An improved convergence rate of Glimm scheme for general systems of hyperbolic conservation laws

DOI10.1016/j.jde.2006.03.017zbMath1112.65084OpenAlexW2003250028MaRDI QIDQ859499

Tong Yang, Jiale Hua

Publication date: 16 January 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2006.03.017

zbMATH Keywords

conservation lawshyperbolic systemserror estimate

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

Sharp convergence rate of the Glimm scheme for general nonlinear hyperbolic systems ⋮ A NOTE ON THE NEW GLIMM FUNCTIONAL FOR GENERAL SYSTEMS OF HYPERBOLIC CONSERVATION LAWS ⋮ A locally quadratic Glimm functional and sharp convergence rate of the Glimm scheme for nonlinear hyperbolic systems ⋮ A new Glimm functional and convergence rate of Glimm scheme for general systems of hyperbolic conservation laws

Cites Work

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• Well-posedness of the Cauchy problem for 𝑛×𝑛 systems of conservation laws
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