Asymptotic analysis of finite difference methods

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. Key words: finite difference methods, initial value problems, boundary value problems, modified equations, asymptotic error analysis, multiscale expansions, matched asymptotic expansions MSC2000: 65M06, 39A11

• Type: Journal
• Year: 2004
• Where: AMC
• Authors: Michael Junk, Zhaoxia Yang
• Keywords: AMC 2004, Error Analysis, Finite Difference, Value Problems