On the derivation of the modified equation for the analysis of linear numerical methods

DOI10.1051/m2an/1997310404591zbMath0881.65084OpenAlexW2524648207MaRDI QIDQ4349165

Armel de la Bourdonnaye, Romuald Carpentier, Bernard Larrouturou

Publication date: 16 February 1998

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193845

zbMATH Keywords

evolution equationerror analysismodified equation technique

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

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Cites Work

• A critical analysis of the modified equation technique of warming and Hyett
• The validity of the modified equation for nonlinear shock waves
• The modified equation approach to the stability and accuracy analysis of finite-difference methods
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