Asymptotic analysis of finite difference methods

DOI10.1016/j.amc.2003.08.097zbMath1061.65084OpenAlexW2084917984MaRDI QIDQ1888288

Michael Junk, Zhaoxia Yang

Publication date: 23 November 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://nbn-resolving.de/urn:nbn:de:bsz:352-255571

zbMATH Keywords

numerical examplesBoundary value problemsmultistep methodFinite difference methodsMatched asymptotic expansionsInitial value problemsAsymptotic error analysisModified equationsMultiscale expansions

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Error bounds for numerical methods for ordinary differential equations (65L70) Initial value problems for first-order hyperbolic systems (35L45) Finite difference and finite volume methods for ordinary differential equations (65L12)

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