Two A Posteriori Error Estimates for One-Dimensional Scalar Conservation Laws

DOI10.1137/S0036142999350383zbMath0980.65096OpenAlexW2125123420MaRDI QIDQ4509716

Laurent Gosse, Charalambos G. Makridakis

Publication date: 19 October 2000

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142999350383

zbMATH Keywords

convergenceconservation lawsentropy inequalitynumerical examplesa posteriori error estimatesadaptive finite difference methodentropy dissipationLax-Friedrichs schemes

Mathematics Subject Classification ID

Wave equation (35L05) 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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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