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Merge pull request #760 from Parallel-in-Time/bibtex-bibbot-759-24a539e
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pancetta authored Jan 6, 2024
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Expand Up @@ -6894,6 +6894,15 @@ @unpublished{ZhouEtAl2023b
year = {2023},
}

@unpublished{BossuytEtAl2024,
abstract = {In this paper, we are concerned with the micro-macro Parareal algorithm for the simulation of initial-value problems. In this algorithm, a coarse (fast) solver is applied sequentially over the time domain, and a fine (time-consuming) solver is applied as a corrector in parallel over smaller chunks of the time interval. Moreover, the coarse solver acts on a reduced state variable, which is coupled to the fine state variable through appropriate coupling operators. We first provide a contribution to the convergence analysis of the micro-macro Parareal method for multiscale linear ordinary differential equations (ODEs). Then, we extend a variant of the micro-macro Parareal algorithm for scalar stochastic differential equations (SDEs) to higher-dimensional SDEs.},
author = {Ignace Bossuyt and Stefan Vandewalle and Giovanni Samaey},
howpublished = {arXiv:2401.01798v1 [math.NA]},
title = {Micro-macro Parareal, from ODEs to SDEs and back again},
url = {http://arxiv.org/abs/2401.01798v1},
year = {2024},
}

@article{JanssensEtAl2024,
author = {Janssens, N. and Meyers, J.},
doi = {10.1016/j.cpc.2023.109019},
Expand All @@ -6907,3 +6916,18 @@ @article{JanssensEtAl2024
volume = {296},
year = {2024},
}

@article{LiEtAl2024,
author = {Li, Fu and Xu, Yingxiang},
doi = {10.4208/eajam.2022-304.070323},
issn = {2079-7370},
journal = {East Asian Journal on Applied Mathematics},
month = {June},
number = {1},
pages = {47–78},
publisher = {Global Science Press},
title = {A Diagonalization-Based Parallel-in-Time Algorithm for Crank-Nicolson’s Discretization of the Viscoelastic Equation},
url = {http://dx.doi.org/10.4208/eajam.2022-304.070323},
volume = {14},
year = {2024},
}

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