The modified equation as a model of local errors in convective schemes

DOI10.1016/0377-0427(86)90174-3zbMath0628.65072OpenAlexW1988905263MaRDI QIDQ1093332

Peter Wilders

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0377-0427(86)90174-3

zbMATH Keywords

difference schemesEstimateslocal errorsmethod of differential approximationmodified equationsconvective equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

• The modified equation approach to the stability and accuracy analysis of finite-difference methods
• Local errors o f difference approximations to hyperbolic equations
• Flux-corrected transport. III: Minimal-error FCT algorithms
• Models of Difference Schemes for u t + u x = 0 by Partial Differential Equations
• A Dispersion Analysis for Difference Schemes: Tables of Generalized Airy Functions
• Whittaker's Cardinal Function in Retrospect
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