalReaction_setup_py.html
index 6ac9ff0321..0c90e1852c 100644
--- a/coverage/z_1ba2acb451842eb0_chemicalReaction_setup_py.html
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@@ -65,7 +65,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -128,7 +128,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_1ba2acb451842eb0_convergence_py.html b/coverage/z_1ba2acb451842eb0_convergence_py.html
index b0be06f4e9..bc73d7b98e 100644
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+++ b/coverage/z_1ba2acb451842eb0_convergence_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_1ba2acb451842eb0_jacobiElliptic_accuracy_py.html b/coverage/z_1ba2acb451842eb0_jacobiElliptic_accuracy_py.html
index 152d66ac66..036d0e8a41 100644
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+++ b/coverage/z_1ba2acb451842eb0_jacobiElliptic_accuracy_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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@@ -203,7 +203,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_1ba2acb451842eb0_jacobiElliptic_setup_py.html b/coverage/z_1ba2acb451842eb0_jacobiElliptic_setup_py.html
index 81b86752b7..222d1ef741 100644
--- a/coverage/z_1ba2acb451842eb0_jacobiElliptic_setup_py.html
+++ b/coverage/z_1ba2acb451842eb0_jacobiElliptic_setup_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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@@ -142,7 +142,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_1ba2acb451842eb0_kaps_accuracy_py.html b/coverage/z_1ba2acb451842eb0_kaps_accuracy_py.html
index 22090a461d..b23170f74a 100644
--- a/coverage/z_1ba2acb451842eb0_kaps_accuracy_py.html
+++ b/coverage/z_1ba2acb451842eb0_kaps_accuracy_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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@@ -204,7 +204,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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index 394440165f..8d2e9a5746 100644
--- a/coverage/z_1ba2acb451842eb0_kaps_setup_py.html
+++ b/coverage/z_1ba2acb451842eb0_kaps_setup_py.html
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+            created at 2024-07-27 09:26 +0000
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+            created at 2024-07-27 09:26 +0000
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index 5d379e126f..cc0fcaf6ff 100644
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+            created at 2024-07-27 09:26 +0000
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+            created at 2024-07-27 09:26 +0000
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+            created at 2024-07-27 09:26 +0000
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         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -84,7 +84,7 @@ <h2>
     <p class="run"><span class="n"><a id="t2" href="#t2">2</a></span><span class="t"><span class="key">from</span> <span class="nam">mpi4py</span> <span class="key">import</span> <span class="nam">MPI</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t3" href="#t3">3</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">implementations</span><span class="op">.</span><span class="nam">controller_classes</span><span class="op">.</span><span class="nam">controller_nonMPI</span> <span class="key">import</span> <span class="nam">controller_nonMPI</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">HookClass_DAE</span> <span class="key">import</span> <span class="op">(</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">hooksDAE</span> <span class="key">import</span> <span class="op">(</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t">    <span class="nam">LogGlobalErrorPostStepDifferentialVariable</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t">    <span class="nam">LogGlobalErrorPostStepAlgebraicVariable</span><span class="op">,</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t8" href="#t8">8</a></span><span class="t"><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
@@ -118,26 +118,26 @@ <h2>
     <p class="pln"><span class="n"><a id="t36" href="#t36">36</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t37" href="#t37">37</a></span><span class="t">    <span class="key">if</span> <span class="key">not</span> <span class="nam">semi_implicit</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t38" href="#t38">38</a></span><span class="t">        <span class="key">if</span> <span class="nam">use_MPI</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t39" href="#t39">39</a></span><span class="t">            <span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">fully_implicit_DAE_MPI</span> <span class="key">import</span> <span class="nam">fully_implicit_DAE_MPI</span> <span class="key">as</span> <span class="nam">sweeper</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t39" href="#t39">39</a></span><span class="t">            <span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">fullyImplicitDAEMPI</span> <span class="key">import</span> <span class="nam">FullyImplicitDAEMPI</span> <span class="key">as</span> <span class="nam">sweeper</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t40" href="#t40">40</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t41" href="#t41">41</a></span><span class="t">        <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t42" href="#t42">42</a></span><span class="t">            <span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">fully_implicit_DAE</span> <span class="key">import</span> <span class="nam">fully_implicit_DAE</span> <span class="key">as</span> <span class="nam">sweeper</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t42" href="#t42">42</a></span><span class="t">            <span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">fullyImplicitDAE</span> <span class="key">import</span> <span class="nam">FullyImplicitDAE</span> <span class="key">as</span> <span class="nam">sweeper</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t43" href="#t43">43</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t44" href="#t44">44</a></span><span class="t">    <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t45" href="#t45">45</a></span><span class="t">        <span class="key">if</span> <span class="nam">use_MPI</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t46" href="#t46">46</a></span><span class="t">            <span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">SemiImplicitDAEMPI</span> <span class="key">import</span> <span class="nam">SemiImplicitDAEMPI</span> <span class="key">as</span> <span class="nam">sweeper</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t46" href="#t46">46</a></span><span class="t">            <span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">semiImplicitDAEMPI</span> <span class="key">import</span> <span class="nam">SemiImplicitDAEMPI</span> <span class="key">as</span> <span class="nam">sweeper</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t47" href="#t47">47</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t48" href="#t48">48</a></span><span class="t">        <span class="key">else</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t49" href="#t49">49</a></span><span class="t">            <span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">SemiImplicitDAE</span> <span class="key">import</span> <span class="nam">SemiImplicitDAE</span> <span class="key">as</span> <span class="nam">sweeper</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t49" href="#t49">49</a></span><span class="t">            <span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">semiImplicitDAE</span> <span class="key">import</span> <span class="nam">SemiImplicitDAE</span> <span class="key">as</span> <span class="nam">sweeper</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t50" href="#t50">50</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t51" href="#t51">51</a></span><span class="t">    <span class="key">if</span> <span class="nam">index_case</span> <span class="op">==</span> <span class="num">1</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t52" href="#t52">52</a></span><span class="t">        <span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">problems</span><span class="op">.</span><span class="nam">DiscontinuousTestDAE</span> <span class="key">import</span> <span class="nam">DiscontinuousTestDAE</span> <span class="key">as</span> <span class="nam">problem</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t52" href="#t52">52</a></span><span class="t">        <span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">problems</span><span class="op">.</span><span class="nam">discontinuousTestDAE</span> <span class="key">import</span> <span class="nam">DiscontinuousTestDAE</span> <span class="key">as</span> <span class="nam">problem</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t53" href="#t53">53</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t54" href="#t54">54</a></span><span class="t">        <span class="nam">t0</span> <span class="op">=</span> <span class="num">1.0</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t55" href="#t55">55</a></span><span class="t">        <span class="nam">Tend</span> <span class="op">=</span> <span class="num">1.5</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t56" href="#t56">56</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t57" href="#t57">57</a></span><span class="t">    <span class="key">elif</span> <span class="nam">index_case</span> <span class="op">==</span> <span class="num">2</span><span class="op">:</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t58" href="#t58">58</a></span><span class="t">        <span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">problems</span><span class="op">.</span><span class="nam">simple_DAE</span> <span class="key">import</span> <span class="nam">simple_dae_1</span> <span class="key">as</span> <span class="nam">problem</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t58" href="#t58">58</a></span><span class="t">        <span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">problems</span><span class="op">.</span><span class="nam">simpleDAE</span> <span class="key">import</span> <span class="nam">SimpleDAE</span> <span class="key">as</span> <span class="nam">problem</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t59" href="#t59">59</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t60" href="#t60">60</a></span><span class="t">        <span class="nam">t0</span> <span class="op">=</span> <span class="num">0.0</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t61" href="#t61">61</a></span><span class="t">        <span class="nam">Tend</span> <span class="op">=</span> <span class="num">0.4</span>&nbsp;</span><span class="r"></span></p>
@@ -271,12 +271,12 @@ <h2>
 <footer>
     <div class="content">
         <p>
-            <a class="nav" href="z_0eb34c630be51b75_transistor_amplifier_py.html">&#xab; prev</a> &nbsp; &nbsp;
+            <a class="nav" href="z_0eb34c630be51b75_wscc9BusSystem_py.html">&#xab; prev</a> &nbsp; &nbsp;
             <a class="nav" href="index.html">&Hat; index</a> &nbsp; &nbsp;
             <a class="nav" href="z_4ef83d310f553371_fully_implicit_dae_playground_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
     </div>
 </footer>
diff --git a/coverage/z_4ef83d310f553371_fully_implicit_dae_playground_py.html b/coverage/z_4ef83d310f553371_fully_implicit_dae_playground_py.html
index 9e83b38d1e..09ba0d2883 100644
--- a/coverage/z_4ef83d310f553371_fully_implicit_dae_playground_py.html
+++ b/coverage/z_4ef83d310f553371_fully_implicit_dae_playground_py.html
@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_4ef83d310f553371_run_convergence_test_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -85,8 +85,8 @@ <h2>
     <p class="run"><span class="n"><a id="t3" href="#t3">3</a></span><span class="t"><span class="key">import</span> <span class="nam">pickle</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">implementations</span><span class="op">.</span><span class="nam">controller_classes</span><span class="op">.</span><span class="nam">controller_nonMPI</span> <span class="key">import</span> <span class="nam">controller_nonMPI</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">problems</span><span class="op">.</span><span class="nam">problematicF</span> <span class="key">import</span> <span class="nam">problematic_f</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">fully_implicit_DAE</span> <span class="key">import</span> <span class="nam">fully_implicit_DAE</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">problems</span><span class="op">.</span><span class="nam">problematicF</span> <span class="key">import</span> <span class="nam">ProblematicF</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">fullyImplicitDAE</span> <span class="key">import</span> <span class="nam">FullyImplicitDAE</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t8" href="#t8">8</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">implementations</span><span class="op">.</span><span class="nam">hooks</span><span class="op">.</span><span class="nam">log_errors</span> <span class="key">import</span> <span class="nam">LogGlobalErrorPostStep</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t9" href="#t9">9</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">helpers</span><span class="op">.</span><span class="nam">stats_helper</span> <span class="key">import</span> <span class="nam">get_sorted</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t10" href="#t10">10</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">implementations</span><span class="op">.</span><span class="nam">hooks</span><span class="op">.</span><span class="nam">log_solution</span> <span class="key">import</span> <span class="nam">LogSolution</span>&nbsp;</span><span class="r"></span></p>
@@ -121,9 +121,9 @@ <h2>
     <p class="pln"><span class="n"><a id="t39" href="#t39">39</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t40" href="#t40">40</a></span><span class="t">    <span class="com"># Fill description dictionary for easy hierarchy creation</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t41" href="#t41">41</a></span><span class="t">    <span class="nam">description</span> <span class="op">=</span> <span class="nam">dict</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t42" href="#t42">42</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'problem_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">problematic_f</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t42" href="#t42">42</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'problem_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">ProblematicF</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t43" href="#t43">43</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'problem_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">problem_params</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t44" href="#t44">44</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'sweeper_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">fully_implicit_DAE</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t44" href="#t44">44</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'sweeper_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">FullyImplicitDAE</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t45" href="#t45">45</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'sweeper_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">sweeper_params</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t46" href="#t46">46</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'level_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">level_params</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t47" href="#t47">47</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'step_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">step_params</span>&nbsp;</span><span class="r"></span></p>
@@ -174,7 +174,7 @@ <h2>
             <a class="nav" href="z_4ef83d310f553371_run_convergence_test_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
     </div>
 </footer>
diff --git a/coverage/z_4ef83d310f553371_run_convergence_test_py.html b/coverage/z_4ef83d310f553371_run_convergence_test_py.html
index 77123b793e..317758d62d 100644
--- a/coverage/z_4ef83d310f553371_run_convergence_test_py.html
+++ b/coverage/z_4ef83d310f553371_run_convergence_test_py.html
@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_4ef83d310f553371_run_iteration_test_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -85,9 +85,9 @@ <h2>
     <p class="run"><span class="n"><a id="t3" href="#t3">3</a></span><span class="t"><span class="key">import</span> <span class="nam">pickle</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">implementations</span><span class="op">.</span><span class="nam">controller_classes</span><span class="op">.</span><span class="nam">controller_nonMPI</span> <span class="key">import</span> <span class="nam">controller_nonMPI</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">problems</span><span class="op">.</span><span class="nam">simple_DAE</span> <span class="key">import</span> <span class="nam">simple_dae_1</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">fully_implicit_DAE</span> <span class="key">import</span> <span class="nam">fully_implicit_DAE</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t8" href="#t8">8</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">HookClass_DAE</span> <span class="key">import</span> <span class="nam">LogGlobalErrorPostStepDifferentialVariable</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">problems</span><span class="op">.</span><span class="nam">simpleDAE</span> <span class="key">import</span> <span class="nam">SimpleDAE</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">fullyImplicitDAE</span> <span class="key">import</span> <span class="nam">FullyImplicitDAE</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t8" href="#t8">8</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">hooksDAE</span> <span class="key">import</span> <span class="nam">LogGlobalErrorPostStepDifferentialVariable</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t9" href="#t9">9</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">helpers</span><span class="op">.</span><span class="nam">stats_helper</span> <span class="key">import</span> <span class="nam">get_sorted</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t10" href="#t10">10</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">helpers</span><span class="op">.</span><span class="nam">stats_helper</span> <span class="key">import</span> <span class="nam">filter_stats</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t11" href="#t11">11</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
@@ -119,9 +119,9 @@ <h2>
     <p class="pln"><span class="n"><a id="t37" href="#t37">37</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t38" href="#t38">38</a></span><span class="t">    <span class="com"># Fill description dictionary for easy hierarchy creation</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t39" href="#t39">39</a></span><span class="t">    <span class="nam">description</span> <span class="op">=</span> <span class="nam">dict</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t40" href="#t40">40</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'problem_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">simple_dae_1</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t40" href="#t40">40</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'problem_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">SimpleDAE</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t41" href="#t41">41</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'problem_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">problem_params</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t42" href="#t42">42</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'sweeper_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">fully_implicit_DAE</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t42" href="#t42">42</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'sweeper_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">FullyImplicitDAE</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t43" href="#t43">43</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'sweeper_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">sweeper_params</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t44" href="#t44">44</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'level_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">level_params</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t45" href="#t45">45</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'step_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">step_params</span>&nbsp;</span><span class="r"></span></p>
@@ -198,7 +198,7 @@ <h2>
             <a class="nav" href="z_4ef83d310f553371_run_iteration_test_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
     </div>
 </footer>
diff --git a/coverage/z_4ef83d310f553371_run_iteration_test_py.html b/coverage/z_4ef83d310f553371_run_iteration_test_py.html
index 4bef4e886d..09cab63077 100644
--- a/coverage/z_4ef83d310f553371_run_iteration_test_py.html
+++ b/coverage/z_4ef83d310f553371_run_iteration_test_py.html
@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_4ef83d310f553371_synchronous_machine_playground_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -85,9 +85,9 @@ <h2>
     <p class="run"><span class="n"><a id="t3" href="#t3">3</a></span><span class="t"><span class="key">import</span> <span class="nam">pickle</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">implementations</span><span class="op">.</span><span class="nam">controller_classes</span><span class="op">.</span><span class="nam">controller_nonMPI</span> <span class="key">import</span> <span class="nam">controller_nonMPI</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">problems</span><span class="op">.</span><span class="nam">simple_DAE</span> <span class="key">import</span> <span class="nam">simple_dae_1</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">fully_implicit_DAE</span> <span class="key">import</span> <span class="nam">fully_implicit_DAE</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t8" href="#t8">8</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">HookClass_DAE</span> <span class="key">import</span> <span class="nam">LogGlobalErrorPostStepDifferentialVariable</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">problems</span><span class="op">.</span><span class="nam">simpleDAE</span> <span class="key">import</span> <span class="nam">SimpleDAE</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">fullyImplicitDAE</span> <span class="key">import</span> <span class="nam">FullyImplicitDAE</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t8" href="#t8">8</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">hooksDAE</span> <span class="key">import</span> <span class="nam">LogGlobalErrorPostStepDifferentialVariable</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t9" href="#t9">9</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">helpers</span><span class="op">.</span><span class="nam">stats_helper</span> <span class="key">import</span> <span class="nam">get_sorted</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t10" href="#t10">10</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">helpers</span><span class="op">.</span><span class="nam">stats_helper</span> <span class="key">import</span> <span class="nam">filter_stats</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t11" href="#t11">11</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
@@ -124,9 +124,9 @@ <h2>
     <p class="pln"><span class="n"><a id="t42" href="#t42">42</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t43" href="#t43">43</a></span><span class="t">    <span class="com"># Fill description dictionary for easy hierarchy creation</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t44" href="#t44">44</a></span><span class="t">    <span class="nam">description</span> <span class="op">=</span> <span class="nam">dict</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t45" href="#t45">45</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'problem_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">simple_dae_1</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t45" href="#t45">45</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'problem_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">SimpleDAE</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t46" href="#t46">46</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'problem_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">problem_params</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t47" href="#t47">47</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'sweeper_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">fully_implicit_DAE</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t47" href="#t47">47</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'sweeper_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">FullyImplicitDAE</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t48" href="#t48">48</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'sweeper_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">sweeper_params</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t49" href="#t49">49</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'level_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">level_params</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t50" href="#t50">50</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'step_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">step_params</span>&nbsp;</span><span class="r"></span></p>
@@ -217,7 +217,7 @@ <h2>
             <a class="nav" href="z_4ef83d310f553371_synchronous_machine_playground_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
     </div>
 </footer>
diff --git a/coverage/z_4ef83d310f553371_synchronous_machine_playground_py.html b/coverage/z_4ef83d310f553371_synchronous_machine_playground_py.html
index 8c95cb88ba..91b43f1048 100644
--- a/coverage/z_4ef83d310f553371_synchronous_machine_playground_py.html
+++ b/coverage/z_4ef83d310f553371_synchronous_machine_playground_py.html
@@ -62,10 +62,10 @@ <h2>
         <p class="text">
             <a id="prevFileLink" class="nav" href="z_4ef83d310f553371_run_iteration_test_py.html">&#xab; prev</a> &nbsp; &nbsp;
             <a id="indexLink" class="nav" href="index.html">&Hat; index</a> &nbsp; &nbsp;
-            <a id="nextFileLink" class="nav" href="z_15820e38ae7f8080_RungeKuttaDAE_py.html">&#xbb; next</a>
+            <a id="nextFileLink" class="nav" href="z_15820e38ae7f8080_fullyImplicitDAE_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
         </p>
         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -86,9 +86,9 @@ <h2>
     <p class="run"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t"><span class="key">import</span> <span class="nam">statistics</span>&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">implementations</span><span class="op">.</span><span class="nam">controller_classes</span><span class="op">.</span><span class="nam">controller_nonMPI</span> <span class="key">import</span> <span class="nam">controller_nonMPI</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">problems</span><span class="op">.</span><span class="nam">synchronous_machine</span> <span class="key">import</span> <span class="nam">synchronous_machine_infinite_bus</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t8" href="#t8">8</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">fully_implicit_DAE</span> <span class="key">import</span> <span class="nam">fully_implicit_DAE</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t9" href="#t9">9</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">HookClass_DAE</span> <span class="key">import</span> <span class="nam">LogGlobalErrorPostStepDifferentialVariable</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">problems</span><span class="op">.</span><span class="nam">synchronousMachine</span> <span class="key">import</span> <span class="nam">SynchronousMachineInfiniteBus</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t8" href="#t8">8</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">sweepers</span><span class="op">.</span><span class="nam">fullyImplicitDAE</span> <span class="key">import</span> <span class="nam">FullyImplicitDAE</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t9" href="#t9">9</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">projects</span><span class="op">.</span><span class="nam">DAE</span><span class="op">.</span><span class="nam">misc</span><span class="op">.</span><span class="nam">hooksDAE</span> <span class="key">import</span> <span class="nam">LogGlobalErrorPostStepDifferentialVariable</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t10" href="#t10">10</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">helpers</span><span class="op">.</span><span class="nam">stats_helper</span> <span class="key">import</span> <span class="nam">get_sorted</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t11" href="#t11">11</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">helpers</span><span class="op">.</span><span class="nam">stats_helper</span> <span class="key">import</span> <span class="nam">filter_stats</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t12" href="#t12">12</a></span><span class="t"><span class="key">from</span> <span class="nam">pySDC</span><span class="op">.</span><span class="nam">implementations</span><span class="op">.</span><span class="nam">hooks</span><span class="op">.</span><span class="nam">log_solution</span> <span class="key">import</span> <span class="nam">LogSolution</span>&nbsp;</span><span class="r"></span></p>
@@ -124,9 +124,9 @@ <h2>
     <p class="pln"><span class="n"><a id="t42" href="#t42">42</a></span><span class="t">&nbsp;</span><span class="r"></span></p>
     <p class="pln"><span class="n"><a id="t43" href="#t43">43</a></span><span class="t">    <span class="com"># Fill description dictionary for easy hierarchy creation</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t44" href="#t44">44</a></span><span class="t">    <span class="nam">description</span> <span class="op">=</span> <span class="nam">dict</span><span class="op">(</span><span class="op">)</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t45" href="#t45">45</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'problem_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">synchronous_machine_infinite_bus</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t45" href="#t45">45</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'problem_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">SynchronousMachineInfiniteBus</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t46" href="#t46">46</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'problem_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">problem_params</span>&nbsp;</span><span class="r"></span></p>
-    <p class="run"><span class="n"><a id="t47" href="#t47">47</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'sweeper_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">fully_implicit_DAE</span>&nbsp;</span><span class="r"></span></p>
+    <p class="run"><span class="n"><a id="t47" href="#t47">47</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'sweeper_class'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">FullyImplicitDAE</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t48" href="#t48">48</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'sweeper_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">sweeper_params</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t49" href="#t49">49</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'level_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">level_params</span>&nbsp;</span><span class="r"></span></p>
     <p class="run"><span class="n"><a id="t50" href="#t50">50</a></span><span class="t">    <span class="nam">description</span><span class="op">[</span><span class="str">'step_params'</span><span class="op">]</span> <span class="op">=</span> <span class="nam">step_params</span>&nbsp;</span><span class="r"></span></p>
@@ -203,10 +203,10 @@ <h2>
         <p>
             <a class="nav" href="z_4ef83d310f553371_run_iteration_test_py.html">&#xab; prev</a> &nbsp; &nbsp;
             <a class="nav" href="index.html">&Hat; index</a> &nbsp; &nbsp;
-            <a class="nav" href="z_15820e38ae7f8080_RungeKuttaDAE_py.html">&#xbb; next</a>
+            <a class="nav" href="z_15820e38ae7f8080_fullyImplicitDAE_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_52d7e0681901465e_fig01_conv_py.html b/coverage/z_52d7e0681901465e_fig01_conv_py.html
index 990e5466f5..5145d327af 100644
--- a/coverage/z_52d7e0681901465e_fig01_conv_py.html
+++ b/coverage/z_52d7e0681901465e_fig01_conv_py.html
@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_52d7e0681901465e_fig02_stab_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
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+            created at 2024-07-27 09:26 +0000
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@@ -186,7 +186,7 @@ <h2>
             <a class="nav" href="z_52d7e0681901465e_fig02_stab_py.html">&#xbb; next</a>
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_52d7e0681901465e_fig02_stab_py.html b/coverage/z_52d7e0681901465e_fig02_stab_py.html
index 5b21185c80..a440997674 100644
--- a/coverage/z_52d7e0681901465e_fig02_stab_py.html
+++ b/coverage/z_52d7e0681901465e_fig02_stab_py.html
@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_52d7e0681901465e_fig03_lorenz_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
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+            created at 2024-07-27 09:26 +0000
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@@ -169,7 +169,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_52d7e0681901465e_fig03_lorenz_py.html b/coverage/z_52d7e0681901465e_fig03_lorenz_py.html
index c76742afb5..a29673c399 100644
--- a/coverage/z_52d7e0681901465e_fig03_lorenz_py.html
+++ b/coverage/z_52d7e0681901465e_fig03_lorenz_py.html
@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_52d7e0681901465e_fig04_protheroRobinson_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
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+            created at 2024-07-27 09:26 +0000
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@@ -265,7 +265,7 @@ <h2>
             <a class="nav" href="z_52d7e0681901465e_fig04_protheroRobinson_py.html">&#xbb; next</a>
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_52d7e0681901465e_fig04_protheroRobinson_py.html b/coverage/z_52d7e0681901465e_fig04_protheroRobinson_py.html
index f4ef1b342c..900b6197a2 100644
--- a/coverage/z_52d7e0681901465e_fig04_protheroRobinson_py.html
+++ b/coverage/z_52d7e0681901465e_fig04_protheroRobinson_py.html
@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_52d7e0681901465e_fig05_allenCahn_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
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-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
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         <aside class="hidden">
             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -196,7 +196,7 @@ <h2>
             <a class="nav" href="z_52d7e0681901465e_fig05_allenCahn_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_52d7e0681901465e_fig05_allenCahn_py.html b/coverage/z_52d7e0681901465e_fig05_allenCahn_py.html
index 0a032d7847..5ffd802ed4 100644
--- a/coverage/z_52d7e0681901465e_fig05_allenCahn_py.html
+++ b/coverage/z_52d7e0681901465e_fig05_allenCahn_py.html
@@ -65,7 +65,7 @@ <h2>
             <a id="nextFileLink" class="nav" href="z_1ba2acb451842eb0_stability_py.html">&#xbb; next</a>
             &nbsp; &nbsp; &nbsp;
             <a class="nav" href="https://coverage.readthedocs.io/en/7.6.0">coverage.py v7.6.0</a>,
-            created at 2024-07-25 12:46 +0000
+            created at 2024-07-27 09:26 +0000
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             <button type="button" class="button_next_chunk" data-shortcut="j"></button>
@@ -220,7 +220,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_5893b65af8042ae2_AC_py.html b/coverage/z_5893b65af8042ae2_AC_py.html
index 73cca2cc91..0d8d32316d 100644
--- a/coverage/z_5893b65af8042ae2_AC_py.html
+++ b/coverage/z_5893b65af8042ae2_AC_py.html
@@ -65,7 +65,7 @@ <h2>
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             &nbsp; &nbsp; &nbsp;
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+            created at 2024-07-27 09:26 +0000
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@@ -435,7 +435,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_5893b65af8042ae2_FDeigenvalues_py.html b/coverage/z_5893b65af8042ae2_FDeigenvalues_py.html
index f1f7f16322..1462b416cc 100644
--- a/coverage/z_5893b65af8042ae2_FDeigenvalues_py.html
+++ b/coverage/z_5893b65af8042ae2_FDeigenvalues_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_5893b65af8042ae2_Lorenz_py.html b/coverage/z_5893b65af8042ae2_Lorenz_py.html
index 92c4ed4da4..75d9ed7f86 100644
--- a/coverage/z_5893b65af8042ae2_Lorenz_py.html
+++ b/coverage/z_5893b65af8042ae2_Lorenz_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_5893b65af8042ae2_Schroedinger_py.html b/coverage/z_5893b65af8042ae2_Schroedinger_py.html
index 2e3af5c0e2..0596437807 100644
--- a/coverage/z_5893b65af8042ae2_Schroedinger_py.html
+++ b/coverage/z_5893b65af8042ae2_Schroedinger_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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@@ -295,7 +295,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_5893b65af8042ae2_accuracy_check_py.html b/coverage/z_5893b65af8042ae2_accuracy_check_py.html
index 5275892872..7757948a87 100644
--- a/coverage/z_5893b65af8042ae2_accuracy_check_py.html
+++ b/coverage/z_5893b65af8042ae2_accuracy_check_py.html
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+            created at 2024-07-27 09:26 +0000
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_5893b65af8042ae2_advection_py.html b/coverage/z_5893b65af8042ae2_advection_py.html
index d7a535668e..7ecd323de3 100644
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+++ b/coverage/z_5893b65af8042ae2_advection_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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@@ -237,7 +237,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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index 48e1af6dc0..7dec1b5068 100644
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+            created at 2024-07-27 09:26 +0000
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+            created at 2024-07-27 09:26 +0000
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index adf2f50022..202f244e55 100644
--- a/coverage/z_ecd017d7b94a3306_compare_to_matrixbased_py.html
+++ b/coverage/z_ecd017d7b94a3306_compare_to_matrixbased_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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+            created at 2024-07-27 09:26 +0000
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index d16eec74e5..5c439ea329 100644
--- a/coverage/z_ecd017d7b94a3306_compare_to_propagator_py.html
+++ b/coverage/z_ecd017d7b94a3306_compare_to_propagator_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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index 04e550c968..3888f01f60 100644
--- a/coverage/z_ecd017d7b94a3306_controller_matrix_nonMPI_py.html
+++ b/coverage/z_ecd017d7b94a3306_controller_matrix_nonMPI_py.html
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+            created at 2024-07-27 09:26 +0000
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diff --git a/coverage/z_f092600e49a290b3_TransferVectorOfDCTVectors_py.html b/coverage/z_f092600e49a290b3_TransferVectorOfDCTVectors_py.html
index f383b3d576..91b5f7fa8f 100644
--- a/coverage/z_f092600e49a290b3_TransferVectorOfDCTVectors_py.html
+++ b/coverage/z_f092600e49a290b3_TransferVectorOfDCTVectors_py.html
@@ -65,7 +65,7 @@ <h2>
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+            created at 2024-07-27 09:26 +0000
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index 2ad289fb5d..2b085c341f 100644
--- a/coverage/z_f092600e49a290b3_Transfer_DCT_Vector_py.html
+++ b/coverage/z_f092600e49a290b3_Transfer_DCT_Vector_py.html
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index eaf077a0f0..55e806519e 100644
--- a/coverage/z_f7d64113b0673500_ac_fft_py.html
+++ b/coverage/z_f7d64113b0673500_ac_fft_py.html
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index a089c75e48..01a98d7038 100644
--- a/coverage/z_f7d64113b0673500_heat_py.html
+++ b/coverage/z_f7d64113b0673500_heat_py.html
@@ -65,7 +65,7 @@ <h2>
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diff --git a/projects/DAE.html b/projects/DAE.html
index c9772ea475..0a1699fba6 100644
--- a/projects/DAE.html
+++ b/projects/DAE.html
@@ -55,17 +55,17 @@ <h2>Project overview<a class="headerlink" href="#project-overview" title="Link t
 <li><dl>
 <dt>misc</dt><dd><ul>
 <li><div class="line-block">
-<div class="line"><code class="docutils literal notranslate"><span class="pre">DAEMesh.py</span></code></div>
+<div class="line"><code class="docutils literal notranslate"><span class="pre">meshDAE.py</span></code></div>
 <div class="line">Datatype for semi-explicit DAE problem classes differential and algebraic parts to have a clean treatment.</div>
 </div>
 </li>
 <li><div class="line-block">
-<div class="line"><code class="docutils literal notranslate"><span class="pre">HookClass_DAE.py</span></code></div>
+<div class="line"><code class="docutils literal notranslate"><span class="pre">hooksDAE.py</span></code></div>
 <div class="line">Simple hook classes to read out the approximate solution and error after each time step.</div>
 </div>
 </li>
 <li><div class="line-block">
-<div class="line"><code class="docutils literal notranslate"><span class="pre">ProblemDAE.py</span></code></div>
+<div class="line"><code class="docutils literal notranslate"><span class="pre">problemDAE.py</span></code></div>
 <div class="line">Parent class for DAE problems containing the method to solve the (non)-linear system at each node/stage.</div>
 </div>
 </li>
@@ -97,7 +97,7 @@ <h2>Project overview<a class="headerlink" href="#project-overview" title="Link t
 <li><dl>
 <dt>problems</dt><dd><ul>
 <li><div class="line-block">
-<div class="line"><code class="docutils literal notranslate"><span class="pre">DiscontinousTestDAE</span></code></div>
+<div class="line"><code class="docutils literal notranslate"><span class="pre">discontinousTestDAE.py</span></code></div>
 <div class="line">Simple nonlinear semi-explicit index-1 DAE with discrete state event whose event time is known.</div>
 </div>
 </li>
@@ -112,22 +112,22 @@ <h2>Project overview<a class="headerlink" href="#project-overview" title="Link t
 </div>
 </li>
 <li><div class="line-block">
-<div class="line"><code class="docutils literal notranslate"><span class="pre">simple_DAE.py</span></code></div>
+<div class="line"><code class="docutils literal notranslate"><span class="pre">simpleDAE.py</span></code></div>
 <div class="line">Linear semi-explicit index-2 system of Hessenberg form with known analytical solution.</div>
 </div>
 </li>
 <li><div class="line-block">
-<div class="line"><code class="docutils literal notranslate"><span class="pre">synchronous_machine.py</span></code></div>
+<div class="line"><code class="docutils literal notranslate"><span class="pre">synchronousMachine.py</span></code></div>
 <div class="line">Synchronous machine model attached to an infinite bus undergoing torque disturbance test. Results in an index-1 system.</div>
 </div>
 </li>
 <li><div class="line-block">
-<div class="line"><code class="docutils literal notranslate"><span class="pre">transistor_amplifier.py</span></code></div>
+<div class="line"><code class="docutils literal notranslate"><span class="pre">transistorAmplifier.py</span></code></div>
 <div class="line">A two transistor amplifier model that results in an index-1 differential algebraic system. A nice example of a system resulting from a common real world situation.</div>
 </div>
 </li>
 <li><div class="line-block">
-<div class="line"><code class="docutils literal notranslate"><span class="pre">WSCC9BusSystem.py</span></code></div>
+<div class="line"><code class="docutils literal notranslate"><span class="pre">wscc9BusSystem.py</span></code></div>
 <div class="line">Large power system test case with three reduced model synchronous machines and nine buses. It is also part of the <a class="reference external" href="https://github.com/Parallel-in-Time/pySDC/tree/master/pySDC/projects/PinTSimE">PinTSimE project</a>.</div>
 </div>
 </li>
@@ -169,27 +169,27 @@ <h2>Project overview<a class="headerlink" href="#project-overview" title="Link t
 <li><dl>
 <dt>sweepers</dt><dd><ul>
 <li><div class="line-block">
-<div class="line"><code class="docutils literal notranslate"><span class="pre">fully_implicit_DAE.py</span></code></div>
+<div class="line"><code class="docutils literal notranslate"><span class="pre">fullyImplicitDAE.py</span></code></div>
 <div class="line">Sweeper that accepts a fully implicit formulation of a system of differential equations and applies to it a modified version of spectral deferred correction</div>
 </div>
 </li>
 <li><div class="line-block">
-<div class="line"><code class="docutils literal notranslate"><span class="pre">SemiImplicitDAE.py</span></code></div>
+<div class="line"><code class="docutils literal notranslate"><span class="pre">semiImplicitDAE.py</span></code></div>
 <div class="line">SDC sweeper especially for semi-explicit DAEs. This sweeper is based on ideas mentioned in <a class="reference external" href="https://www.sciencedirect.com/science/article/abs/pii/S0021999106003147">Huang et al. (2007)</a>.</div>
 </div>
 </li>
 <li><div class="line-block">
-<div class="line"><code class="docutils literal notranslate"><span class="pre">fully_implicit_DAE_MPI.py</span></code></div>
+<div class="line"><code class="docutils literal notranslate"><span class="pre">fullyImplicitDAEMPI.py</span></code></div>
 <div class="line">MPI version of fully-implicit SDC-DAE sweeper.</div>
 </div>
 </li>
 <li><div class="line-block">
-<div class="line"><code class="docutils literal notranslate"><span class="pre">SemiImplicitDAEMPI.py</span></code></div>
+<div class="line"><code class="docutils literal notranslate"><span class="pre">semiImplicitDAEMPI.py</span></code></div>
 <div class="line">MPI version of semi-implicit SDC-DAE sweeper.</div>
 </div>
 </li>
 <li><div class="line-block">
-<div class="line"><code class="docutils literal notranslate"><span class="pre">RungeKuttaDAE.py</span></code></div>
+<div class="line"><code class="docutils literal notranslate"><span class="pre">rungeKuttaDAE.py</span></code></div>
 <div class="line">Runge-Kutta methods that can be used to solve DAEs in pySDC in a fully-implicit description.</div>
 </div>
 </li>
@@ -275,11 +275,11 @@ <h2>How to implement a DAE problem in pySDC?<a class="headerlink" href="#how-to-
 \end{eqnarray}\]</div>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
 
-<span class="kn">from</span> <span class="nn">pySDC.projects.DAE.misc.ProblemDAE</span> <span class="kn">import</span> <span class="n">ptype_dae</span>
+<span class="kn">from</span> <span class="nn">pySDC.projects.DAE.misc.problemDAE</span> <span class="kn">import</span> <span class="n">ProblemDAE</span>
 <span class="kn">from</span> <span class="nn">pySDC.implementations.datatype_classes.mesh</span> <span class="kn">import</span> <span class="n">mesh</span>
 
 
-<span class="k">class</span> <span class="nc">problematic_f</span><span class="p">(</span><span class="n">ptype_dae</span><span class="p">):</span>
+<span class="k">class</span> <span class="nc">ProblematicF</span><span class="p">(</span><span class="n">ProblemDAE</span><span class="p">):</span>
 <span class="w">    </span><span class="sa">r</span><span class="sd">&quot;&quot;&quot;</span>
 <span class="sd">    Standard example of a very simple fully implicit index-2 differential algebraic equation (DAE) that is not</span>
 <span class="sd">    numerically solvable for certain choices of the parameter :math:`\eta`. The DAE system is given by</span>
@@ -382,8 +382,8 @@ <h2>How to implement a DAE problem in pySDC?<a class="headerlink" href="#how-to-
         <span class="k">return</span> <span class="n">me</span>
 </pre></div>
 </div>
-<p>The imports for the classes <code class="docutils literal notranslate"><span class="pre">ptype_dae</span></code> and <code class="docutils literal notranslate"><span class="pre">mesh</span></code> are necessary for implementing this problem.</p>
-<p>The problem class inherits from the parent <code class="docutils literal notranslate"><span class="pre">ptype_dae</span></code> that
+<p>The imports for the classes <code class="docutils literal notranslate"><span class="pre">ProblemDAE</span></code> and <code class="docutils literal notranslate"><span class="pre">mesh</span></code> are necessary for implementing this problem.</p>
+<p>The problem class inherits from the parent <code class="docutils literal notranslate"><span class="pre">ProblemDAE</span></code> that
 has the <code class="docutils literal notranslate"><span class="pre">solve_system</span></code> method solving the (non)-linear system to find the root, i.e., updating the values of the unknown derivative. All DAE problem classes should therefore inherit from this class.
 For this general type of DAEs the datatype <code class="docutils literal notranslate"><span class="pre">mesh</span></code> is used here for both, <code class="docutils literal notranslate"><span class="pre">u</span></code> and <code class="docutils literal notranslate"><span class="pre">f</span></code>.
 Further, the constructor requires at least the parameter <code class="docutils literal notranslate"><span class="pre">newton_tol</span></code>, the tolerance passed to the root solver. It is possible to set a default value (which is set to <code class="docutils literal notranslate"><span class="pre">1e-8</span></code> in the example above).</p>
@@ -404,13 +404,13 @@ <h2>How to implement a DAE problem in pySDC?<a class="headerlink" href="#how-to-
 u_2' (t) &amp;= \frac{1 - \alpha}{t - 2} u_1 (t) - u_2 (t) + (\alpha - 1) z (t) + 2 e^t, \\
 0 &amp;= (t + 2) u_1 (t) + (t^2 - 4) u_2 (t) - (t^2 + t - 2) e^t.\end{split}\]</div>
 <p>This example has two differential variables <span class="math notranslate nohighlight">\(u_1\)</span>, <span class="math notranslate nohighlight">\(u_2\)</span> (two differential equations) and one algebraic variable <span class="math notranslate nohighlight">\(z\)</span> (thus one algebraic equation).
-In <code class="docutils literal notranslate"><span class="pre">pySDC</span></code> defining a problem class for semi-explicit DAEs is slightly different to those of fully-implicit form. Additionally to <code class="docutils literal notranslate"><span class="pre">numpy</span></code> for the example the imports for the classes <code class="docutils literal notranslate"><span class="pre">ptype_dae</span></code> and <code class="docutils literal notranslate"><span class="pre">DAEMesh</span></code> are needed.</p>
+In <code class="docutils literal notranslate"><span class="pre">pySDC</span></code> defining a problem class for semi-explicit DAEs is slightly different to those of fully-implicit form. Additionally to <code class="docutils literal notranslate"><span class="pre">numpy</span></code> for the example the imports for the classes <code class="docutils literal notranslate"><span class="pre">ProblemDAE</span></code> and <code class="docutils literal notranslate"><span class="pre">MeshDAE</span></code> are needed.</p>
 <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
 
-<span class="kn">from</span> <span class="nn">pySDC.projects.DAE.misc.ProblemDAE</span> <span class="kn">import</span> <span class="n">ptype_dae</span>
+<span class="kn">from</span> <span class="nn">pySDC.projects.DAE.misc.problemDAE</span> <span class="kn">import</span> <span class="n">ProblemDAE</span>
 
 
-<span class="k">class</span> <span class="nc">simple_dae_1</span><span class="p">(</span><span class="n">ptype_dae</span><span class="p">):</span>
+<span class="k">class</span> <span class="nc">SimpleDAE</span><span class="p">(</span><span class="n">ProblemDAE</span><span class="p">):</span>
 <span class="w">    </span><span class="sa">r</span><span class="sd">&quot;&quot;&quot;</span>
 <span class="sd">    Example implementing a smooth linear index-2 differential-algebraic equation (DAE) with known analytical solution.</span>
 <span class="sd">    The DAE system is given by</span>
@@ -522,11 +522,11 @@ <h2>How to implement a DAE problem in pySDC?<a class="headerlink" href="#how-to-
         <span class="k">return</span> <span class="n">me</span>
 </pre></div>
 </div>
-<p>This problem class inherits again from <code class="docutils literal notranslate"><span class="pre">ptype_dae</span></code>. In contrast, for the solution <code class="docutils literal notranslate"><span class="pre">u</span></code> and the right-hand side of the <code class="docutils literal notranslate"><span class="pre">f</span></code>
-a different datatype <code class="docutils literal notranslate"><span class="pre">DAEMesh</span></code> is used that allows to separate between the differential variables and the algebraic variables as well
+<p>This problem class inherits again from <code class="docutils literal notranslate"><span class="pre">ProblemDAE</span></code>. In contrast, for the solution <code class="docutils literal notranslate"><span class="pre">u</span></code> and the right-hand side of the <code class="docutils literal notranslate"><span class="pre">f</span></code>
+a different datatype <code class="docutils literal notranslate"><span class="pre">MeshDAE</span></code> is used that allows to separate between the differential variables and the algebraic variables as well
 as for the equations. The tolerance for the root solver is passed with a default value of <code class="docutils literal notranslate"><span class="pre">1e-10</span></code> and the number of unknowns is <span class="math notranslate nohighlight">\(3\)</span>, i.e., <code class="docutils literal notranslate"><span class="pre">nvars=3</span></code>.
 The problem-specific parameter <code class="docutils literal notranslate"><span class="pre">a</span></code> has a default value of <code class="docutils literal notranslate"><span class="pre">10.0</span></code>.</p>
-<p>In the <code class="docutils literal notranslate"><span class="pre">eval_f</span></code> method the equations and the variables are now separated using the components of the <code class="docutils literal notranslate"><span class="pre">DAEMesh</span></code>. Recall that <code class="docutils literal notranslate"><span class="pre">eval_f</span></code> returns the right-hand side function so that we have a root problem. However, for this semi-explicit DAE this is not the case, but we can change that by rewriting the system to</p>
+<p>In the <code class="docutils literal notranslate"><span class="pre">eval_f</span></code> method the equations and the variables are now separated using the components of the <code class="docutils literal notranslate"><span class="pre">MeshDAE</span></code>. Recall that <code class="docutils literal notranslate"><span class="pre">eval_f</span></code> returns the right-hand side function so that we have a root problem. However, for this semi-explicit DAE this is not the case, but we can change that by rewriting the system to</p>
 <div class="math notranslate nohighlight">
 \[\begin{split}0 &amp;= f \left(y (t), z (t), t\right) - y' (t) \\
 0 &amp;= g \left(y (t), z (t), t\right).\end{split}\]</div>
diff --git a/projects/Hamiltonian.html b/projects/Hamiltonian.html
index 7c3f17055f..697a4f4437 100644
--- a/projects/Hamiltonian.html
+++ b/projects/Hamiltonian.html
@@ -866,7 +866,7 @@ <h2>Fermi-Pasta-Ulam-Tsingou problem<a class="headerlink" href="#fermi-pasta-ula
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">7</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mi">475</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">2.10</span> <span class="o">--</span> <span class="mf">4.42</span>
-<span class="o">...</span> <span class="n">took</span> <span class="mf">38.7233</span> <span class="n">seconds</span> <span class="n">to</span> <span class="n">run</span> <span class="n">this</span><span class="o">.</span>
+<span class="o">...</span> <span class="n">took</span> <span class="mf">38.8481</span> <span class="n">seconds</span> <span class="n">to</span> <span class="n">run</span> <span class="n">this</span><span class="o">.</span>
 </pre></div>
 </div>
 <a class="reference internal image-reference" href="../_images/fput_hamiltonian.png"><img alt="../_images/fput_hamiltonian.png" src="../_images/fput_hamiltonian.png" style="width: 383.0px; height: 212.0px;" />
diff --git a/projects/doc_fput.html b/projects/doc_fput.html
index 95068a73c4..9e4393055b 100644
--- a/projects/doc_fput.html
+++ b/projects/doc_fput.html
@@ -284,7 +284,7 @@ <h3>Navigation</h3>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">7</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mi">475</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">2.10</span> <span class="o">--</span> <span class="mf">4.42</span>
-<span class="o">...</span> <span class="n">took</span> <span class="mf">38.7233</span> <span class="n">seconds</span> <span class="n">to</span> <span class="n">run</span> <span class="n">this</span><span class="o">.</span>
+<span class="o">...</span> <span class="n">took</span> <span class="mf">38.8481</span> <span class="n">seconds</span> <span class="n">to</span> <span class="n">run</span> <span class="n">this</span><span class="o">.</span>
 </pre></div>
 </div>
 <a class="reference internal image-reference" href="../_images/fput_hamiltonian.png"><img alt="../_images/fput_hamiltonian.png" src="../_images/fput_hamiltonian.png" style="width: 383.0px; height: 212.0px;" />
diff --git a/searchindex.js b/searchindex.js
index ea2ceeeacf..f8ba5b693b 100644
--- a/searchindex.js
+++ b/searchindex.js
@@ -1 +1 @@
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"implementations.sweeper_classes.Runge_Kutta.ForwardEuler.generator", false]], "generator (heun_euler attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.Heun_Euler.generator", false]], "generator (implicitmidpointmethod attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.ImplicitMidpointMethod.generator", false]], "generator (rk4 attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.RK4.generator", false]], "generator_exp (ark548l2saerk2 attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.ARK548L2SAERK2.generator_EXP", false]], "generator_imp (ark548l2saesdirk attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.ARK548L2SAESDIRK.generator_IMP", false]], "generic_implicit (class in implementations.sweeper_classes.generic_implicit)": [[155, "implementations.sweeper_classes.generic_implicit.generic_implicit", false]], "generic_implicit_mpi (class in implementations.sweeper_classes.generic_implicit_mpi)": [[156, "implementations.sweeper_classes.generic_implicit_MPI.generic_implicit_MPI", false]], "genericndimfindiff (class in implementations.problem_classes.generic_nd_fd)": [[144, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff", false]], "get() (frozenclass method)": [[58, "helpers.pysdc_helper.FrozenClass.get", false]], "get2dmatrix() (in module implementations.problem_classes.boussinesq_helpers.build2dfdmatrix)": [[137, "implementations.problem_classes.boussinesq_helpers.build2DFDMatrix.get2DMatrix", false]], "get2dmesh() (in module implementations.problem_classes.boussinesq_helpers.build2dfdmatrix)": [[137, "implementations.problem_classes.boussinesq_helpers.build2DFDMatrix.get2DMesh", false]], "get2dupwindmatrix() (in module implementations.problem_classes.boussinesq_helpers.build2dfdmatrix)": [[137, "implementations.problem_classes.boussinesq_helpers.build2DFDMatrix.get2DUpwindMatrix", false]], "get_1d_grid() (in module helpers.problem_helper)": [[57, "helpers.problem_helper.get_1d_grid", false]], "get_butcher_tableau() (rungekutta class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.RungeKutta.get_Butcher_tableau", false]], "get_butcher_tableau_explicit() (rungekuttaimex class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.RungeKuttaIMEX.get_Butcher_tableau_explicit", false]], "get_convergence() (adaptivitycollocation method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityCollocation.get_convergence", false]], "get_convergence() (adaptivityextrapolationwithinq method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityExtrapolationWithinQ.get_convergence", false]], "get_convergence() (adaptivityforconvergedcollocationproblems method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityForConvergedCollocationProblems.get_convergence", false]], "get_convergence() (adaptivitypolynomialerror method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityPolynomialError.get_convergence", false]], "get_convergence_controllers_as_table() (controller method)": [[45, "core.controller.Controller.get_convergence_controllers_as_table", false]], "get_count() (ncclcomm static method)": [[55, "helpers.NCCL_communicator.NCCLComm.get_count", false]], "get_default_sweeper_class() (genericndimfindiff class method)": [[144, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.get_default_sweeper_class", false]], "get_default_sweeper_class() (problem class method)": [[50, "core.problem.Problem.get_default_sweeper_class", false]], "get_dtype() (ncclcomm static method)": [[55, "helpers.NCCL_communicator.NCCLComm.get_dtype", false]], "get_extrapolated_error() (estimateextrapolationerrornonmpi method)": [[77, "implementations.convergence_controller_classes.estimate_extrapolation_error.EstimateExtrapolationErrorNonMPI.get_extrapolated_error", false]], "get_extrapolated_solution() (estimateextrapolationerrornonmpi method)": [[77, "implementations.convergence_controller_classes.estimate_extrapolation_error.EstimateExtrapolationErrorNonMPI.get_extrapolated_solution", false]], "get_extrapolation_coefficients() (estimateextrapolationerrorbase method)": [[77, "implementations.convergence_controller_classes.estimate_extrapolation_error.EstimateExtrapolationErrorBase.get_extrapolation_coefficients", false]], "get_fig() (brusselator method)": [[105, "implementations.problem_classes.Brusselator.Brusselator.get_fig", false]], "get_fig() (problem method)": [[50, "core.problem.Problem.get_fig", false]], "get_finite_difference_matrix() (in module helpers.problem_helper)": [[57, "helpers.problem_helper.get_finite_difference_matrix", false]], "get_finite_difference_stencil() (in module helpers.problem_helper)": [[57, "helpers.problem_helper.get_finite_difference_stencil", false]], "get_full_f() (rungekutta method)": [[151, "implementations.sweeper_classes.Runge_Kutta.RungeKutta.get_full_f", false]], "get_full_f() (rungekuttanystrom method)": [[152, "implementations.sweeper_classes.Runge_Kutta_Nystrom.RungeKuttaNystrom.get_full_f", false]], "get_implementation() (basicrestarting class method)": [[71, "implementations.convergence_controller_classes.basic_restarting.BasicRestarting.get_implementation", false]], "get_implementation() (estimateembeddederror class method)": [[76, "implementations.convergence_controller_classes.estimate_embedded_error.EstimateEmbeddedError.get_implementation", false]], "get_implementation() (spreadstepsizesblockwise class method)": [[82, "implementations.convergence_controller_classes.spread_step_sizes.SpreadStepSizesBlockwise.get_implementation", false]], "get_interactions() (penningtrap method)": [[126, "implementations.problem_classes.PenningTrap_3D.penningtrap.get_interactions", false]], "get_list_of_types() (in module helpers.stats_helper)": [[60, "helpers.stats_helper.get_list_of_types", false]], "get_local_error_estimate() (adaptivity method)": [[70, "implementations.convergence_controller_classes.adaptivity.Adaptivity.get_local_error_estimate", false]], "get_local_error_estimate() (adaptivitybase method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityBase.get_local_error_estimate", false]], "get_local_error_estimate() (adaptivitycollocation method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityCollocation.get_local_error_estimate", false]], "get_local_error_estimate() (adaptivityextrapolationwithinq method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityExtrapolationWithinQ.get_local_error_estimate", false]], "get_local_error_estimate() (adaptivitypolynomialerror method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityPolynomialError.get_local_error_estimate", false]], "get_local_error_estimate() (adaptivityresidual method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityResidual.get_local_error_estimate", false]], "get_new_step_size() (adaptivity method)": [[70, "implementations.convergence_controller_classes.adaptivity.Adaptivity.get_new_step_size", false]], "get_new_step_size() (adaptivitybase method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityBase.get_new_step_size", false]], "get_new_step_size() (adaptivitycollocation method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityCollocation.get_new_step_size", false]], "get_new_step_size() (adaptivityextrapolationwithinq method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityExtrapolationWithinQ.get_new_step_size", false]], "get_new_step_size() (adaptivitypolynomialerror method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityPolynomialError.get_new_step_size", false]], "get_new_step_size() (adaptivityresidual method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityResidual.get_new_step_size", false]], "get_new_step_size() (adaptivityrk method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityRK.get_new_step_size", false]], "get_new_step_size() (convergencecontroller method)": [[46, "core.convergence_controller.ConvergenceController.get_new_step_size", false]], "get_new_step_size() (stepsizelimiter method)": [[83, "implementations.convergence_controller_classes.step_size_limiter.StepSizeLimiter.get_new_step_size", false]], "get_new_step_size() (stepsizeslopelimiter method)": [[83, "implementations.convergence_controller_classes.step_size_limiter.StepSizeSlopeLimiter.get_new_step_size", false]], "get_non_linear_jacobian() (quench method)": [[128, "implementations.problem_classes.Quench.Quench.get_non_linear_Jacobian", false]], "get_op() (ncclcomm method)": [[55, "helpers.NCCL_communicator.NCCLComm.get_op", false]], "get_problem_dict() (battery_n_capacitors method)": [[103, "implementations.problem_classes.Battery.battery_n_capacitors.get_problem_dict", false]], "get_q_matrix() (rungekutta class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.RungeKutta.get_Q_matrix", false]], "get_qdelta_explicit() (sweeper method)": [[53, "core.sweeper.Sweeper.get_Qdelta_explicit", false]], "get_qdelta_implicit() (sweeper method)": [[53, "core.sweeper.Sweeper.get_Qdelta_implicit", false]], "get_scalar_problems_manysweep_mat() (imex_1st_order method)": [[157, "implementations.sweeper_classes.imex_1st_order.imex_1st_order.get_scalar_problems_manysweep_mat", false]], "get_scalar_problems_manysweep_mats() (boris_2nd_order method)": [[153, "implementations.sweeper_classes.boris_2nd_order.boris_2nd_order.get_scalar_problems_manysweep_mats", false]], "get_scalar_problems_picardsweep_mats() (boris_2nd_order method)": [[153, "implementations.sweeper_classes.boris_2nd_order.boris_2nd_order.get_scalar_problems_picardsweep_mats", false]], "get_scalar_problems_sweeper_mats() (boris_2nd_order method)": [[153, "implementations.sweeper_classes.boris_2nd_order.boris_2nd_order.get_scalar_problems_sweeper_mats", false]], "get_scalar_problems_sweeper_mats() (imex_1st_order method)": [[157, "implementations.sweeper_classes.imex_1st_order.imex_1st_order.get_scalar_problems_sweeper_mats", false]], "get_sorted() (in module helpers.stats_helper)": [[60, "helpers.stats_helper.get_sorted", false]], "get_step_from_which_to_spread() (spreadstepsizesblockwise method)": [[82, "implementations.convergence_controller_classes.spread_step_sizes.SpreadStepSizesBlockwise.get_step_from_which_to_spread", false]], "get_step_from_which_to_spread() (spreadstepsizesblockwisempi method)": [[82, "implementations.convergence_controller_classes.spread_step_sizes.SpreadStepSizesBlockwiseMPI.get_step_from_which_to_spread", false]], "get_step_from_which_to_spread() (spreadstepsizesblockwisenonmpi method)": [[82, "implementations.convergence_controller_classes.spread_step_sizes.SpreadStepSizesBlockwiseNonMPI.get_step_from_which_to_spread", false]], "get_steps() (in module helpers.problem_helper)": [[57, "helpers.problem_helper.get_steps", false]], "get_sweeper_mats() (boris_2nd_order method)": [[153, "implementations.sweeper_classes.boris_2nd_order.boris_2nd_order.get_sweeper_mats", false]], "get_sweeper_mats() (imex_1st_order method)": [[157, "implementations.sweeper_classes.imex_1st_order.imex_1st_order.get_sweeper_mats", false]], "get_switching_info() (battery_n_capacitors method)": [[103, "implementations.problem_classes.Battery.battery_n_capacitors.get_switching_info", false]], "get_switching_info() (discontinuoustestode method)": [[107, "implementations.problem_classes.DiscontinuousTestODE.DiscontinuousTestODE.get_switching_info", false]], "get_sys_mat() (petsc_fisher_multiimplicit method)": [[112, "implementations.problem_classes.GeneralizedFisher_1D_PETSc.petsc_fisher_multiimplicit.get_sys_mat", false]], "get_transfer_matrix_q() (basetransfer static method)": [[42, "core.base_transfer.BaseTransfer.get_transfer_matrix_Q", false]], "get_update_order() (ark54 class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.ARK54.get_update_order", false]], "get_update_order() (ark548l2sa class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.ARK548L2SA.get_update_order", false]], "get_update_order() (ark548l2saerk class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.ARK548L2SAERK.get_update_order", false]], "get_update_order() (ark548l2saesdirk2 class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.ARK548L2SAESDIRK2.get_update_order", false]], "get_update_order() (cash_karp class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.Cash_Karp.get_update_order", false]], "get_update_order() (dirk43 class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.DIRK43.get_update_order", false]], "get_update_order() (esdirk43 class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.ESDIRK43.get_update_order", false]], "get_update_order() (esdirk53 class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.ESDIRK53.get_update_order", false]], "get_update_order() (heun_euler class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.Heun_Euler.get_update_order", false]], "get_update_order() (rungekutta class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.RungeKutta.get_update_order", false]], "getbchorizontal() (in module implementations.problem_classes.boussinesq_helpers.build2dfdmatrix)": [[137, "implementations.problem_classes.boussinesq_helpers.build2DFDMatrix.getBCHorizontal", false]], "getbcleft() (in module implementations.problem_classes.acoustic_helpers.buildfdmatrix)": [[133, "implementations.problem_classes.acoustic_helpers.buildFDMatrix.getBCLeft", false]], "getbcleft() (in module implementations.problem_classes.boussinesq_helpers.buildfdmatrix)": [[139, "implementations.problem_classes.boussinesq_helpers.buildFDMatrix.getBCLeft", false]], "getbcright() (in module implementations.problem_classes.acoustic_helpers.buildfdmatrix)": [[133, "implementations.problem_classes.acoustic_helpers.buildFDMatrix.getBCRight", false]], "getbcright() (in module implementations.problem_classes.boussinesq_helpers.buildfdmatrix)": [[139, "implementations.problem_classes.boussinesq_helpers.buildFDMatrix.getBCRight", false]], "getbcvertical() (in module implementations.problem_classes.boussinesq_helpers.build2dfdmatrix)": [[137, "implementations.problem_classes.boussinesq_helpers.build2DFDMatrix.getBCVertical", false]], "getboussinesq2dmatrix() (in module implementations.problem_classes.boussinesq_helpers.buildboussinesq2dmatrix)": [[138, "implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix.getBoussinesq2DMatrix", false]], "getboussinesq2dupwindmatrix() (in module implementations.problem_classes.boussinesq_helpers.buildboussinesq2dmatrix)": [[138, "implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix.getBoussinesq2DUpwindMatrix", false]], "getboussinesqbchorizontal() (in module implementations.problem_classes.boussinesq_helpers.buildboussinesq2dmatrix)": [[138, "implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix.getBoussinesqBCHorizontal", false]], "getboussinesqbcvertical() (in module implementations.problem_classes.boussinesq_helpers.buildboussinesq2dmatrix)": [[138, "implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix.getBoussinesqBCVertical", false]], "getcounter() (callback method)": [[140, "implementations.problem_classes.boussinesq_helpers.helper_classes.Callback.getcounter", false]], "gethorizontaldx() (in module implementations.problem_classes.acoustic_helpers.buildfdmatrix)": [[133, "implementations.problem_classes.acoustic_helpers.buildFDMatrix.getHorizontalDx", false]], "getmatrix() (in module implementations.problem_classes.acoustic_helpers.buildfdmatrix)": [[133, "implementations.problem_classes.acoustic_helpers.buildFDMatrix.getMatrix", false]], "getmatrix() (in module implementations.problem_classes.boussinesq_helpers.buildfdmatrix)": [[139, "implementations.problem_classes.boussinesq_helpers.buildFDMatrix.getMatrix", false]], "getresidual() (callback method)": [[140, "implementations.problem_classes.boussinesq_helpers.helper_classes.Callback.getresidual", false]], "getupwindmatrix() (in module implementations.problem_classes.boussinesq_helpers.buildfdmatrix)": [[139, "implementations.problem_classes.boussinesq_helpers.buildFDMatrix.getUpwindMatrix", false]], "getwave1dadvectionmatrix() (in module implementations.problem_classes.acoustic_helpers.buildwave1dmatrix)": [[134, "implementations.problem_classes.acoustic_helpers.buildWave1DMatrix.getWave1DAdvectionMatrix", false]], "getwave1dmatrix() (in module implementations.problem_classes.acoustic_helpers.buildwave1dmatrix)": [[134, "implementations.problem_classes.acoustic_helpers.buildWave1DMatrix.getWave1DMatrix", false]], "getwavebcleft() (in module implementations.problem_classes.acoustic_helpers.buildwave1dmatrix)": [[134, "implementations.problem_classes.acoustic_helpers.buildWave1DMatrix.getWaveBCLeft", false]], "getwavebcright() (in module implementations.problem_classes.acoustic_helpers.buildwave1dmatrix)": [[134, "implementations.problem_classes.acoustic_helpers.buildWave1DMatrix.getWaveBCRight", false]], "gmres_logger (boussinesq_2d_imex attribute)": [[104, "implementations.problem_classes.Boussinesq_2D_FD_imex.boussinesq_2d_imex.gmres_logger", false]], "grayscott_imex_diffusion (class in implementations.problem_classes.grayscott_mpifft)": [[115, "implementations.problem_classes.GrayScott_MPIFFT.grayscott_imex_diffusion", false]], "grayscott_imex_linear (class in implementations.problem_classes.grayscott_mpifft)": [[115, "implementations.problem_classes.GrayScott_MPIFFT.grayscott_imex_linear", false]], "grayscott_mi_diffusion (class in implementations.problem_classes.grayscott_mpifft)": [[115, "implementations.problem_classes.GrayScott_MPIFFT.grayscott_mi_diffusion", false]], "grayscott_mi_linear (class in implementations.problem_classes.grayscott_mpifft)": [[115, "implementations.problem_classes.GrayScott_MPIFFT.grayscott_mi_linear", false]], "grids (genericndimfindiff property)": [[144, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.grids", false]], "gs_full (class in implementations.problem_classes.grayscott_2d_petsc_periodic)": [[114, "implementations.problem_classes.GrayScott_2D_PETSc_periodic.GS_full", false]], "gs_reaction (class in implementations.problem_classes.grayscott_2d_petsc_periodic)": [[114, "implementations.problem_classes.GrayScott_2D_PETSc_periodic.GS_reaction", false]], "h (boussinesq_2d_imex attribute)": [[104, "implementations.problem_classes.Boussinesq_2D_FD_imex.boussinesq_2d_imex.h", false]], "harmonic_oscillator (class in implementations.problem_classes.harmonicoscillator)": [[116, "implementations.problem_classes.HarmonicOscillator.harmonic_oscillator", false]], "heat2d_petsc_forced (class in implementations.problem_classes.heatequation_2d_petsc_forced)": [[118, "implementations.problem_classes.HeatEquation_2D_PETSc_forced.heat2d_petsc_forced", false]], "heatnd_forced (class in implementations.problem_classes.heatequation_nd_fd)": [[119, "implementations.problem_classes.HeatEquation_ND_FD.heatNd_forced", false]], "heatnd_forced (class in implementations.problem_classes.heatequation_nd_fd_cupy)": [[120, "implementations.problem_classes.HeatEquation_ND_FD_CuPy.heatNd_forced", false]], "heatnd_unforced (class in implementations.problem_classes.heatequation_nd_fd)": [[119, "implementations.problem_classes.HeatEquation_ND_FD.heatNd_unforced", false]], "heatnd_unforced (class in implementations.problem_classes.heatequation_nd_fd_cupy)": [[120, "implementations.problem_classes.HeatEquation_ND_FD_CuPy.heatNd_unforced", false]], "helpers": [[54, "module-helpers", false]], "helpers.nccl_communicator": [[55, "module-helpers.NCCL_communicator", false]], "helpers.plot_helper": [[56, "module-helpers.plot_helper", false]], "helpers.problem_helper": [[57, "module-helpers.problem_helper", false]], "helpers.pysdc_helper": [[58, "module-helpers.pysdc_helper", false]], "helpers.setup_helper": [[59, "module-helpers.setup_helper", false]], "helpers.stats_helper": [[60, "module-helpers.stats_helper", false]], "helpers.testing": [[61, "module-helpers.testing", false]], "helpers.transfer_helper": [[62, "module-helpers.transfer_helper", false]], "helpers.visualization_tools": [[63, "module-helpers.visualization_tools", false]], "henon_heiles (class in 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197, 200, 201, 202, 203, 204, 206, 207], "createbinari": [17, 20], "creation": [0, 13, 22, 26, 29, 33, 37, 178, 179, 180, 181, 182, 186, 193, 201, 202, 203, 206], "criteria": [46, 72], "criterion": [45, 70, 196, 206], "crop": 38, "crucial": [79, 203], "csc": [94, 111, 119, 120, 128, 144], "csc_matrix": [62, 92, 104, 129], "csv": 40, "ct": 7, "cube": 39, "cube_1d": 36, "cubic": 109, "cupi": [0, 5, 57, 86, 97, 99, 120], "cupy_mesh": [85, 97, 99, 120], "cupymulticomponentmesh": [85, 86], "current": [3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 17, 19, 20, 22, 26, 29, 33, 37, 43, 46, 48, 49, 50, 52, 53, 62, 66, 67, 69, 70, 71, 72, 73, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 92, 93, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 128, 129, 130, 131, 143, 144, 145, 146, 147, 148, 150, 151, 156, 159, 192, 196, 201, 205, 206, 207], "curv": 10, "custom": [2, 6, 8, 15, 42, 48, 49, 50, 51, 52, 53, 153, 154, 157, 159, 160, 161, 163, 164, 166, 167, 169, 202], "custon": [168, 170, 172], "cute": 9, "cv": 128, "cwd": [13, 17, 20, 22, 26, 29, 33, 37, 192, 205], "cycl": [14, 106], "d": [12, 15, 29, 30, 36, 37, 86, 88, 92, 101, 102, 103, 104, 106, 107, 108, 109, 110, 112, 114, 115, 116, 117, 118, 121, 123, 125, 127, 129, 130, 143, 144, 147, 192, 205], "d_collocation_accuracy_check": [176, 200], "d_mlsdc_with_particl": [186, 203], "d_pysdc_with_pytorch": [196, 206], "d_u": [113, 114, 115], "d_upwind": 104, "d_v": [113, 114, 115], "d_w": [95, 100, 101], "da": [112, 114], "dae": 0, "daemesh": 12, "dahlquist": 38, "dalcin": [112, 114, 115, 118, 124, 143], "damp": 116, "daniel": [38, 40, 126], "darl": 151, "dash": 19, "dat": [13, 17, 20, 22, 26, 33], "data": [0, 3, 10, 11, 12, 13, 17, 19, 20, 22, 26, 27, 28, 29, 30, 31, 33, 34, 35, 37, 40, 43, 46, 47, 48, 49, 50, 51, 55, 60, 61, 66, 67, 79, 86, 87, 88, 89, 90, 92, 126, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 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205, 206, 207], "default": [4, 5, 9, 12, 17, 20, 31, 37, 46, 48, 50, 53, 58, 59, 66, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 84, 113, 117, 123, 128, 131, 144, 146, 147, 150, 156, 201, 203], "default_hook": [179, 181, 201, 202], "defaultdict": [13, 22, 26, 33], "defaulthook": [179, 201], "defer": [0, 3, 10, 12, 34, 36, 38, 92, 108, 157], "defin": [0, 2, 3, 6, 7, 10, 12, 35, 39, 42, 43, 50, 52, 70, 71, 72, 74, 80, 82, 83, 84, 106, 107, 108, 111, 112, 113, 116, 117, 118, 131, 144, 146, 147, 153, 157, 179, 181, 189, 201, 202, 203, 204, 206], "definit": [0, 7, 156, 202], "degre": [27, 28, 30, 31, 35, 37, 57, 92, 111, 113, 114, 115, 117, 131, 144, 148, 173, 175, 177, 178, 179, 180, 183, 184, 185, 187, 188, 189, 190, 195, 200, 201, 202, 203, 204, 205, 206], "del": [31, 37, 192, 205], "delet": [5, 77], "delta": [2, 12, 30, 31, 37, 95, 96, 97, 98, 99, 100, 101, 105, 108, 111, 112, 113, 114, 115, 124, 131], "delta_m": 43, "demonstr": [1, 10, 11, 19, 195, 196, 197, 201, 202, 203, 204, 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188, 189, 190, 193, 194, 195, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207], "dictionari": [0, 13, 17, 20, 22, 26, 27, 28, 29, 33, 35, 37, 44, 46, 47, 48, 52, 60, 69, 70, 71, 72, 74, 78, 80, 82, 83, 84, 103, 156, 174, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 193, 194, 195, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207], "did": [5, 13, 17, 20, 22, 26, 29, 30, 31, 33, 37, 77, 174, 175, 176, 177, 178, 179, 183, 192, 195, 200, 201, 203, 205, 206], "die": 126, "diff": [5, 12, 27, 35, 185, 198, 203, 207], "diff_g": [198, 207], "diff_jac": [198, 207], "diff_jac_g": [198, 207], "differ": [0, 1, 3, 6, 10, 11, 12, 13, 16, 17, 18, 19, 27, 28, 29, 34, 35, 38, 42, 45, 46, 57, 61, 69, 70, 73, 75, 76, 77, 78, 79, 81, 94, 95, 96, 98, 99, 100, 101, 103, 104, 106, 107, 111, 118, 119, 120, 123, 128, 130, 144, 150, 163, 164, 181, 182, 185, 186, 188, 189, 190, 192, 193, 196, 198, 200, 201, 202, 203, 204, 205, 206, 207], "differenti": [10, 14, 16, 36, 79, 102, 103, 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"implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced module", "implementations.problem_classes.HeatEquation_2D_PETSc_forced module", "implementations.problem_classes.HeatEquation_ND_FD module", "implementations.problem_classes.HeatEquation_ND_FD_CuPy module", "implementations.problem_classes.HenonHeiles module", "implementations.problem_classes.LogisticEquation module", "implementations.problem_classes.Lorenz module", "implementations.problem_classes.NonlinearSchroedinger_MPIFFT module", "implementations.problem_classes.OuterSolarSystem module", "implementations.problem_classes.PenningTrap_3D module", "implementations.problem_classes.Piline module", "implementations.problem_classes.Quench module", "implementations.problem_classes.TestEquation_0D module", "implementations.problem_classes.Van_der_Pol_implicit module", "implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic module", "implementations.problem_classes.acoustic_helpers package", "implementations.problem_classes.acoustic_helpers.buildFDMatrix module", "implementations.problem_classes.acoustic_helpers.buildWave1DMatrix module", "implementations.problem_classes.acoustic_helpers.standard_integrators module", "implementations.problem_classes.boussinesq_helpers package", "implementations.problem_classes.boussinesq_helpers.build2DFDMatrix module", "implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix module", "implementations.problem_classes.boussinesq_helpers.buildFDMatrix module", "implementations.problem_classes.boussinesq_helpers.helper_classes module", "implementations.problem_classes.boussinesq_helpers.standard_integrators module", "implementations.problem_classes.boussinesq_helpers.unflatten module", "implementations.problem_classes.generic_MPIFFT_Laplacian module", "implementations.problem_classes.generic_ND_FD module", "implementations.problem_classes.nonlinear_ODE_1 module", "implementations.problem_classes.odeScalar module", 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title&gt;", "&lt;no title&gt;", "&lt;no title&gt;", "Step-1: A first spatial problem", "Step-2: Data structures and my first sweeper", "Step-3: Statistics and a new sweeper", "Step-4: Multilevel SDC", "Step-5: PFASST", "Step-6: Advanced PFASST controllers", "Step-7: pySDC with external libraries", "Step-8: Advanced topics"], "titleterms": {"": 201, "1": [1, 200], "2": [1, 201], "3": [1, 202], "4": [1, 203], "5": 204, "6": 205, "7": 206, "8": 207, "A": [200, 201, 202, 203, 204, 205, 206, 207], "The": [36, 205], "To": 207, "abstract": 77, "accuraci": 200, "acknowledg": [3, 10], "acoust": 34, "acoustic_help": [132, 133, 134, 135], "acousticadvection_1d_fd_imex": 92, "ad": [9, 202], "adapt": [16, 70], "adaptive_colloc": 69, "add": 9, "advanc": [205, 207], "advect": [34, 204], "advectiondiffusionequation_1d_fft": 93, "advectionequation_nd_fd": 94, "algebra": 12, "allen": 11, "allencahn_1d_fd": 95, "allencahn_2d_fd": 96, "allencahn_2d_fd_gpu": 97, "allencahn_2d_fft": 98, 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202], "common": 44, "compress": 19, "concept": 19, "conduct": 1, "constant": 6, "contact": 40, "content": [41, 54, 64, 65, 68, 85, 91, 132, 136, 149, 162], "continu": [5, 9, 207], "contribut": [2, 3, 4, 10], "contributor": 1, "control": [45, 205], "controller_class": [65, 66, 67], "controller_mpi": 66, "controller_nonmpi": 67, "convent": 6, "converg": [15, 18, 36], "convergence_control": 46, "convergence_controller_class": [68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84], "convert": 14, "core": [41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53], "correct": [1, 15, 40], "coven": 1, "coverag": 5, "crash": 74, "cupy_mesh": 86, "custom": 7, "d": [200, 203, 206], "dae": 12, "data": 201, "datatype_class": [85, 86, 87, 88, 89, 90], "defer": [15, 40], "definit": 6, "descript": [44, 50], "detail": 12, "develop": 4, "differ": 37, "differenti": 12, "directori": 9, "discontinuoustestod": 107, "distribut": 205, "document": [5, 8, 10], "doi": 9, "drain": 14, 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"grayscott_1d_fenics_implicit": 113, "grayscott_2d_petsc_period": 114, "grayscott_mpifft": 115, "guid": 10, "guidelin": [1, 7], "harmonicoscil": 116, "heatequation_1d_fenics_matrix_forc": 117, "heatequation_2d_petsc_forc": 118, "heatequation_nd_fd": 119, "heatequation_nd_fd_cupi": 120, "helper": [54, 55, 56, 57, 58, 59, 60, 61, 62, 63], "helper_class": 140, "henonheil": 121, "hierarchi": [203, 204], "hook": 48, "hotrod": 79, "how": [2, 3, 10, 12], "hpc": 5, "i": 17, "imex_1st_ord": 157, "imex_1st_order_mass": 159, "imex_1st_order_mpi": 158, "implement": [7, 12, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172], "inexact": 80, "integr": [5, 9], "interpolate_between_restart": 81, "introduct": 19, "iter": [36, 207], "jobscript": 39, "level": [15, 49], "librari": 206, "line": 14, "lint": 5, "logisticequ": 122, "lorenz": 123, "main": 4, "manuscript": 38, "matrix": 35, "mesh": 88, "method": [19, 36, 40], "mlsdc": 203, "modal": 14, "model": 14, "modul": [6, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 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\ No newline at end of file
+Search.setIndex({"alltitles": {"1. Correction": [[1, "correction"]], "2. Warning": [[1, "warning"]], "3. Temporary Ban": [[1, "temporary-ban"]], "4. Permanent Ban": [[1, "permanent-ban"]], "API documentation": [[10, "api-documentation"]], "Abstract base class for extrapolated error estimates": [[77, "abstract-base-class-for-extrapolated-error-estimates"]], "Acknowledgements": [[3, "acknowledgements"], [10, "acknowledgements"]], "Acoustic-advection example": [[34, "acoustic-advection-example"]], "Add a directory in \u2018pySDC/projects\u2019": [[9, "add-a-directory-in-pysdc-projects"]], "Add an environment-file": [[9, "add-an-environment-file"]], "Add tests to the project": [[9, "add-tests-to-the-project"]], "Add the project to the continuous integration pipeline": [[9, "add-the-project-to-the-continuous-integration-pipeline"]], "Adding a project to pySDC (and automatic testing)": [[9, null]], "Allen-Cahn problems from Bayreuth": [[11, null]], "Application": [[11, "application"]], "Asymptotic convergence of PFASST": [[18, null]], "Attempts to parallelize SDC": [[37, null]], "Attribution": [[1, "attribution"]], "Battery drain model": 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"documentation-generation"]], "Documenting Code": [[8, null]], "Enforcement": [[1, "enforcement"]], "Enforcement Guidelines": [[1, "enforcement-guidelines"]], "Enforcement Responsibilities": [[1, "enforcement-responsibilities"]], "Experimental scripts": [[38, "experimental-scripts"]], "Exponential SDC for the Monodomain Equation in Cardiac Electrophysiology": [[36, null]], "Fast-Wave-Slow-Wave SDC": [[34, null]], "Feature development branches": [[4, "feature-development-branches"]], "Features": [[3, "features"], [10, "features"]], "Fermi-Pasta-Ulam-Tsingou problem": [[13, "fermi-pasta-ulam-tsingou-problem"]], "Figures for the manuscript": [[38, "figures-for-the-manuscript"]], "First definitions": [[6, "first-definitions"]], "Fisher and Gray-Scott equations": [[17, "fisher-and-gray-scott-equations"]], "Function and variables names": [[6, "function-and-variables-names"]], "Further/related files": [[11, "further-related-files"]], "Getting a DOI of pySDC for publication": [[9, "getting-a-doi-of-pysdc-for-publication"]], "Getting started": [[3, "getting-started"], [10, "getting-started"]], "HPC test environments": [[5, "hpc-test-environments"]], "How to cite": [[3, "how-to-cite"], [10, "how-to-cite"]], "How to contribute to pySDC": [[2, null]], "How to implement a DAE problem in pySDC?": [[12, "how-to-implement-a-dae-problem-in-pysdc"]], "Implementing a custom problem class": [[7, "implementing-a-custom-problem-class"]], "Introduction": [[19, "introduction"]], "Iterations": [[36, "iterations"]], "Jobscripts": [[39, "jobscripts"]], "Matrix-based PFASST": [[35, "matrix-based-pfasst"]], "Matrix-based versions of PFASST": [[35, null]], "Methods": [[19, "methods"]], "Module contents": [[41, "module-core"], [54, "module-helpers"], [64, "module-implementations"], [65, "module-implementations.controller_classes"], [68, "module-implementations.convergence_controller_classes"], [85, "module-implementations.datatype_classes"], [91, "module-implementations.problem_classes"], [132, "module-implementations.problem_classes.acoustic_helpers"], [136, "module-implementations.problem_classes.boussinesq_helpers"], [149, "module-implementations.sweeper_classes"], [162, "module-implementations.transfer_classes"]], "Monodomain equation": [[36, "monodomain-equation"]], "Multi-level RDC and PFASST with RDC": [[15, "multi-level-rdc-and-pfasst-with-rdc"]], "Naming conventions in pySDC": [[6, null]], "Node-parallel SDC with MPI": [[37, "node-parallel-sdc-with-mpi"], [37, "id1"]], "Numerical experiment scripts for the parallel SDC paper": [[38, null]], "Organisation of the project": [[18, "organisation-of-the-project"]], "Our Pledge": [[1, "our-pledge"]], "Our Standards": [[1, "our-standards"]], "Packages and modules names": [[6, "packages-and-modules-names"]], "Parallel-in-time simulation for multi-modal energy systems": [[14, null]], "Part A: Getting statistics": [[202, "part-a-getting-statistics"]], "Part A: Multistep 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implementations.problem_classes.heatequation_1d_fenics_matrix_forced)": [[117, "implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat", false]], "fenics_heat_mass (class in implementations.problem_classes.heatequation_1d_fenics_matrix_forced)": [[117, "implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass", false]], "fenics_heat_mass_timebc (class in implementations.problem_classes.heatequation_1d_fenics_matrix_forced)": [[117, "implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc", false]], "fenics_mesh (class in implementations.datatype_classes.fenics_mesh)": [[87, "implementations.datatype_classes.fenics_mesh.fenics_mesh", false]], "fenics_vortex_2d (class in implementations.problem_classes.vorticityvelocity_2d_fenics_periodic)": [[131, "implementations.problem_classes.VorticityVelocity_2D_FEniCS_periodic.fenics_vortex_2d", false]], "fenics_vortex_2d_mass (class in 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"implementations.problem_classes.generic_MPIFFT_Laplacian.IMEX_Laplacian_MPIFFT.fft", false]], "fft (nonlinearschroedinger_imex attribute)": [[124, "implementations.problem_classes.NonlinearSchroedinger_MPIFFT.nonlinearschroedinger_imex.fft", false]], "fft_backend (imex_laplacian_mpifft attribute)": [[143, "implementations.problem_classes.generic_MPIFFT_Laplacian.IMEX_Laplacian_MPIFFT.fft_backend", false]], "fft_comm_backend (imex_laplacian_mpifft attribute)": [[143, "implementations.problem_classes.generic_MPIFFT_Laplacian.IMEX_Laplacian_MPIFFT.fft_comm_backend", false]], "fft_to_fft (class in implementations.transfer_classes.transfermesh_mpifft)": [[169, "implementations.transfer_classes.TransferMesh_MPIFFT.fft_to_fft", false]], "fields (class in implementations.datatype_classes.particles)": [[89, "implementations.datatype_classes.particles.fields", false]], "fields.electric (class in implementations.datatype_classes.particles)": [[89, 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(bdf2 method)": [[135, "implementations.problem_classes.acoustic_helpers.standard_integrators.bdf2.firsttimestep", false], [141, "implementations.problem_classes.boussinesq_helpers.standard_integrators.bdf2.firsttimestep", false]], "fisher_full (class in implementations.problem_classes.generalizedfisher_1d_petsc)": [[112, "implementations.problem_classes.GeneralizedFisher_1D_PETSc.Fisher_full", false]], "fisher_reaction (class in implementations.problem_classes.generalizedfisher_1d_petsc)": [[112, "implementations.problem_classes.GeneralizedFisher_1D_PETSc.Fisher_reaction", false]], "fix_bc_for_residual (fenics_heat_mass attribute)": [[117, "implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass.fix_bc_for_residual", false]], "fix_bc_for_residual (fenics_heat_mass_timebc attribute)": [[117, "implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass_timebc.fix_bc_for_residual", false]], "fix_residual() (fenics_heat_mass method)": [[117, "implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced.fenics_heat_mass.fix_residual", false]], "fold (level attribute)": [[49, "core.level.Level.fold", false]], "formfunction() (fisher_full method)": [[112, "implementations.problem_classes.GeneralizedFisher_1D_PETSc.Fisher_full.formFunction", false]], "formfunction() (fisher_reaction method)": [[112, "implementations.problem_classes.GeneralizedFisher_1D_PETSc.Fisher_reaction.formFunction", false]], "formfunction() (gs_full method)": [[114, "implementations.problem_classes.GrayScott_2D_PETSc_periodic.GS_full.formFunction", false]], "formfunction() (gs_reaction method)": [[114, "implementations.problem_classes.GrayScott_2D_PETSc_periodic.GS_reaction.formFunction", false]], "formjacobian() (fisher_full method)": [[112, "implementations.problem_classes.GeneralizedFisher_1D_PETSc.Fisher_full.formJacobian", false]], "formjacobian() (fisher_reaction method)": [[112, 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"implementations.sweeper_classes.Runge_Kutta.Cash_Karp.generator", false]], "generator (cranknicholson attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.CrankNicholson.generator", false]], "generator (dirk43 attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.DIRK43.generator", false]], "generator (dirk43_2 attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.DIRK43_2.generator", false]], "generator (edirk4 attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.EDIRK4.generator", false]], "generator (esdirk43 attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.ESDIRK43.generator", false]], "generator (esdirk53 attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.ESDIRK53.generator", false]], "generator (explicitmidpointmethod attribute)": [[151, "implementations.sweeper_classes.Runge_Kutta.ExplicitMidpointMethod.generator", false]], "generator (forwardeuler attribute)": [[151, 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"implementations.convergence_controller_classes.adaptivity.AdaptivityPolynomialError.get_convergence", false]], "get_convergence_controllers_as_table() (controller method)": [[45, "core.controller.Controller.get_convergence_controllers_as_table", false]], "get_count() (ncclcomm static method)": [[55, "helpers.NCCL_communicator.NCCLComm.get_count", false]], "get_default_sweeper_class() (genericndimfindiff class method)": [[144, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.get_default_sweeper_class", false]], "get_default_sweeper_class() (problem class method)": [[50, "core.problem.Problem.get_default_sweeper_class", false]], "get_dtype() (ncclcomm static method)": [[55, "helpers.NCCL_communicator.NCCLComm.get_dtype", false]], "get_extrapolated_error() (estimateextrapolationerrornonmpi method)": [[77, "implementations.convergence_controller_classes.estimate_extrapolation_error.EstimateExtrapolationErrorNonMPI.get_extrapolated_error", false]], "get_extrapolated_solution() (estimateextrapolationerrornonmpi method)": [[77, "implementations.convergence_controller_classes.estimate_extrapolation_error.EstimateExtrapolationErrorNonMPI.get_extrapolated_solution", false]], "get_extrapolation_coefficients() (estimateextrapolationerrorbase method)": [[77, "implementations.convergence_controller_classes.estimate_extrapolation_error.EstimateExtrapolationErrorBase.get_extrapolation_coefficients", false]], "get_fig() (brusselator method)": [[105, "implementations.problem_classes.Brusselator.Brusselator.get_fig", false]], "get_fig() (problem method)": [[50, "core.problem.Problem.get_fig", false]], "get_finite_difference_matrix() (in module helpers.problem_helper)": [[57, "helpers.problem_helper.get_finite_difference_matrix", false]], "get_finite_difference_stencil() (in module helpers.problem_helper)": [[57, "helpers.problem_helper.get_finite_difference_stencil", false]], "get_full_f() (rungekutta method)": [[151, 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(adaptivityresidual method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityResidual.get_local_error_estimate", false]], "get_new_step_size() (adaptivity method)": [[70, "implementations.convergence_controller_classes.adaptivity.Adaptivity.get_new_step_size", false]], "get_new_step_size() (adaptivitybase method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityBase.get_new_step_size", false]], "get_new_step_size() (adaptivitycollocation method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityCollocation.get_new_step_size", false]], "get_new_step_size() (adaptivityextrapolationwithinq method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityExtrapolationWithinQ.get_new_step_size", false]], "get_new_step_size() (adaptivitypolynomialerror method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityPolynomialError.get_new_step_size", false]], "get_new_step_size() (adaptivityresidual method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityResidual.get_new_step_size", false]], "get_new_step_size() (adaptivityrk method)": [[70, "implementations.convergence_controller_classes.adaptivity.AdaptivityRK.get_new_step_size", false]], "get_new_step_size() (convergencecontroller method)": [[46, "core.convergence_controller.ConvergenceController.get_new_step_size", false]], "get_new_step_size() (stepsizelimiter method)": [[83, "implementations.convergence_controller_classes.step_size_limiter.StepSizeLimiter.get_new_step_size", false]], "get_new_step_size() (stepsizeslopelimiter method)": [[83, "implementations.convergence_controller_classes.step_size_limiter.StepSizeSlopeLimiter.get_new_step_size", false]], "get_non_linear_jacobian() (quench method)": [[128, "implementations.problem_classes.Quench.Quench.get_non_linear_Jacobian", false]], "get_op() (ncclcomm method)": [[55, "helpers.NCCL_communicator.NCCLComm.get_op", false]], "get_problem_dict() (battery_n_capacitors method)": [[103, "implementations.problem_classes.Battery.battery_n_capacitors.get_problem_dict", false]], "get_q_matrix() (rungekutta class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.RungeKutta.get_Q_matrix", false]], "get_qdelta_explicit() (sweeper method)": [[53, "core.sweeper.Sweeper.get_Qdelta_explicit", false]], "get_qdelta_implicit() (sweeper method)": [[53, "core.sweeper.Sweeper.get_Qdelta_implicit", false]], "get_scalar_problems_manysweep_mat() (imex_1st_order method)": [[157, "implementations.sweeper_classes.imex_1st_order.imex_1st_order.get_scalar_problems_manysweep_mat", false]], "get_scalar_problems_manysweep_mats() (boris_2nd_order method)": [[153, "implementations.sweeper_classes.boris_2nd_order.boris_2nd_order.get_scalar_problems_manysweep_mats", false]], "get_scalar_problems_picardsweep_mats() (boris_2nd_order method)": [[153, "implementations.sweeper_classes.boris_2nd_order.boris_2nd_order.get_scalar_problems_picardsweep_mats", false]], "get_scalar_problems_sweeper_mats() (boris_2nd_order method)": [[153, "implementations.sweeper_classes.boris_2nd_order.boris_2nd_order.get_scalar_problems_sweeper_mats", false]], "get_scalar_problems_sweeper_mats() (imex_1st_order method)": [[157, "implementations.sweeper_classes.imex_1st_order.imex_1st_order.get_scalar_problems_sweeper_mats", false]], "get_sorted() (in module helpers.stats_helper)": [[60, "helpers.stats_helper.get_sorted", false]], "get_step_from_which_to_spread() (spreadstepsizesblockwise method)": [[82, "implementations.convergence_controller_classes.spread_step_sizes.SpreadStepSizesBlockwise.get_step_from_which_to_spread", false]], "get_step_from_which_to_spread() (spreadstepsizesblockwisempi method)": [[82, "implementations.convergence_controller_classes.spread_step_sizes.SpreadStepSizesBlockwiseMPI.get_step_from_which_to_spread", false]], 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"implementations.problem_classes.GeneralizedFisher_1D_PETSc.petsc_fisher_multiimplicit.get_sys_mat", false]], "get_transfer_matrix_q() (basetransfer static method)": [[42, "core.base_transfer.BaseTransfer.get_transfer_matrix_Q", false]], "get_update_order() (ark54 class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.ARK54.get_update_order", false]], "get_update_order() (ark548l2sa class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.ARK548L2SA.get_update_order", false]], "get_update_order() (ark548l2saerk class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.ARK548L2SAERK.get_update_order", false]], "get_update_order() (ark548l2saesdirk2 class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.ARK548L2SAESDIRK2.get_update_order", false]], "get_update_order() (cash_karp class method)": [[151, "implementations.sweeper_classes.Runge_Kutta.Cash_Karp.get_update_order", false]], "get_update_order() (dirk43 class method)": [[151, 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"implementations.problem_classes.acoustic_helpers.buildFDMatrix.getBCLeft", false]], "getbcleft() (in module implementations.problem_classes.boussinesq_helpers.buildfdmatrix)": [[139, "implementations.problem_classes.boussinesq_helpers.buildFDMatrix.getBCLeft", false]], "getbcright() (in module implementations.problem_classes.acoustic_helpers.buildfdmatrix)": [[133, "implementations.problem_classes.acoustic_helpers.buildFDMatrix.getBCRight", false]], "getbcright() (in module implementations.problem_classes.boussinesq_helpers.buildfdmatrix)": [[139, "implementations.problem_classes.boussinesq_helpers.buildFDMatrix.getBCRight", false]], "getbcvertical() (in module implementations.problem_classes.boussinesq_helpers.build2dfdmatrix)": [[137, "implementations.problem_classes.boussinesq_helpers.build2DFDMatrix.getBCVertical", false]], "getboussinesq2dmatrix() (in module implementations.problem_classes.boussinesq_helpers.buildboussinesq2dmatrix)": [[138, "implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix.getBoussinesq2DMatrix", false]], "getboussinesq2dupwindmatrix() (in module implementations.problem_classes.boussinesq_helpers.buildboussinesq2dmatrix)": [[138, "implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix.getBoussinesq2DUpwindMatrix", false]], "getboussinesqbchorizontal() (in module implementations.problem_classes.boussinesq_helpers.buildboussinesq2dmatrix)": [[138, "implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix.getBoussinesqBCHorizontal", false]], "getboussinesqbcvertical() (in module implementations.problem_classes.boussinesq_helpers.buildboussinesq2dmatrix)": [[138, "implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix.getBoussinesqBCVertical", false]], "getcounter() (callback method)": [[140, "implementations.problem_classes.boussinesq_helpers.helper_classes.Callback.getcounter", false]], "gethorizontaldx() (in module 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"implementations.problem_classes.acoustic_helpers.buildWave1DMatrix.getWave1DAdvectionMatrix", false]], "getwave1dmatrix() (in module implementations.problem_classes.acoustic_helpers.buildwave1dmatrix)": [[134, "implementations.problem_classes.acoustic_helpers.buildWave1DMatrix.getWave1DMatrix", false]], "getwavebcleft() (in module implementations.problem_classes.acoustic_helpers.buildwave1dmatrix)": [[134, "implementations.problem_classes.acoustic_helpers.buildWave1DMatrix.getWaveBCLeft", false]], "getwavebcright() (in module implementations.problem_classes.acoustic_helpers.buildwave1dmatrix)": [[134, "implementations.problem_classes.acoustic_helpers.buildWave1DMatrix.getWaveBCRight", false]], "gmres_logger (boussinesq_2d_imex attribute)": [[104, "implementations.problem_classes.Boussinesq_2D_FD_imex.boussinesq_2d_imex.gmres_logger", false]], "grayscott_imex_diffusion (class in implementations.problem_classes.grayscott_mpifft)": [[115, "implementations.problem_classes.GrayScott_MPIFFT.grayscott_imex_diffusion", false]], "grayscott_imex_linear (class in implementations.problem_classes.grayscott_mpifft)": [[115, "implementations.problem_classes.GrayScott_MPIFFT.grayscott_imex_linear", false]], "grayscott_mi_diffusion (class in implementations.problem_classes.grayscott_mpifft)": [[115, "implementations.problem_classes.GrayScott_MPIFFT.grayscott_mi_diffusion", false]], "grayscott_mi_linear (class in implementations.problem_classes.grayscott_mpifft)": [[115, "implementations.problem_classes.GrayScott_MPIFFT.grayscott_mi_linear", false]], "grids (genericndimfindiff property)": [[144, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.grids", false]], "gs_full (class in implementations.problem_classes.grayscott_2d_petsc_periodic)": [[114, "implementations.problem_classes.GrayScott_2D_PETSc_periodic.GS_full", false]], "gs_reaction (class in implementations.problem_classes.grayscott_2d_petsc_periodic)": [[114, "implementations.problem_classes.GrayScott_2D_PETSc_periodic.GS_reaction", false]], "h (boussinesq_2d_imex attribute)": [[104, "implementations.problem_classes.Boussinesq_2D_FD_imex.boussinesq_2d_imex.h", false]], "harmonic_oscillator (class in implementations.problem_classes.harmonicoscillator)": [[116, "implementations.problem_classes.HarmonicOscillator.harmonic_oscillator", false]], "heat2d_petsc_forced (class in implementations.problem_classes.heatequation_2d_petsc_forced)": [[118, "implementations.problem_classes.HeatEquation_2D_PETSc_forced.heat2d_petsc_forced", false]], "heatnd_forced (class in implementations.problem_classes.heatequation_nd_fd)": [[119, "implementations.problem_classes.HeatEquation_ND_FD.heatNd_forced", false]], "heatnd_forced (class in implementations.problem_classes.heatequation_nd_fd_cupy)": [[120, "implementations.problem_classes.HeatEquation_ND_FD_CuPy.heatNd_forced", false]], "heatnd_unforced (class in implementations.problem_classes.heatequation_nd_fd)": [[119, "implementations.problem_classes.HeatEquation_ND_FD.heatNd_unforced", false]], "heatnd_unforced (class in implementations.problem_classes.heatequation_nd_fd_cupy)": [[120, "implementations.problem_classes.HeatEquation_ND_FD_CuPy.heatNd_unforced", false]], "helpers": [[54, "module-helpers", false]], "helpers.nccl_communicator": [[55, "module-helpers.NCCL_communicator", false]], "helpers.plot_helper": [[56, "module-helpers.plot_helper", false]], "helpers.problem_helper": [[57, "module-helpers.problem_helper", false]], "helpers.pysdc_helper": [[58, "module-helpers.pysdc_helper", false]], "helpers.setup_helper": [[59, "module-helpers.setup_helper", false]], "helpers.stats_helper": [[60, "module-helpers.stats_helper", false]], "helpers.testing": [[61, "module-helpers.testing", false]], "helpers.transfer_helper": [[62, "module-helpers.transfer_helper", false]], "helpers.visualization_tools": [[63, "module-helpers.visualization_tools", false]], "henon_heiles (class in implementations.problem_classes.henonheiles)": [[121, "implementations.problem_classes.HenonHeiles.henon_heiles", false]], "heun_euler (class in implementations.sweeper_classes.runge_kutta)": [[151, "implementations.sweeper_classes.Runge_Kutta.Heun_Euler", false]], "hooks (class in core.hooks)": [[48, "core.hooks.Hooks", false]], "hooks (controller property)": [[45, "core.controller.Controller.hooks", false]], "hotrod (class in implementations.convergence_controller_classes.hotrod)": [[79, "implementations.convergence_controller_classes.hotrod.HotRod", false]], "id (acoustic_1d_imex attribute)": [[92, "implementations.problem_classes.AcousticAdvection_1D_FD_imex.acoustic_1d_imex.Id", false]], "id (advectionnd attribute)": [[94, "implementations.problem_classes.AdvectionEquation_ND_FD.advectionNd.Id", false]], "id (boussinesq_2d_imex attribute)": [[104, "implementations.problem_classes.Boussinesq_2D_FD_imex.boussinesq_2d_imex.Id", false]], "id (genericndimfindiff attribute)": [[144, "implementations.problem_classes.generic_ND_FD.GenericNDimFinDiff.Id", false]], "id (heat2d_petsc_forced attribute)": [[118, "implementations.problem_classes.HeatEquation_2D_PETSc_forced.heat2d_petsc_forced.Id", false]], "id (heatnd_forced attribute)": [[120, "implementations.problem_classes.HeatEquation_ND_FD_CuPy.heatNd_forced.Id", false]], "id (heatnd_unforced attribute)": [[119, "implementations.problem_classes.HeatEquation_ND_FD.heatNd_unforced.Id", false]], "id (petsc_grayscott_multiimplicit attribute)": [[114, "implementations.problem_classes.GrayScott_2D_PETSc_periodic.petsc_grayscott_multiimplicit.Id", false]], "id (quench attribute)": [[128, "implementations.problem_classes.Quench.Quench.Id", false]], "imex_1st_order (class in implementations.sweeper_classes.imex_1st_order)": [[157, "implementations.sweeper_classes.imex_1st_order.imex_1st_order", false]], "imex_1st_order_mass (class in implementations.sweeper_classes.imex_1st_order_mass)": [[159, "implementations.sweeper_classes.imex_1st_order_mass.imex_1st_order_mass", false]], "imex_1st_order_mpi (class in implementations.sweeper_classes.imex_1st_order_mpi)": [[158, "implementations.sweeper_classes.imex_1st_order_MPI.imex_1st_order_MPI", false]], "imex_cupy_mesh (class in implementations.datatype_classes.cupy_mesh)": [[86, "implementations.datatype_classes.cupy_mesh.imex_cupy_mesh", false]], "imex_laplacian_mpifft (class in implementations.problem_classes.generic_mpifft_laplacian)": [[143, "implementations.problem_classes.generic_MPIFFT_Laplacian.IMEX_Laplacian_MPIFFT", false]], "imex_mesh (class in implementations.datatype_classes.mesh)": [[88, "implementations.datatype_classes.mesh.imex_mesh", false]], "impl (petsc_vec_comp2 attribute)": [[90, "implementations.datatype_classes.petsc_vec.petsc_vec_comp2.impl", false]], "impl (petsc_vec_imex attribute)": [[90, "implementations.datatype_classes.petsc_vec.petsc_vec_imex.impl", false]], "impl (rhs_fenics_mesh attribute)": [[87, "implementations.datatype_classes.fenics_mesh.rhs_fenics_mesh.impl", false]], "implementations": [[64, "module-implementations", false]], "implementations.controller_classes": [[65, "module-implementations.controller_classes", false]], "implementations.controller_classes.controller_mpi": [[66, "module-implementations.controller_classes.controller_MPI", false]], "implementations.controller_classes.controller_nonmpi": [[67, "module-implementations.controller_classes.controller_nonMPI", false]], "implementations.convergence_controller_classes": [[68, "module-implementations.convergence_controller_classes", false]], "implementations.convergence_controller_classes.adaptive_collocation": [[69, "module-implementations.convergence_controller_classes.adaptive_collocation", false]], "implementations.convergence_controller_classes.adaptivity": [[70, "module-implementations.convergence_controller_classes.adaptivity", false]], "implementations.convergence_controller_classes.basic_restarting": [[71, "module-implementations.convergence_controller_classes.basic_restarting", false]], "implementations.convergence_controller_classes.check_convergence": [[72, "module-implementations.convergence_controller_classes.check_convergence", false]], "implementations.convergence_controller_classes.check_iteration_estimator": [[73, "module-implementations.convergence_controller_classes.check_iteration_estimator", false]], "implementations.convergence_controller_classes.crash": [[74, "module-implementations.convergence_controller_classes.crash", false]], "implementations.convergence_controller_classes.estimate_contraction_factor": [[75, "module-implementations.convergence_controller_classes.estimate_contraction_factor", false]], "implementations.convergence_controller_classes.estimate_embedded_error": [[76, "module-implementations.convergence_controller_classes.estimate_embedded_error", false]], "implementations.convergence_controller_classes.estimate_extrapolation_error": [[77, "module-implementations.convergence_controller_classes.estimate_extrapolation_error", false]], "implementations.convergence_controller_classes.estimate_polynomial_error": [[78, "module-implementations.convergence_controller_classes.estimate_polynomial_error", false]], "implementations.convergence_controller_classes.hotrod": [[79, "module-implementations.convergence_controller_classes.hotrod", false]], "implementations.convergence_controller_classes.inexactness": [[80, "module-implementations.convergence_controller_classes.inexactness", false]], "implementations.convergence_controller_classes.interpolate_between_restarts": [[81, "module-implementations.convergence_controller_classes.interpolate_between_restarts", false]], "implementations.convergence_controller_classes.spread_step_sizes": [[82, "module-implementations.convergence_controller_classes.spread_step_sizes", false]], "implementations.convergence_controller_classes.step_size_limiter": [[83, "module-implementations.convergence_controller_classes.step_size_limiter", false]], "implementations.convergence_controller_classes.store_uold": [[84, "module-implementations.convergence_controller_classes.store_uold", false]], "implementations.datatype_classes": [[85, "module-implementations.datatype_classes", false]], "implementations.datatype_classes.cupy_mesh": [[86, "module-implementations.datatype_classes.cupy_mesh", false]], "implementations.datatype_classes.fenics_mesh": [[87, "module-implementations.datatype_classes.fenics_mesh", false]], "implementations.datatype_classes.mesh": [[88, "module-implementations.datatype_classes.mesh", false]], "implementations.datatype_classes.particles": [[89, "module-implementations.datatype_classes.particles", false]], "implementations.datatype_classes.petsc_vec": [[90, "module-implementations.datatype_classes.petsc_vec", false]], "implementations.problem_classes": [[91, "module-implementations.problem_classes", false]], "implementations.problem_classes.acoustic_helpers": [[132, "module-implementations.problem_classes.acoustic_helpers", false]], "implementations.problem_classes.acoustic_helpers.buildfdmatrix": [[133, "module-implementations.problem_classes.acoustic_helpers.buildFDMatrix", false]], "implementations.problem_classes.acoustic_helpers.buildwave1dmatrix": [[134, "module-implementations.problem_classes.acoustic_helpers.buildWave1DMatrix", false]], "implementations.problem_classes.acoustic_helpers.standard_integrators": [[135, "module-implementations.problem_classes.acoustic_helpers.standard_integrators", false]], "implementations.problem_classes.acousticadvection_1d_fd_imex": [[92, "module-implementations.problem_classes.AcousticAdvection_1D_FD_imex", false]], "implementations.problem_classes.advectiondiffusionequation_1d_fft": [[93, "module-implementations.problem_classes.AdvectionDiffusionEquation_1D_FFT", false]], "implementations.problem_classes.advectionequation_nd_fd": [[94, "module-implementations.problem_classes.AdvectionEquation_ND_FD", false]], "implementations.problem_classes.allencahn_1d_fd": [[95, "module-implementations.problem_classes.AllenCahn_1D_FD", false]], "implementations.problem_classes.allencahn_2d_fd": [[96, "module-implementations.problem_classes.AllenCahn_2D_FD", false]], "implementations.problem_classes.allencahn_2d_fd_gpu": [[97, "module-implementations.problem_classes.AllenCahn_2D_FD_gpu", false]], "implementations.problem_classes.allencahn_2d_fft": [[98, "module-implementations.problem_classes.AllenCahn_2D_FFT", false]], "implementations.problem_classes.allencahn_2d_fft_gpu": [[99, "module-implementations.problem_classes.AllenCahn_2D_FFT_gpu", false]], "implementations.problem_classes.allencahn_mpifft": [[100, "module-implementations.problem_classes.AllenCahn_MPIFFT", false]], "implementations.problem_classes.allencahn_temp_mpifft": [[101, "module-implementations.problem_classes.AllenCahn_Temp_MPIFFT", false]], "implementations.problem_classes.auzinger_implicit": [[102, "module-implementations.problem_classes.Auzinger_implicit", false]], "implementations.problem_classes.battery": [[103, "module-implementations.problem_classes.Battery", false]], "implementations.problem_classes.boussinesq_2d_fd_imex": [[104, "module-implementations.problem_classes.Boussinesq_2D_FD_imex", false]], "implementations.problem_classes.boussinesq_helpers": [[136, "module-implementations.problem_classes.boussinesq_helpers", false]], "implementations.problem_classes.boussinesq_helpers.build2dfdmatrix": [[137, "module-implementations.problem_classes.boussinesq_helpers.build2DFDMatrix", false]], "implementations.problem_classes.boussinesq_helpers.buildboussinesq2dmatrix": [[138, "module-implementations.problem_classes.boussinesq_helpers.buildBoussinesq2DMatrix", false]], "implementations.problem_classes.boussinesq_helpers.buildfdmatrix": [[139, "module-implementations.problem_classes.boussinesq_helpers.buildFDMatrix", false]], "implementations.problem_classes.boussinesq_helpers.helper_classes": [[140, "module-implementations.problem_classes.boussinesq_helpers.helper_classes", false]], "implementations.problem_classes.boussinesq_helpers.standard_integrators": [[141, "module-implementations.problem_classes.boussinesq_helpers.standard_integrators", false]], "implementations.problem_classes.boussinesq_helpers.unflatten": [[142, "module-implementations.problem_classes.boussinesq_helpers.unflatten", false]], "implementations.problem_classes.brusselator": [[105, "module-implementations.problem_classes.Brusselator", false]], "implementations.problem_classes.buckconverter": [[106, "module-implementations.problem_classes.BuckConverter", false]], "implementations.problem_classes.discontinuoustestode": [[107, "module-implementations.problem_classes.DiscontinuousTestODE", false]], "implementations.problem_classes.fastwaveslowwave_0d": [[108, "module-implementations.problem_classes.FastWaveSlowWave_0D", false]], "implementations.problem_classes.fermipastaulamtsingou": [[109, "module-implementations.problem_classes.FermiPastaUlamTsingou", false]], "implementations.problem_classes.fullsolarsystem": [[110, "module-implementations.problem_classes.FullSolarSystem", false]], "implementations.problem_classes.generalizedfisher_1d_fd_implicit": [[111, "module-implementations.problem_classes.GeneralizedFisher_1D_FD_implicit", false]], "implementations.problem_classes.generalizedfisher_1d_petsc": [[112, "module-implementations.problem_classes.GeneralizedFisher_1D_PETSc", false]], "implementations.problem_classes.generic_mpifft_laplacian": [[143, "module-implementations.problem_classes.generic_MPIFFT_Laplacian", false]], "implementations.problem_classes.generic_nd_fd": [[144, "module-implementations.problem_classes.generic_ND_FD", false]], "implementations.problem_classes.grayscott_1d_fenics_implicit": [[113, "module-implementations.problem_classes.GrayScott_1D_FEniCS_implicit", false]], "implementations.problem_classes.grayscott_2d_petsc_periodic": [[114, "module-implementations.problem_classes.GrayScott_2D_PETSc_periodic", false]], "implementations.problem_classes.grayscott_mpifft": [[115, "module-implementations.problem_classes.GrayScott_MPIFFT", false]], "implementations.problem_classes.harmonicoscillator": [[116, "module-implementations.problem_classes.HarmonicOscillator", false]], "implementations.problem_classes.heatequation_1d_fenics_matrix_forced": [[117, "module-implementations.problem_classes.HeatEquation_1D_FEniCS_matrix_forced", false]], "implementations.problem_classes.heatequation_2d_petsc_forced": [[118, "module-implementations.problem_classes.HeatEquation_2D_PETSc_forced", false]], "implementations.problem_classes.heatequation_nd_fd": [[119, "module-implementations.problem_classes.HeatEquation_ND_FD", false]], "implementations.problem_classes.heatequation_nd_fd_cupy": [[120, "module-implementations.problem_classes.HeatEquation_ND_FD_CuPy", false]], "implementations.problem_classes.henonheiles": [[121, "module-implementations.problem_classes.HenonHeiles", false]], "implementations.problem_classes.logisticequation": [[122, "module-implementations.problem_classes.LogisticEquation", false]], "implementations.problem_classes.lorenz": [[123, "module-implementations.problem_classes.Lorenz", false]], "implementations.problem_classes.nonlinear_ode_1": [[145, "module-implementations.problem_classes.nonlinear_ODE_1", false]], "implementations.problem_classes.nonlinearschroedinger_mpifft": [[124, "module-implementations.problem_classes.NonlinearSchroedinger_MPIFFT", false]], "implementations.problem_classes.odescalar": [[146, "module-implementations.problem_classes.odeScalar", false]], "implementations.problem_classes.odesystem": [[147, "module-implementations.problem_classes.odeSystem", false]], "implementations.problem_classes.outersolarsystem": [[125, "module-implementations.problem_classes.OuterSolarSystem", false]], 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35, 37, 64, 179, 180, 181, 182, 185, 186, 187, 188, 189, 190, 192, 193, 194, 195, 197, 198, 199, 201, 202, 203, 204, 205, 206, 207], "controller_mat": [27, 35], "controller_matrix_nonmpi": [27, 28, 35], "controller_mlsdc": [185, 203], "controller_mpi": [0, 65, 192, 195, 205, 206, 207], "controller_mssdc_g": [198, 207], "controller_mssdc_jac": [198, 207], "controller_nomat": [27, 35], "controller_nonmpi": [0, 13, 17, 20, 22, 26, 27, 29, 30, 31, 33, 35, 37, 65, 179, 180, 181, 182, 185, 186, 187, 188, 189, 190, 193, 194, 197, 198, 199, 201, 202, 203, 204, 205, 206, 207], "controller_param": [13, 17, 20, 22, 26, 27, 28, 29, 30, 31, 33, 35, 37, 45, 66, 67, 179, 180, 181, 182, 185, 186, 187, 188, 189, 190, 192, 193, 194, 195, 197, 198, 199, 201, 202, 203, 204, 205, 206, 207], "controller_paramet": 201, "controller_params_g": [198, 207], "controller_params_jac": [198, 207], "controller_pfasst": [198, 207], "controller_sdc": [185, 203], "controllererror": [41, 47], "contruct": 62, "conv": 40, 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5, 10, 12, 13, 19, 26, 27, 28, 34, 35, 46, 52, 60, 69, 153, 154, 155, 156, 157, 158, 159, 160, 161, 203, 205, 207], "corrupt": 79, "cosimo": [112, 114, 118], "cost": 38, "costli": [19, 203], "could": [0, 1, 4, 12, 19, 69, 70, 78, 151, 152], "coulomb": 126, "count": [17, 18, 20, 27, 28, 30, 31, 35, 37, 45, 46, 50, 95, 103, 107, 123, 126, 130, 145, 180, 189, 190, 192, 198, 201, 202, 203, 204, 205, 207], "count_switch": [103, 107], "counter": [95, 178, 201], "counterpart": [36, 205], "coupl": [36, 52, 86, 88, 200, 206], "cours": [6, 46, 203], "cover": [5, 9, 31, 37], "coverag": 10, "coverage_process_start": [192, 205], "cp": 99, "cpp": 36, "cpu": 206, "cr": 103, "cranknicholson": [149, 151], "crash": [40, 68], "crash_at_maxit": 130, "crashbas": [68, 74], "creat": [3, 5, 9, 10, 11, 13, 16, 17, 20, 22, 26, 29, 30, 31, 33, 37, 40, 48, 61, 103, 113, 117, 131, 144, 173, 174, 175, 176, 177, 184, 195, 197, 200, 201, 202, 203, 204, 206, 207], "createbinari": [17, 20], "creation": [0, 13, 22, 26, 29, 33, 37, 178, 179, 180, 181, 182, 186, 193, 201, 202, 203, 206], "criteria": [46, 72], "criterion": [45, 70, 196, 206], "crop": 38, "crucial": [79, 203], "csc": [94, 111, 119, 120, 128, 144], "csc_matrix": [62, 92, 104, 129], "csv": 40, "ct": 7, "cube": 39, "cube_1d": 36, "cubic": 109, "cupi": [0, 5, 57, 86, 97, 99, 120], "cupy_mesh": [85, 97, 99, 120], "cupymulticomponentmesh": [85, 86], "current": [3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 17, 19, 20, 22, 26, 29, 33, 37, 43, 46, 48, 49, 50, 52, 53, 62, 66, 67, 69, 70, 71, 72, 73, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 92, 93, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 126, 127, 128, 129, 130, 131, 143, 144, 145, 146, 147, 148, 150, 151, 156, 159, 192, 196, 201, 205, 206, 207], "curv": 10, "custom": [2, 6, 8, 15, 42, 48, 49, 50, 51, 52, 53, 153, 154, 157, 159, 160, 161, 163, 164, 166, 167, 169, 202], "custon": [168, 170, 172], "cute": 9, 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204, 205, 206, 207], "datacheck": [54, 61], "dataerror": [41, 47], "datatyp": [7, 11, 12, 46, 86, 88, 169, 206], "datatype_class": [7, 11, 12, 64, 174, 179, 181, 200, 201, 202, 206], "date": 5, "david": [115, 124, 143], "dc": 14, "ddx": 93, "de": [116, 152], "dead": 207, "deal": [14, 175, 176, 192, 200, 201, 202, 203, 205], "dearli": [3, 10], "debug": [45, 46, 205], "decai": [113, 114, 115], "decemb": 0, "decent": [3, 10], "decid": [30, 31, 37, 77, 81, 103, 206], "decis": [0, 1], "declar": 0, "decomposit": [19, 37], "decompress": 19, "decoupl": [37, 200], "decrement": 50, "dedic": [4, 9, 106], "deem": 1, "deeper": 201, "deepli": 201, "def": [5, 6, 7, 8, 12, 13, 17, 20, 22, 26, 27, 28, 29, 30, 31, 33, 35, 37, 146, 147, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207], "default": [4, 5, 9, 12, 17, 20, 31, 37, 46, 48, 50, 53, 58, 59, 66, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 84, 113, 117, 123, 128, 131, 144, 146, 147, 150, 156, 201, 203], "default_hook": [179, 181, 201, 202], "defaultdict": [13, 22, 26, 33], "defaulthook": [179, 201], "defer": [0, 3, 10, 12, 34, 36, 38, 92, 108, 157], "defin": [0, 2, 3, 6, 7, 10, 12, 35, 39, 42, 43, 50, 52, 70, 71, 72, 74, 80, 82, 83, 84, 106, 107, 108, 111, 112, 113, 116, 117, 118, 131, 144, 146, 147, 153, 157, 179, 181, 189, 201, 202, 203, 204, 206], "definit": [0, 7, 156, 202], "degre": [27, 28, 30, 31, 35, 37, 57, 92, 111, 113, 114, 115, 117, 131, 144, 148, 173, 175, 177, 178, 179, 180, 183, 184, 185, 187, 188, 189, 190, 195, 200, 201, 202, 203, 204, 205, 206], "del": [31, 37, 192, 205], "delet": [5, 77], "delta": [2, 12, 30, 31, 37, 95, 96, 97, 98, 99, 100, 101, 105, 108, 111, 112, 113, 114, 115, 124, 131], "delta_m": 43, "demonstr": [1, 10, 11, 19, 195, 196, 197, 201, 202, 203, 204, 205, 206, 207], "denot": [12, 36, 76, 93, 95, 98, 99, 100, 101, 103, 108, 115, 116, 117, 119, 120, 124, 131, 143], "dens": 77, "densiti": 128, "depend": [0, 3, 9, 10, 11, 14, 36, 46, 58, 70, 71, 72, 73, 75, 76, 79, 80, 83, 92, 93, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 112, 114, 115, 117, 118, 120, 122, 123, 124, 127, 128, 129, 130, 143, 144, 145, 146, 147, 148, 174, 176, 178, 179, 181, 195, 200, 201, 202, 203, 204, 206], "deprec": [0, 10], "der": [15, 16, 130, 146, 147], "deriv": [12, 15, 35, 45, 48, 57, 77, 86, 88, 92, 95, 104, 107, 116, 128, 131, 144, 145, 146, 147, 148, 157], "derogatori": 1, "describ": [8, 9, 10, 12, 17, 18, 20, 39, 103, 110, 113, 114, 115, 125, 180, 202], "descript": [0, 5, 10, 12, 13, 16, 17, 20, 22, 26, 27, 28, 29, 30, 31, 33, 35, 37, 41, 45, 46, 52, 59, 66, 67, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 177, 178, 179, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 192, 193, 194, 195, 197, 198, 199, 201, 202, 203, 204, 205, 206, 207], "description_mlsdc": [185, 203], "description_mssdc": [198, 207], "description_pfasst": 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"transfermesh_nocoars": 170, "transferparticles_nocoars": 172, "transferpetscdmda": 171, "transform": 206, "tsingou": 13, "tutori": 10, "type": 202, "ulam": 13, "unflatten": 142, "us": 201, "user": 10, "v": 203, "van_der_pol_implicit": 130, "variabl": 6, "variant": 17, "verif": 11, "verlet": 161, "version": 35, "visual": 207, "visualization_tool": 63, "vorticityvelocity_2d_fenics_period": 131, "warn": 1, "wave": 34, "welcom": [3, 10], "what": [14, 17], "x": 207}})
\ No newline at end of file
diff --git a/tutorial/doc_step_2_C.html b/tutorial/doc_step_2_C.html
index 888061640d..a4c77f1fe2 100644
--- a/tutorial/doc_step_2_C.html
+++ b/tutorial/doc_step_2_C.html
@@ -118,7 +118,7 @@ <h3>Navigation</h3>
 </pre></div>
 </div>
 <p>Results:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>2024-07-25 12:19:53,710 - controller - controller - welcome_message - 146 - INFO: Welcome to the one and only, really very astonishing and 87.3% bug free
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>2024-07-27 09:10:56,633 - controller - controller - welcome_message - 146 - INFO: Welcome to the one and only, really very astonishing and 87.3% bug free
                                  _____ _____   _____ 
                                 / ____|  __ \ / ____|
                     _ __  _   _| (___ | |  | | |     
@@ -128,8 +128,8 @@ <h3>Navigation</h3>
                    | |     __/ |                     
                    |_|    |___/                      
                                                      
-2024-07-25 12:19:53,710 - controller - controller - dump_setup - 160 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- BEGIN
-2024-07-25 12:19:53,710 - controller - controller - dump_setup - 227 - INFO: ----------------------------------------------------------------------------------------------------
+2024-07-27 09:10:56,633 - controller - controller - dump_setup - 160 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- BEGIN
+2024-07-27 09:10:56,633 - controller - controller - dump_setup - 227 - INFO: ----------------------------------------------------------------------------------------------------
 
 Controller: &lt;class &#39;pySDC.implementations.controller_classes.controller_nonMPI.controller_nonMPI&#39;&gt;
     all_to_done = False
@@ -182,34 +182,34 @@ <h3>Navigation</h3>
  -&gt; |  1 |   100 | SpreadStepSizesBlockwiseNonMPI
     |  2 |   200 | CheckConvergence
 
-2024-07-25 12:19:53,710 - controller - controller - dump_setup - 230 - INFO: ----------------------------------------------------------------------------------------------------
-2024-07-25 12:19:53,710 - controller - controller - dump_setup - 232 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- END
+2024-07-27 09:10:56,633 - controller - controller - dump_setup - 230 - INFO: ----------------------------------------------------------------------------------------------------
+2024-07-27 09:10:56,633 - controller - controller - dump_setup - 232 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- END
 
-2024-07-25 12:19:53,715 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 4.11190756e-03
-2024-07-25 12:19:53,718 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 6.68442667e-04
-2024-07-25 12:19:53,722 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 8.80377591e-05
-2024-07-25 12:19:53,725 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 1.21707909e-05
-2024-07-25 12:19:53,729 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 1.38272147e-06
-2024-07-25 12:19:53,732 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 6.36445413e-07
-2024-07-25 12:19:53,736 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 1.68953216e-07
-2024-07-25 12:19:53,739 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 3.52601840e-08
-2024-07-25 12:19:53,743 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 6.07249025e-09
-2024-07-25 12:19:53,746 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 8.27343378e-10
-2024-07-25 12:19:53,750 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 1.18931339e-10
-2024-07-25 12:19:53,753 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 12 -- Sweep:  1 -- residual: 1.48499772e-11
-2024-07-25 12:19:53,758 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 6.69984764e-03
-2024-07-25 12:19:53,761 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 1.05518433e-03
-2024-07-25 12:19:53,765 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 1.40642621e-04
-2024-07-25 12:19:53,768 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 1.85982063e-05
-2024-07-25 12:19:53,772 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 2.79216702e-06
-2024-07-25 12:19:53,775 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 1.12278839e-06
-2024-07-25 12:19:53,779 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 2.85495353e-07
-2024-07-25 12:19:53,782 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 5.78947003e-08
-2024-07-25 12:19:53,786 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 9.68230621e-09
-2024-07-25 12:19:53,789 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 1.26313315e-09
-2024-07-25 12:19:53,792 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 1.82951499e-10
-2024-07-25 12:19:53,796 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 12 -- Sweep:  1 -- residual: 1.99691114e-11
-2024-07-25 12:19:53,797 - hooks - default_hook - post_run - 340 - INFO: Finished run after 0.09s
+2024-07-27 09:10:56,638 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 4.11190756e-03
+2024-07-27 09:10:56,641 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 6.68442667e-04
+2024-07-27 09:10:56,645 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 8.80377591e-05
+2024-07-27 09:10:56,648 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 1.21707909e-05
+2024-07-27 09:10:56,652 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 1.38272147e-06
+2024-07-27 09:10:56,655 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 6.36445413e-07
+2024-07-27 09:10:56,658 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 1.68953216e-07
+2024-07-27 09:10:56,662 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 3.52601840e-08
+2024-07-27 09:10:56,665 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 6.07249025e-09
+2024-07-27 09:10:56,669 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 8.27343378e-10
+2024-07-27 09:10:56,672 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 1.18931339e-10
+2024-07-27 09:10:56,676 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 12 -- Sweep:  1 -- residual: 1.48499772e-11
+2024-07-27 09:10:56,681 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 6.69984764e-03
+2024-07-27 09:10:56,684 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 1.05518433e-03
+2024-07-27 09:10:56,687 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 1.40642621e-04
+2024-07-27 09:10:56,691 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 1.85982063e-05
+2024-07-27 09:10:56,694 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 2.79216702e-06
+2024-07-27 09:10:56,698 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 1.12278839e-06
+2024-07-27 09:10:56,701 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 2.85495353e-07
+2024-07-27 09:10:56,705 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 5.78947003e-08
+2024-07-27 09:10:56,708 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 9.68230621e-09
+2024-07-27 09:10:56,711 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 1.26313315e-09
+2024-07-27 09:10:56,715 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 1.82951499e-10
+2024-07-27 09:10:56,718 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 12 -- Sweep:  1 -- residual: 1.99691114e-11
+2024-07-27 09:10:56,719 - hooks - default_hook - post_run - 340 - INFO: Finished run after 0.09s
 Error after SDC iterations: 1.166689e-05
 </pre></div>
 </div>
diff --git a/tutorial/doc_step_3_B.html b/tutorial/doc_step_3_B.html
index 614a1794cb..4166543bfc 100644
--- a/tutorial/doc_step_3_B.html
+++ b/tutorial/doc_step_3_B.html
@@ -145,7 +145,7 @@ <h3>Navigation</h3>
 </pre></div>
 </div>
 <p>Results:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>2024-07-25 12:19:54,290 - controller - controller - welcome_message - 146 - INFO: Welcome to the one and only, really very astonishing and 87.3% bug free
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>2024-07-27 09:10:57,218 - controller - controller - welcome_message - 146 - INFO: Welcome to the one and only, really very astonishing and 87.3% bug free
                                  _____ _____   _____ 
                                 / ____|  __ \ / ____|
                     _ __  _   _| (___ | |  | | |     
@@ -155,8 +155,8 @@ <h3>Navigation</h3>
                    | |     __/ |                     
                    |_|    |___/                      
                                                      
-2024-07-25 12:19:54,291 - controller - controller - dump_setup - 160 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- BEGIN
-2024-07-25 12:19:54,291 - controller - controller - dump_setup - 227 - INFO: ----------------------------------------------------------------------------------------------------
+2024-07-27 09:10:57,218 - controller - controller - dump_setup - 160 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- BEGIN
+2024-07-27 09:10:57,218 - controller - controller - dump_setup - 227 - INFO: ----------------------------------------------------------------------------------------------------
 
 Controller: &lt;class &#39;pySDC.implementations.controller_classes.controller_nonMPI.controller_nonMPI&#39;&gt;
     all_to_done = False
@@ -204,21 +204,21 @@ <h3>Navigation</h3>
  -&gt; |  1 |   100 | SpreadStepSizesBlockwiseNonMPI
     |  2 |   200 | CheckConvergence
 
-2024-07-25 12:19:54,291 - controller - controller - dump_setup - 230 - INFO: ----------------------------------------------------------------------------------------------------
-2024-07-25 12:19:54,291 - controller - controller - dump_setup - 232 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- END
-
-2024-07-25 12:19:55,462 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 3.53203678e+00
-2024-07-25 12:19:55,467 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 2.09852117e-01
-2024-07-25 12:19:55,474 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 3.50301513e-02
-2024-07-25 12:19:55,481 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 4.67724741e-03
-2024-07-25 12:19:55,487 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 7.95583202e-04
-2024-07-25 12:19:55,492 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 1.11405073e-04
-2024-07-25 12:19:55,497 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 1.26902403e-05
-2024-07-25 12:19:55,502 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 1.16534547e-06
-2024-07-25 12:19:55,508 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 1.66968022e-07
-2024-07-25 12:19:55,513 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 2.09408171e-08
-2024-07-25 12:19:55,518 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 2.17123386e-09
-2024-07-25 12:19:55,520 - hooks - default_hook - post_run - 340 - INFO: Finished run after 1.23s
+2024-07-27 09:10:57,218 - controller - controller - dump_setup - 230 - INFO: ----------------------------------------------------------------------------------------------------
+2024-07-27 09:10:57,218 - controller - controller - dump_setup - 232 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- END
+
+2024-07-27 09:10:58,371 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 3.53203678e+00
+2024-07-27 09:10:58,376 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 2.09852117e-01
+2024-07-27 09:10:58,381 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 3.50301513e-02
+2024-07-27 09:10:58,387 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 4.67724741e-03
+2024-07-27 09:10:58,392 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 7.95583202e-04
+2024-07-27 09:10:58,397 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 1.11405073e-04
+2024-07-27 09:10:58,402 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 1.26902403e-05
+2024-07-27 09:10:58,408 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 1.16534547e-06
+2024-07-27 09:10:58,413 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 1.66968022e-07
+2024-07-27 09:10:58,418 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 2.09408171e-08
+2024-07-27 09:10:58,423 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 2.17123386e-09
+2024-07-27 09:10:58,425 - hooks - default_hook - post_run - 340 - INFO: Finished run after 1.21s
 Total energy and deviation in iteration  0: 8799.5000000000 -- 0.00000000e+00
 Total energy and deviation in iteration 11: 8785.0038936088 -- 1.44961064e+01
 </pre></div>
diff --git a/tutorial/doc_step_4_D.html b/tutorial/doc_step_4_D.html
index 17dba009df..a1b8f416ea 100644
--- a/tutorial/doc_step_4_D.html
+++ b/tutorial/doc_step_4_D.html
@@ -191,7 +191,7 @@ <h3>Navigation</h3>
 </pre></div>
 </div>
 <p>Results:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Timings</span> <span class="k">for</span> <span class="n">SDC</span><span class="p">,</span> <span class="n">MLSDC</span> <span class="ow">and</span> <span class="n">MLSDC</span><span class="o">+</span><span class="n">finter</span><span class="p">:</span>   <span class="mf">3.24378352</span> <span class="o">--</span>   <span class="mf">3.63842712</span> <span class="o">--</span>   <span class="mf">4.15538665</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Timings</span> <span class="k">for</span> <span class="n">SDC</span><span class="p">,</span> <span class="n">MLSDC</span> <span class="ow">and</span> <span class="n">MLSDC</span><span class="o">+</span><span class="n">finter</span><span class="p">:</span>   <span class="mf">3.20735410</span> <span class="o">--</span>   <span class="mf">3.58064647</span> <span class="o">--</span>   <span class="mf">4.14930329</span>
 <span class="n">Total</span> <span class="n">energy</span> <span class="ow">and</span> <span class="n">relative</span> <span class="n">deviation</span> <span class="ow">in</span> <span class="n">iteration</span>  <span class="mi">0</span><span class="p">:</span> <span class="mf">407936.7556966486</span> <span class="o">--</span> <span class="mf">0.00000000e+00</span>
 <span class="n">Total</span> <span class="n">energy</span> <span class="ow">and</span> <span class="n">relative</span> <span class="n">deviation</span> <span class="ow">in</span> <span class="n">iteration</span> <span class="mi">12</span><span class="p">:</span> <span class="mf">406977.9425667246</span> <span class="o">--</span> <span class="mf">2.35039652e-03</span>
 <span class="n">Total</span> <span class="n">energy</span> <span class="ow">and</span> <span class="n">relative</span> <span class="n">deviation</span> <span class="ow">in</span> <span class="n">iteration</span>  <span class="mi">0</span><span class="p">:</span> <span class="mf">407936.7556966486</span> <span class="o">--</span> <span class="mf">0.00000000e+00</span>
diff --git a/tutorial/doc_step_7_A.html b/tutorial/doc_step_7_A.html
index e6c4c26372..65b5a292ea 100644
--- a/tutorial/doc_step_7_A.html
+++ b/tutorial/doc_step_7_A.html
@@ -232,49 +232,49 @@ <h3>Navigation</h3>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.6661</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.6663</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">False</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">1.1387594756569534e-08</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2707</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2271</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass_timebc</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">False</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">3.2473562155116167e-07</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">3</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">3</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">1.10</span> <span class="o">--</span> <span class="mf">1.20</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2688</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2417</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass_inv</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">1.138768636885694e-08</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.3421</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.2374</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">1.1387216566052821e-08</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9371</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9052</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass_timebc</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">3.2473561574763597e-07</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">3</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">3</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">1.10</span> <span class="o">--</span> <span class="mf">1.20</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9332</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.8955</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass_inv</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">5</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">1.1150087179536389e-08</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">11.60</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">9</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">4</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">3.26</span> <span class="o">--</span> <span class="mf">10.64</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">3.7873</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">3.6634</span> <span class="n">sec</span><span class="o">.</span>
 
 </pre></div>
 </div>
diff --git a/tutorial/doc_step_7_B.html b/tutorial/doc_step_7_B.html
index 4af47b453d..89f36e5860 100644
--- a/tutorial/doc_step_7_B.html
+++ b/tutorial/doc_step_7_B.html
@@ -200,7 +200,7 @@ <h3>Navigation</h3>
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span> <span class="mi">19</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">2.10</span> <span class="o">--</span> <span class="mf">4.41</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">1.1321e-05</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.3253</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.4778</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">False</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">1.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">8.00</span> <span class="o">/</span> <span class="mf">11.40</span> <span class="o">/</span> <span class="mf">15.00</span>
@@ -208,7 +208,7 @@ <h3>Navigation</h3>
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span> <span class="mi">19</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">2.03</span> <span class="o">--</span> <span class="mf">4.14</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">4.1749e-06</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.0834</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2048</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">1.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">5.00</span> <span class="o">/</span> <span class="mf">6.60</span> <span class="o">/</span> <span class="mf">8.00</span>
@@ -216,7 +216,7 @@ <h3>Navigation</h3>
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span> <span class="mi">16</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">1.07</span> <span class="o">--</span> <span class="mf">1.14</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">1.1316e-05</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.3164</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.4295</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">1.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">4.00</span> <span class="o">/</span> <span class="mf">5.95</span> <span class="o">/</span> <span class="mf">8.00</span>
@@ -224,7 +224,7 @@ <h3>Navigation</h3>
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span> <span class="mi">19</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">1.02</span> <span class="o">--</span> <span class="mf">1.05</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">4.1744e-06</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2192</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2943</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">10.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">7.00</span> <span class="o">/</span> <span class="mf">12.45</span> <span class="o">/</span> <span class="mf">18.00</span>
@@ -232,7 +232,7 @@ <h3>Navigation</h3>
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">9</span> <span class="o">--</span> <span class="mi">10</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">3.11</span> <span class="o">--</span> <span class="mf">9.65</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">1.1306e-05</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.7519</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.9191</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">10.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span> <span class="o">/</span> <span class="mf">11.50</span> <span class="o">/</span> <span class="mf">17.00</span>
@@ -240,7 +240,7 @@ <h3>Navigation</h3>
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">9</span> <span class="o">--</span> <span class="mi">10</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">3.04</span> <span class="o">--</span> <span class="mf">9.25</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">4.1688e-06</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.6007</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.7466</span> <span class="n">sec</span><span class="o">.</span>
 
 </pre></div>
 </div>
diff --git a/tutorial/doc_step_7_C.html b/tutorial/doc_step_7_C.html
index 958191da38..3662933868 100644
--- a/tutorial/doc_step_7_C.html
+++ b/tutorial/doc_step_7_C.html
@@ -215,7 +215,7 @@ <h3>Navigation</h3>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.7523</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.3038</span> <span class="n">sec</span><span class="o">.</span>
 <span class="n">Error</span> <span class="n">vs</span><span class="o">.</span> <span class="n">PDE</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9479e-04</span>
 </pre></div>
 </div>
@@ -227,26 +227,26 @@ <h3>Navigation</h3>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.8781</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.8779</span> <span class="n">sec</span><span class="o">.</span>
 <span class="n">Error</span> <span class="n">vs</span><span class="o">.</span> <span class="n">PDE</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9479e-04</span>
 </pre></div>
 </div>
 <p>2 processor in time, 2 processors in space</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">This</span> <span class="ow">is</span> <span class="n">time</span><span class="o">-</span><span class="n">rank</span> <span class="mf">1.</span><span class="o">..</span>
-<span class="n">Number</span> <span class="n">of</span> <span class="n">iterations</span> <span class="k">for</span> <span class="n">time</span> <span class="mf">0.12</span><span class="p">:</span> <span class="mi">12</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">This</span> <span class="ow">is</span> <span class="n">time</span><span class="o">-</span><span class="n">rank</span> <span class="mf">0.</span><span class="o">..</span>
+<span class="n">Number</span> <span class="n">of</span> <span class="n">iterations</span> <span class="k">for</span> <span class="n">time</span> <span class="mf">0.00</span><span class="p">:</span> <span class="mi">12</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">12.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.7965</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.7735</span> <span class="n">sec</span><span class="o">.</span>
 <span class="n">Error</span> <span class="n">vs</span><span class="o">.</span> <span class="n">PDE</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9479e-04</span>
-<span class="n">This</span> <span class="ow">is</span> <span class="n">time</span><span class="o">-</span><span class="n">rank</span> <span class="mf">0.</span><span class="o">..</span>
-<span class="n">Number</span> <span class="n">of</span> <span class="n">iterations</span> <span class="k">for</span> <span class="n">time</span> <span class="mf">0.00</span><span class="p">:</span> <span class="mi">12</span>
+<span class="n">This</span> <span class="ow">is</span> <span class="n">time</span><span class="o">-</span><span class="n">rank</span> <span class="mf">1.</span><span class="o">..</span>
+<span class="n">Number</span> <span class="n">of</span> <span class="n">iterations</span> <span class="k">for</span> <span class="n">time</span> <span class="mf">0.12</span><span class="p">:</span> <span class="mi">12</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">12.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.7966</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.7726</span> <span class="n">sec</span><span class="o">.</span>
 <span class="n">Error</span> <span class="n">vs</span><span class="o">.</span> <span class="n">PDE</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9479e-04</span>
 </pre></div>
 </div>
diff --git a/tutorial/doc_step_7_D.html b/tutorial/doc_step_7_D.html
index fd7872176a..024ce50f61 100644
--- a/tutorial/doc_step_7_D.html
+++ b/tutorial/doc_step_7_D.html
@@ -129,27 +129,27 @@ <h3>Navigation</h3>
 </pre></div>
 </div>
 <p>Results:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span>  <span class="mi">50</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">3.9125e-03</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">100</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.2218e-05</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">150</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.0762e-07</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">200</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">6.1073e-10</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">250</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">3.0098e-12</span>
-<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.55e-03</span> <span class="n">during</span> <span class="n">training</span><span class="p">:</span> <span class="mf">1.66e-05</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span>  <span class="mi">50</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.0698e-04</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">100</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">3.5688e-07</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">150</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">4.3562e-09</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">200</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.2591e-11</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">250</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.2263e-13</span>
-<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">6.45e-03</span> <span class="n">during</span> <span class="n">training</span><span class="p">:</span> <span class="mf">8.15e-07</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span>  <span class="mi">50</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.7221e-05</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">100</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">9.8881e-08</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">150</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">4.2675e-10</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">200</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">3.2248e-12</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">250</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.6786e-14</span>
-<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.00e-02</span> <span class="n">during</span> <span class="n">training</span><span class="p">:</span> <span class="mf">3.40e-07</span>
-<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.55e-03</span> <span class="n">after</span> <span class="n">training</span><span class="p">:</span> <span class="mf">4.27e-01</span>
-<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">6.45e-03</span> <span class="n">after</span> <span class="n">training</span><span class="p">:</span> <span class="mf">1.13e-01</span>
-<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.00e-02</span> <span class="n">after</span> <span class="n">training</span><span class="p">:</span> <span class="mf">3.40e-07</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span>  <span class="mi">50</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">6.0419e-03</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">100</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">2.2858e-05</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">150</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.0228e-07</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">200</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">6.6946e-10</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">250</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">2.5570e-12</span>
+<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.55e-03</span> <span class="n">during</span> <span class="n">training</span><span class="p">:</span> <span class="mf">6.42e-06</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span>  <span class="mi">50</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">8.0754e-05</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">100</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">7.3524e-07</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">150</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">4.0323e-09</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">200</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">2.4311e-11</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">250</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">8.8606e-14</span>
+<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">6.45e-03</span> <span class="n">during</span> <span class="n">training</span><span class="p">:</span> <span class="mf">6.98e-07</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span>  <span class="mi">50</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">2.0748e-05</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">100</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.1005e-07</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">150</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">6.0699e-10</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">200</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.0267e-12</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">250</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.7684e-14</span>
+<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.00e-02</span> <span class="n">during</span> <span class="n">training</span><span class="p">:</span> <span class="mf">4.03e-07</span>
+<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.55e-03</span> <span class="n">after</span> <span class="n">training</span><span class="p">:</span> <span class="mf">4.30e-01</span>
+<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">6.45e-03</span> <span class="n">after</span> <span class="n">training</span><span class="p">:</span> <span class="mf">1.14e-01</span>
+<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.00e-02</span> <span class="n">after</span> <span class="n">training</span><span class="p">:</span> <span class="mf">4.03e-07</span>
 </pre></div>
 </div>
 
diff --git a/tutorial/doc_step_8_C.html b/tutorial/doc_step_8_C.html
index c63fd87d5b..98bae5f5d6 100644
--- a/tutorial/doc_step_8_C.html
+++ b/tutorial/doc_step_8_C.html
@@ -355,7 +355,7 @@ <h3>Navigation</h3>
    Errors after step   0.8750 with 6 iterations: 3.6530e-08 / 2.0645e-13
    Errors after step   1.0000 with 6 iterations: 3.6478e-08 / 1.2759e-13
 
-...done, took 0.36494277200000624 seconds!
+...done, took 0.35962027900001203 seconds!
 -----------------------------------------------------------------------------
 Running diffusion in 1 dimensions with time-step size 0.125...
 
@@ -369,7 +369,7 @@ <h3>Navigation</h3>
    Errors after step   0.8750 with 3 iterations: 3.5501e-08 / 3.9957e-13
    Errors after step   1.0000 with 3 iterations: 3.6813e-08 / 1.6975e-13
 
-...done, took 0.7456461689999969 seconds!
+...done, took 0.7439625540000065 seconds!
 -----------------------------------------------------------------------------
 Running advection in 1 dimensions with time-step size 0.125...
 
@@ -383,7 +383,7 @@ <h3>Navigation</h3>
    Errors after step   0.8750 with 4 iterations: 2.5517e-08 / 3.3307e-16
    Errors after step   1.0000 with 4 iterations: 2.9147e-08 / 4.4409e-16
 
-...done, took 0.22122125800001413 seconds!
+...done, took 0.21996212700000228 seconds!
 -----------------------------------------------------------------------------
 Running advection in 1 dimensions with time-step size 0.125...
 
@@ -397,7 +397,7 @@ <h3>Navigation</h3>
    Errors after step   0.8750 with 2 iterations: 2.5987e-08 / 3.1841e-13
    Errors after step   1.0000 with 2 iterations: 2.9666e-08 / 3.1819e-13
 
-...done, took 0.5711730019999948 seconds!
+...done, took 0.5739007139999899 seconds!
 -----------------------------------------------------------------------------
 Running auzinger in 1 dimensions with time-step size 0.125...
 
@@ -411,7 +411,7 @@ <h3>Navigation</h3>
    Errors after step   0.8750 with 6 iterations: 2.8266e-08 / 0.0000e+00
    Errors after step   1.0000 with 6 iterations: 2.8338e-08 / 0.0000e+00
 
-...done, took 0.1763785930000097 seconds!
+...done, took 0.17519275800000855 seconds!
 -----------------------------------------------------------------------------
 Running auzinger in 1 dimensions with time-step size 0.125...
 
@@ -425,7 +425,7 @@ <h3>Navigation</h3>
    Errors after step   0.8750 with 4 iterations: 3.1486e-08 / 0.0000e+00
    Errors after step   1.0000 with 4 iterations: 3.3802e-08 / 0.0000e+00
 
-...done, took 0.2025973019999867 seconds!
+...done, took 0.20010073200000988 seconds!
 -----------------------------------------------------------------------------
 </pre></div>
 </div>
diff --git a/tutorial/step_2.html b/tutorial/step_2.html
index b0ec1d92e4..7bdae89daf 100644
--- a/tutorial/step_2.html
+++ b/tutorial/step_2.html
@@ -417,7 +417,7 @@ <h2>Part C: Using pySDC’s frontend<a class="headerlink" href="#part-c-using-py
 </pre></div>
 </div>
 <p>Results:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>2024-07-25 12:19:53,710 - controller - controller - welcome_message - 146 - INFO: Welcome to the one and only, really very astonishing and 87.3% bug free
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>2024-07-27 09:10:56,633 - controller - controller - welcome_message - 146 - INFO: Welcome to the one and only, really very astonishing and 87.3% bug free
                                  _____ _____   _____ 
                                 / ____|  __ \ / ____|
                     _ __  _   _| (___ | |  | | |     
@@ -427,8 +427,8 @@ <h2>Part C: Using pySDC’s frontend<a class="headerlink" href="#part-c-using-py
                    | |     __/ |                     
                    |_|    |___/                      
                                                      
-2024-07-25 12:19:53,710 - controller - controller - dump_setup - 160 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- BEGIN
-2024-07-25 12:19:53,710 - controller - controller - dump_setup - 227 - INFO: ----------------------------------------------------------------------------------------------------
+2024-07-27 09:10:56,633 - controller - controller - dump_setup - 160 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- BEGIN
+2024-07-27 09:10:56,633 - controller - controller - dump_setup - 227 - INFO: ----------------------------------------------------------------------------------------------------
 
 Controller: &lt;class &#39;pySDC.implementations.controller_classes.controller_nonMPI.controller_nonMPI&#39;&gt;
     all_to_done = False
@@ -481,34 +481,34 @@ <h2>Part C: Using pySDC’s frontend<a class="headerlink" href="#part-c-using-py
  -&gt; |  1 |   100 | SpreadStepSizesBlockwiseNonMPI
     |  2 |   200 | CheckConvergence
 
-2024-07-25 12:19:53,710 - controller - controller - dump_setup - 230 - INFO: ----------------------------------------------------------------------------------------------------
-2024-07-25 12:19:53,710 - controller - controller - dump_setup - 232 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- END
-
-2024-07-25 12:19:53,715 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 4.11190756e-03
-2024-07-25 12:19:53,718 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 6.68442667e-04
-2024-07-25 12:19:53,722 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 8.80377591e-05
-2024-07-25 12:19:53,725 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 1.21707909e-05
-2024-07-25 12:19:53,729 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 1.38272147e-06
-2024-07-25 12:19:53,732 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 6.36445413e-07
-2024-07-25 12:19:53,736 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 1.68953216e-07
-2024-07-25 12:19:53,739 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 3.52601840e-08
-2024-07-25 12:19:53,743 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 6.07249025e-09
-2024-07-25 12:19:53,746 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 8.27343378e-10
-2024-07-25 12:19:53,750 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 1.18931339e-10
-2024-07-25 12:19:53,753 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 12 -- Sweep:  1 -- residual: 1.48499772e-11
-2024-07-25 12:19:53,758 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 6.69984764e-03
-2024-07-25 12:19:53,761 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 1.05518433e-03
-2024-07-25 12:19:53,765 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 1.40642621e-04
-2024-07-25 12:19:53,768 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 1.85982063e-05
-2024-07-25 12:19:53,772 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 2.79216702e-06
-2024-07-25 12:19:53,775 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 1.12278839e-06
-2024-07-25 12:19:53,779 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 2.85495353e-07
-2024-07-25 12:19:53,782 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 5.78947003e-08
-2024-07-25 12:19:53,786 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 9.68230621e-09
-2024-07-25 12:19:53,789 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 1.26313315e-09
-2024-07-25 12:19:53,792 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 1.82951499e-10
-2024-07-25 12:19:53,796 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 12 -- Sweep:  1 -- residual: 1.99691114e-11
-2024-07-25 12:19:53,797 - hooks - default_hook - post_run - 340 - INFO: Finished run after 0.09s
+2024-07-27 09:10:56,633 - controller - controller - dump_setup - 230 - INFO: ----------------------------------------------------------------------------------------------------
+2024-07-27 09:10:56,633 - controller - controller - dump_setup - 232 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- END
+
+2024-07-27 09:10:56,638 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 4.11190756e-03
+2024-07-27 09:10:56,641 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 6.68442667e-04
+2024-07-27 09:10:56,645 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 8.80377591e-05
+2024-07-27 09:10:56,648 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 1.21707909e-05
+2024-07-27 09:10:56,652 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 1.38272147e-06
+2024-07-27 09:10:56,655 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 6.36445413e-07
+2024-07-27 09:10:56,658 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 1.68953216e-07
+2024-07-27 09:10:56,662 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 3.52601840e-08
+2024-07-27 09:10:56,665 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 6.07249025e-09
+2024-07-27 09:10:56,669 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 8.27343378e-10
+2024-07-27 09:10:56,672 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 1.18931339e-10
+2024-07-27 09:10:56,676 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.100000 at stage         IT_FINE: Level: 0 -- Iteration: 12 -- Sweep:  1 -- residual: 1.48499772e-11
+2024-07-27 09:10:56,681 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 6.69984764e-03
+2024-07-27 09:10:56,684 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 1.05518433e-03
+2024-07-27 09:10:56,687 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 1.40642621e-04
+2024-07-27 09:10:56,691 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 1.85982063e-05
+2024-07-27 09:10:56,694 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 2.79216702e-06
+2024-07-27 09:10:56,698 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 1.12278839e-06
+2024-07-27 09:10:56,701 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 2.85495353e-07
+2024-07-27 09:10:56,705 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 5.78947003e-08
+2024-07-27 09:10:56,708 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 9.68230621e-09
+2024-07-27 09:10:56,711 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 1.26313315e-09
+2024-07-27 09:10:56,715 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 1.82951499e-10
+2024-07-27 09:10:56,718 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.200000 at stage         IT_FINE: Level: 0 -- Iteration: 12 -- Sweep:  1 -- residual: 1.99691114e-11
+2024-07-27 09:10:56,719 - hooks - default_hook - post_run - 340 - INFO: Finished run after 0.09s
 Error after SDC iterations: 1.166689e-05
 </pre></div>
 </div>
diff --git a/tutorial/step_3.html b/tutorial/step_3.html
index faeebb9899..7c6e49c498 100644
--- a/tutorial/step_3.html
+++ b/tutorial/step_3.html
@@ -344,7 +344,7 @@ <h2>Part B: Adding statistics<a class="headerlink" href="#part-b-adding-statisti
 </pre></div>
 </div>
 <p>Results:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>2024-07-25 12:19:54,290 - controller - controller - welcome_message - 146 - INFO: Welcome to the one and only, really very astonishing and 87.3% bug free
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span>2024-07-27 09:10:57,218 - controller - controller - welcome_message - 146 - INFO: Welcome to the one and only, really very astonishing and 87.3% bug free
                                  _____ _____   _____ 
                                 / ____|  __ \ / ____|
                     _ __  _   _| (___ | |  | | |     
@@ -354,8 +354,8 @@ <h2>Part B: Adding statistics<a class="headerlink" href="#part-b-adding-statisti
                    | |     __/ |                     
                    |_|    |___/                      
                                                      
-2024-07-25 12:19:54,291 - controller - controller - dump_setup - 160 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- BEGIN
-2024-07-25 12:19:54,291 - controller - controller - dump_setup - 227 - INFO: ----------------------------------------------------------------------------------------------------
+2024-07-27 09:10:57,218 - controller - controller - dump_setup - 160 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- BEGIN
+2024-07-27 09:10:57,218 - controller - controller - dump_setup - 227 - INFO: ----------------------------------------------------------------------------------------------------
 
 Controller: &lt;class &#39;pySDC.implementations.controller_classes.controller_nonMPI.controller_nonMPI&#39;&gt;
     all_to_done = False
@@ -403,21 +403,21 @@ <h2>Part B: Adding statistics<a class="headerlink" href="#part-b-adding-statisti
  -&gt; |  1 |   100 | SpreadStepSizesBlockwiseNonMPI
     |  2 |   200 | CheckConvergence
 
-2024-07-25 12:19:54,291 - controller - controller - dump_setup - 230 - INFO: ----------------------------------------------------------------------------------------------------
-2024-07-25 12:19:54,291 - controller - controller - dump_setup - 232 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- END
-
-2024-07-25 12:19:55,462 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 3.53203678e+00
-2024-07-25 12:19:55,467 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 2.09852117e-01
-2024-07-25 12:19:55,474 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 3.50301513e-02
-2024-07-25 12:19:55,481 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 4.67724741e-03
-2024-07-25 12:19:55,487 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 7.95583202e-04
-2024-07-25 12:19:55,492 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 1.11405073e-04
-2024-07-25 12:19:55,497 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 1.26902403e-05
-2024-07-25 12:19:55,502 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 1.16534547e-06
-2024-07-25 12:19:55,508 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 1.66968022e-07
-2024-07-25 12:19:55,513 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 2.09408171e-08
-2024-07-25 12:19:55,518 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 2.17123386e-09
-2024-07-25 12:19:55,520 - hooks - default_hook - post_run - 340 - INFO: Finished run after 1.23s
+2024-07-27 09:10:57,218 - controller - controller - dump_setup - 230 - INFO: ----------------------------------------------------------------------------------------------------
+2024-07-27 09:10:57,218 - controller - controller - dump_setup - 232 - INFO: Setup overview (--&gt; user-defined, -&gt; dependency) -- END
+
+2024-07-27 09:10:58,371 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  1 -- Sweep:  1 -- residual: 3.53203678e+00
+2024-07-27 09:10:58,376 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  2 -- Sweep:  1 -- residual: 2.09852117e-01
+2024-07-27 09:10:58,381 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  3 -- Sweep:  1 -- residual: 3.50301513e-02
+2024-07-27 09:10:58,387 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  4 -- Sweep:  1 -- residual: 4.67724741e-03
+2024-07-27 09:10:58,392 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  5 -- Sweep:  1 -- residual: 7.95583202e-04
+2024-07-27 09:10:58,397 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  6 -- Sweep:  1 -- residual: 1.11405073e-04
+2024-07-27 09:10:58,402 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  7 -- Sweep:  1 -- residual: 1.26902403e-05
+2024-07-27 09:10:58,408 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  8 -- Sweep:  1 -- residual: 1.16534547e-06
+2024-07-27 09:10:58,413 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration:  9 -- Sweep:  1 -- residual: 1.66968022e-07
+2024-07-27 09:10:58,418 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration: 10 -- Sweep:  1 -- residual: 2.09408171e-08
+2024-07-27 09:10:58,423 - hooks - default_hook - post_sweep - 170 - INFO: Process  0 on time 0.000000 at stage         IT_FINE: Level: 0 -- Iteration: 11 -- Sweep:  1 -- residual: 2.17123386e-09
+2024-07-27 09:10:58,425 - hooks - default_hook - post_run - 340 - INFO: Finished run after 1.21s
 Total energy and deviation in iteration  0: 8799.5000000000 -- 0.00000000e+00
 Total energy and deviation in iteration 11: 8785.0038936088 -- 1.44961064e+01
 </pre></div>
diff --git a/tutorial/step_4.html b/tutorial/step_4.html
index 6ba1f97e97..7b7d50cc4a 100644
--- a/tutorial/step_4.html
+++ b/tutorial/step_4.html
@@ -619,7 +619,7 @@ <h2>Part D: MLSDC with particles<a class="headerlink" href="#part-d-mlsdc-with-p
 </pre></div>
 </div>
 <p>Results:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Timings</span> <span class="k">for</span> <span class="n">SDC</span><span class="p">,</span> <span class="n">MLSDC</span> <span class="ow">and</span> <span class="n">MLSDC</span><span class="o">+</span><span class="n">finter</span><span class="p">:</span>   <span class="mf">3.24378352</span> <span class="o">--</span>   <span class="mf">3.63842712</span> <span class="o">--</span>   <span class="mf">4.15538665</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Timings</span> <span class="k">for</span> <span class="n">SDC</span><span class="p">,</span> <span class="n">MLSDC</span> <span class="ow">and</span> <span class="n">MLSDC</span><span class="o">+</span><span class="n">finter</span><span class="p">:</span>   <span class="mf">3.20735410</span> <span class="o">--</span>   <span class="mf">3.58064647</span> <span class="o">--</span>   <span class="mf">4.14930329</span>
 <span class="n">Total</span> <span class="n">energy</span> <span class="ow">and</span> <span class="n">relative</span> <span class="n">deviation</span> <span class="ow">in</span> <span class="n">iteration</span>  <span class="mi">0</span><span class="p">:</span> <span class="mf">407936.7556966486</span> <span class="o">--</span> <span class="mf">0.00000000e+00</span>
 <span class="n">Total</span> <span class="n">energy</span> <span class="ow">and</span> <span class="n">relative</span> <span class="n">deviation</span> <span class="ow">in</span> <span class="n">iteration</span> <span class="mi">12</span><span class="p">:</span> <span class="mf">406977.9425667246</span> <span class="o">--</span> <span class="mf">2.35039652e-03</span>
 <span class="n">Total</span> <span class="n">energy</span> <span class="ow">and</span> <span class="n">relative</span> <span class="n">deviation</span> <span class="ow">in</span> <span class="n">iteration</span>  <span class="mi">0</span><span class="p">:</span> <span class="mf">407936.7556966486</span> <span class="o">--</span> <span class="mf">0.00000000e+00</span>
diff --git a/tutorial/step_7.html b/tutorial/step_7.html
index 450350d4f8..b5ae065daf 100644
--- a/tutorial/step_7.html
+++ b/tutorial/step_7.html
@@ -256,49 +256,49 @@ <h2>Part A: pySDC and FEniCS<a class="headerlink" href="#part-a-pysdc-and-fenics
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.6661</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.6663</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">False</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">1.1387594756569534e-08</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2707</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2271</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass_timebc</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">False</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">3.2473562155116167e-07</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">3</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">3</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">1.10</span> <span class="o">--</span> <span class="mf">1.20</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2688</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2417</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass_inv</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">1.138768636885694e-08</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.3421</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.2374</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">1.1387216566052821e-08</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9371</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9052</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass_timebc</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">1</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">3.2473561574763597e-07</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">3</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">3</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">1.10</span> <span class="o">--</span> <span class="mf">1.20</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9332</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.8955</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Variant</span> <span class="n">mass_inv</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mi">5</span> <span class="o">--</span> <span class="n">error</span> <span class="n">at</span> <span class="n">time</span> <span class="mf">1.0</span><span class="p">:</span> <span class="mf">1.1150087179536389e-08</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">11.60</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">9</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">4</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">3.26</span> <span class="o">--</span> <span class="mf">10.64</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">3.7873</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">3.6634</span> <span class="n">sec</span><span class="o">.</span>
 
 </pre></div>
 </div>
@@ -479,7 +479,7 @@ <h2>Part B: mpi4py-fft for parallel Fourier transforms<a class="headerlink" href
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span> <span class="mi">19</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">2.10</span> <span class="o">--</span> <span class="mf">4.41</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">1.1321e-05</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.3253</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.4778</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">False</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">1.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">8.00</span> <span class="o">/</span> <span class="mf">11.40</span> <span class="o">/</span> <span class="mf">15.00</span>
@@ -487,7 +487,7 @@ <h2>Part B: mpi4py-fft for parallel Fourier transforms<a class="headerlink" href
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span> <span class="mi">19</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">2.03</span> <span class="o">--</span> <span class="mf">4.14</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">4.1749e-06</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.0834</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2048</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">1.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">5.00</span> <span class="o">/</span> <span class="mf">6.60</span> <span class="o">/</span> <span class="mf">8.00</span>
@@ -495,7 +495,7 @@ <h2>Part B: mpi4py-fft for parallel Fourier transforms<a class="headerlink" href
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span> <span class="mi">16</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">1.07</span> <span class="o">--</span> <span class="mf">1.14</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">1.1316e-05</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.3164</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.4295</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">1.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">4.00</span> <span class="o">/</span> <span class="mf">5.95</span> <span class="o">/</span> <span class="mf">8.00</span>
@@ -503,7 +503,7 @@ <h2>Part B: mpi4py-fft for parallel Fourier transforms<a class="headerlink" href
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span> <span class="mi">19</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">1.02</span> <span class="o">--</span> <span class="mf">1.05</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">4.1744e-06</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2192</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.2943</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">10.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">7.00</span> <span class="o">/</span> <span class="mf">12.45</span> <span class="o">/</span> <span class="mf">18.00</span>
@@ -511,7 +511,7 @@ <h2>Part B: mpi4py-fft for parallel Fourier transforms<a class="headerlink" href
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">9</span> <span class="o">--</span> <span class="mi">10</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">3.11</span> <span class="o">--</span> <span class="mf">9.65</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">1.1306e-05</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.7519</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.9191</span> <span class="n">sec</span><span class="o">.</span>
 
 <span class="n">Running</span> <span class="k">with</span> <span class="n">ml</span><span class="o">=</span><span class="kc">True</span> <span class="ow">and</span> <span class="n">num_procs</span><span class="o">=</span><span class="mf">10.</span><span class="o">..</span>
    <span class="n">Min</span><span class="o">/</span><span class="n">Mean</span><span class="o">/</span><span class="n">Max</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">6.00</span> <span class="o">/</span> <span class="mf">11.50</span> <span class="o">/</span> <span class="mf">17.00</span>
@@ -519,7 +519,7 @@ <h2>Part B: mpi4py-fft for parallel Fourier transforms<a class="headerlink" href
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">9</span> <span class="o">--</span> <span class="mi">10</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">3.04</span> <span class="o">--</span> <span class="mf">9.25</span>
 <span class="n">Error</span><span class="p">:</span> <span class="mf">4.1688e-06</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.6007</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.7466</span> <span class="n">sec</span><span class="o">.</span>
 
 </pre></div>
 </div>
@@ -714,7 +714,7 @@ <h2>Part C: Time-parallel pySDC with space-parallel PETSc<a class="headerlink" h
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.7523</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">2.3038</span> <span class="n">sec</span><span class="o">.</span>
 <span class="n">Error</span> <span class="n">vs</span><span class="o">.</span> <span class="n">PDE</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9479e-04</span>
 </pre></div>
 </div>
@@ -726,26 +726,26 @@ <h2>Part C: Time-parallel pySDC with space-parallel PETSc<a class="headerlink" h
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.8781</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.8779</span> <span class="n">sec</span><span class="o">.</span>
 <span class="n">Error</span> <span class="n">vs</span><span class="o">.</span> <span class="n">PDE</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9479e-04</span>
 </pre></div>
 </div>
 <p>2 processor in time, 2 processors in space</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">This</span> <span class="ow">is</span> <span class="n">time</span><span class="o">-</span><span class="n">rank</span> <span class="mf">1.</span><span class="o">..</span>
-<span class="n">Number</span> <span class="n">of</span> <span class="n">iterations</span> <span class="k">for</span> <span class="n">time</span> <span class="mf">0.12</span><span class="p">:</span> <span class="mi">12</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">This</span> <span class="ow">is</span> <span class="n">time</span><span class="o">-</span><span class="n">rank</span> <span class="mf">0.</span><span class="o">..</span>
+<span class="n">Number</span> <span class="n">of</span> <span class="n">iterations</span> <span class="k">for</span> <span class="n">time</span> <span class="mf">0.00</span><span class="p">:</span> <span class="mi">12</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">12.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.7965</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.7735</span> <span class="n">sec</span><span class="o">.</span>
 <span class="n">Error</span> <span class="n">vs</span><span class="o">.</span> <span class="n">PDE</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9479e-04</span>
-<span class="n">This</span> <span class="ow">is</span> <span class="n">time</span><span class="o">-</span><span class="n">rank</span> <span class="mf">0.</span><span class="o">..</span>
-<span class="n">Number</span> <span class="n">of</span> <span class="n">iterations</span> <span class="k">for</span> <span class="n">time</span> <span class="mf">0.00</span><span class="p">:</span> <span class="mi">12</span>
+<span class="n">This</span> <span class="ow">is</span> <span class="n">time</span><span class="o">-</span><span class="n">rank</span> <span class="mf">1.</span><span class="o">..</span>
+<span class="n">Number</span> <span class="n">of</span> <span class="n">iterations</span> <span class="k">for</span> <span class="n">time</span> <span class="mf">0.12</span><span class="p">:</span> <span class="mi">12</span>
    <span class="n">Mean</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">12.00</span>
    <span class="n">Range</span> <span class="n">of</span> <span class="n">values</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> 
    <span class="n">Position</span> <span class="n">of</span> <span class="nb">max</span><span class="o">/</span><span class="nb">min</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span>  <span class="mi">0</span> <span class="o">--</span>  <span class="mi">0</span>
    <span class="n">Std</span> <span class="ow">and</span> <span class="n">var</span> <span class="k">for</span> <span class="n">number</span> <span class="n">of</span> <span class="n">iterations</span><span class="p">:</span> <span class="mf">0.00</span> <span class="o">--</span> <span class="mf">0.00</span>
-<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.7966</span> <span class="n">sec</span><span class="o">.</span>
+<span class="n">Time</span> <span class="n">to</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">0.7726</span> <span class="n">sec</span><span class="o">.</span>
 <span class="n">Error</span> <span class="n">vs</span><span class="o">.</span> <span class="n">PDE</span> <span class="n">solution</span><span class="p">:</span> <span class="mf">1.9479e-04</span>
 </pre></div>
 </div>
@@ -850,27 +850,27 @@ <h2>Part D: pySDC and PyTorch<a class="headerlink" href="#part-d-pysdc-and-pytor
 </pre></div>
 </div>
 <p>Results:</p>
-<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span>  <span class="mi">50</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">3.9125e-03</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">100</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.2218e-05</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">150</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.0762e-07</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">200</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">6.1073e-10</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">250</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">3.0098e-12</span>
-<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.55e-03</span> <span class="n">during</span> <span class="n">training</span><span class="p">:</span> <span class="mf">1.66e-05</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span>  <span class="mi">50</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.0698e-04</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">100</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">3.5688e-07</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">150</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">4.3562e-09</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">200</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.2591e-11</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">250</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.2263e-13</span>
-<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">6.45e-03</span> <span class="n">during</span> <span class="n">training</span><span class="p">:</span> <span class="mf">8.15e-07</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span>  <span class="mi">50</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.7221e-05</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">100</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">9.8881e-08</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">150</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">4.2675e-10</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">200</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">3.2248e-12</span>
-<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">250</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.6786e-14</span>
-<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.00e-02</span> <span class="n">during</span> <span class="n">training</span><span class="p">:</span> <span class="mf">3.40e-07</span>
-<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.55e-03</span> <span class="n">after</span> <span class="n">training</span><span class="p">:</span> <span class="mf">4.27e-01</span>
-<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">6.45e-03</span> <span class="n">after</span> <span class="n">training</span><span class="p">:</span> <span class="mf">1.13e-01</span>
-<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.00e-02</span> <span class="n">after</span> <span class="n">training</span><span class="p">:</span> <span class="mf">3.40e-07</span>
+<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span>  <span class="mi">50</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">6.0419e-03</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">100</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">2.2858e-05</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">150</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.0228e-07</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">200</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">6.6946e-10</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.55e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">250</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">2.5570e-12</span>
+<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.55e-03</span> <span class="n">during</span> <span class="n">training</span><span class="p">:</span> <span class="mf">6.42e-06</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span>  <span class="mi">50</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">8.0754e-05</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">100</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">7.3524e-07</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">150</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">4.0323e-09</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">200</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">2.4311e-11</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">6.45e-03</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">250</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">8.8606e-14</span>
+<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">6.45e-03</span> <span class="n">during</span> <span class="n">training</span><span class="p">:</span> <span class="mf">6.98e-07</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span>  <span class="mi">50</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">2.0748e-05</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">100</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.1005e-07</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">150</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">6.0699e-10</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">200</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.0267e-12</span>
+<span class="n">Training</span> <span class="k">for</span> <span class="n">dt</span><span class="o">=</span><span class="mf">1.00e-02</span><span class="p">:</span> <span class="n">Epoch</span> <span class="p">[</span> <span class="mi">250</span><span class="o">/</span> <span class="mi">250</span><span class="p">],</span> <span class="n">Loss</span><span class="p">:</span> <span class="mf">1.7684e-14</span>
+<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.00e-02</span> <span class="n">during</span> <span class="n">training</span><span class="p">:</span> <span class="mf">4.03e-07</span>
+<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.55e-03</span> <span class="n">after</span> <span class="n">training</span><span class="p">:</span> <span class="mf">4.30e-01</span>
+<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">6.45e-03</span> <span class="n">after</span> <span class="n">training</span><span class="p">:</span> <span class="mf">1.14e-01</span>
+<span class="n">Error</span> <span class="n">of</span> <span class="n">prediction</span> <span class="n">at</span> <span class="mf">1.00e-02</span> <span class="n">after</span> <span class="n">training</span><span class="p">:</span> <span class="mf">4.03e-07</span>
 </pre></div>
 </div>
 </section>
diff --git a/tutorial/step_8.html b/tutorial/step_8.html
index 3b13ba648a..50edb4f612 100644
--- a/tutorial/step_8.html
+++ b/tutorial/step_8.html
@@ -678,7 +678,7 @@ <h2>Part C: Iteration estimator<a class="headerlink" href="#part-c-iteration-est
    Errors after step   0.8750 with 6 iterations: 3.6530e-08 / 2.0645e-13
    Errors after step   1.0000 with 6 iterations: 3.6478e-08 / 1.2759e-13
 
-...done, took 0.36494277200000624 seconds!
+...done, took 0.35962027900001203 seconds!
 -----------------------------------------------------------------------------
 Running diffusion in 1 dimensions with time-step size 0.125...
 
@@ -692,7 +692,7 @@ <h2>Part C: Iteration estimator<a class="headerlink" href="#part-c-iteration-est
    Errors after step   0.8750 with 3 iterations: 3.5501e-08 / 3.9957e-13
    Errors after step   1.0000 with 3 iterations: 3.6813e-08 / 1.6975e-13
 
-...done, took 0.7456461689999969 seconds!
+...done, took 0.7439625540000065 seconds!
 -----------------------------------------------------------------------------
 Running advection in 1 dimensions with time-step size 0.125...
 
@@ -706,7 +706,7 @@ <h2>Part C: Iteration estimator<a class="headerlink" href="#part-c-iteration-est
    Errors after step   0.8750 with 4 iterations: 2.5517e-08 / 3.3307e-16
    Errors after step   1.0000 with 4 iterations: 2.9147e-08 / 4.4409e-16
 
-...done, took 0.22122125800001413 seconds!
+...done, took 0.21996212700000228 seconds!
 -----------------------------------------------------------------------------
 Running advection in 1 dimensions with time-step size 0.125...
 
@@ -720,7 +720,7 @@ <h2>Part C: Iteration estimator<a class="headerlink" href="#part-c-iteration-est
    Errors after step   0.8750 with 2 iterations: 2.5987e-08 / 3.1841e-13
    Errors after step   1.0000 with 2 iterations: 2.9666e-08 / 3.1819e-13
 
-...done, took 0.5711730019999948 seconds!
+...done, took 0.5739007139999899 seconds!
 -----------------------------------------------------------------------------
 Running auzinger in 1 dimensions with time-step size 0.125...
 
@@ -734,7 +734,7 @@ <h2>Part C: Iteration estimator<a class="headerlink" href="#part-c-iteration-est
    Errors after step   0.8750 with 6 iterations: 2.8266e-08 / 0.0000e+00
    Errors after step   1.0000 with 6 iterations: 2.8338e-08 / 0.0000e+00
 
-...done, took 0.1763785930000097 seconds!
+...done, took 0.17519275800000855 seconds!
 -----------------------------------------------------------------------------
 Running auzinger in 1 dimensions with time-step size 0.125...
 
@@ -748,7 +748,7 @@ <h2>Part C: Iteration estimator<a class="headerlink" href="#part-c-iteration-est
    Errors after step   0.8750 with 4 iterations: 3.1486e-08 / 0.0000e+00
    Errors after step   1.0000 with 4 iterations: 3.3802e-08 / 0.0000e+00
 
-...done, took 0.2025973019999867 seconds!
+...done, took 0.20010073200000988 seconds!
 -----------------------------------------------------------------------------
 </pre></div>
 </div>