Nonlinear stability of stationary discrete shocks for nonconvex scalar conservation laws

DOI10.1090/S0025-5718-96-00733-8zbMath0855.65101OpenAlexW2049938098MaRDI QIDQ4889923

Jinghua Wang, Hai-liang Liu

Publication date: 3 February 1997

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-96-00733-8

zbMATH Keywords

asymptotic stabilityweighted energy methodLax-Friedrichs schemenonconvex scalar conservation lawsstationary discrete shocks

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)

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The $l^1$ global decay to discrete shocks for scalar monotone schemes, Asymptotic stability of shock profiles for nonconvex convection-diffusion equation, Asymptotic stability of stationary discrete shocks of Lax-Friedrichs scheme for non-convex conservation laws