Asymptotic analysis of finite difference methods

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摘要

With this article, we want to advocate the use of asymptotic methods for the analysis of finite difference schemes. We present several examples to demonstrate the applicability of the approach. Advantages over the modified equation and truncation error analysis are pointed out.

论文关键词：Finite difference methods,Initial value problems,Boundary value problems,Modified equations,Asymptotic error analysis,Multiscale expansions,Matched asymptotic expansions

论文评审过程：Available online 7 November 2003.

论文官网地址：https://doi.org/10.1016/j.amc.2003.08.097