On the convergence of Godunov scheme for nonlinear hyperbolic systems

DOI10.1142/S0252959900000303zbMath0959.35110OpenAlexW2069358003MaRDI QIDQ1586094

Alberto Bressan, Helge Kristian Jenssen

Publication date: 18 April 2001

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0252959900000303

zbMATH Keywords

initial data with small total variationRiemann solverDuhamel's principle\(L^{1}\)-stability

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35) Initial value problems for first-order hyperbolic systems (35L45)

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