Large-Time Behavior of Solutions of Lax-Friedrichs Finite Difference Equations for Hyperbolic Systems of Conservation Laws

DOI10.2307/2008532zbMath0711.65076OpenAlexW4237364439MaRDI QIDQ3495574

I.-Liang Chern

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2008532

zbMATH Keywords

rate of convergenceheat equationBurgers equationhyperbolic systems of conservation lawslarge-time behaviordiscrete solutionsaveraging processdiscrete diffusion wavesLax-Friedrichs finite difference equations

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)

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Asymptotic stability of discrete shock waves for the Lax-Friedrichs scheme to hyperbolic systems of conservation laws, Asymptotic stability of stationary discrete shocks of Lax-Friedrichs scheme for non-convex conservation laws, Nonlinear stability of discrete shocks for systems of conservation laws