Une famille de schémas numériques T.V.D. pour les lois de conservation hyperboliques

DOI10.1051/M2AN/1986200304291zbMath0623.65093OpenAlexW2489082430MaRDI QIDQ3761610

H. Gilquin

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/193485

zbMATH Keywords

stabilityconvergencenumerical resultsCauchy problemGodunov schemetotal variation diminishingGlimm schemeweak entropy solution

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) 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)

Cites Work

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• Approximate Riemann solvers, parameter vectors, and difference schemes
• The deterministic version of the Glimm scheme
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• Hyperbolic systems of conservation laws II
• On the Relation Between the Upwind-Differencing Schemes of Godunov, Engquist–Osher and Roe
• Riemann Solvers, the Entropy Condition, and Difference
• Admissible solutions of hyperbolic conservation laws
• A Random Choice Finite Difference Scheme for Hyperbolic Conservation Laws
• Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
• Solutions in the large for nonlinear hyperbolic systems of equations
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES

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