The convergence of the GRP scheme

DOI10.3934/DCDS.2009.23.1zbMath1167.65050OpenAlexW2055839414MaRDI QIDQ1001771

Joseph Falcovitz, Matania Ben-Artzi, Jiequan Li

Publication date: 19 February 2009

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2009.23.1

zbMATH Keywords

entropyentropy solutionConvergenceTVDgeneralized Riemann problemGRP schemeGodunov compatibilityHyperbolic conservation laws

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) 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)

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Entropy convergence of new two-value scheme with slope relaxation for conservation laws ⋮ Consistency of finite volume approximations to nonlinear hyperbolic balance laws

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