Convergence of approximate solutions of the Cauchy problem for a \(2\times 2\) nonstrictly hyperbolic system of conservation laws

DOI10.1016/S0377-0427(98)00247-7zbMath0944.65102OpenAlexW2091055757MaRDI QIDQ1300740

N. Luis E. León

Publication date: 13 September 2000

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(98)00247-7

zbMATH Keywords

convergenceconservation lawsCauchy problemLax-Friedrichs schemehyperbolic system

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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• Convergence of the viscosity method for isentropic gas dynamics
• Convergence of approximate solutions to conservation laws
• La compacité par compensation pour les systèmes hyperboliques nonlinéaires de deux équations à une dimension d'espace. (Compensated compactness for 2\(\times 2\) hyperbolic systems of conservation laws)
• Measure-valued solutions to conservation laws
• Invariant Regions for Systems of Conservation Laws
• Compensated Compactness and General Systems of Conservation Laws

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