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CALCULUS-NUMERICAL

Author: KCN-judu

License: MIT

STATE

Introduction(简介)

This is a calculus numerical solution library written using MoonBit, aiming to fill the gap in scientific computing applications in the MoonBit ecosystem.

这是一个使用MoonBit编写的微积分数值求解库,旨在填补MoonBit生态中科学计算应用相关的空缺。


This project will provide basic numerical solution methods for calculus, and multiple optional numerical solution methods for the integral part. On this basis, we will also provide support for complex number related calculations such as Fourier transform.

本项目将会提供基本的微积分数值求解方法,在积分部分会提供多种可选的数值求解方法。在此基础上,我们还会对如傅里叶变换等复数相关的计算提供支持。


Starting from the first beta version is officially released, the completeness of the English and Chinese documents will be guaranteed. Japanese documents may be added in subsequent version updates.

在第一个测试版本正式发布开始,将会保证英文和中文文档的完整性。在后续的版本更新中可能会加入日语文档。


Project Progress(项目进度)

DONE(已完成):

  • Derivative approximation computation with error estimates(带有误差估计的导数近似值计算)

  • Numerical differentiation with error estimates, based on finite difference method(带有误差估计的基于有限差分法的数值微分)

  • Quadrature with error estimates, based on Gauss-Kronrod method(基于高斯-克朗罗德方法的带有误差估计的数值积分)

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