Heuristic Modified Equation Analysis on Oscillations in Numerical Solutions of Conservation Laws

DOI10.1137/110822591zbMath1248.65094OpenAlexW2072540279MaRDI QIDQ3116413

Jiequan Li, Zhicheng Yang

Publication date: 22 February 2012

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110822591

zbMATH Keywords

numerical examplesnumerical diffusionfinite volumefinite differenceamplificationmodified equationRichtmyernumerical oscillationsnumerical dampingCourant- Friedrich-Lewyfirst order nonlinear hyperbolic equationMacCormacktotal variation dimishing schemesZwas-Abarbanel

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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