Discrete Shocks for Finite Difference Approximations to Scalar Conservation Laws

DOI10.1137/S0036142996307090zbMath0913.65078OpenAlexW2025896389MaRDI QIDQ4389152

Shih-Hsien Yu, Guang-Shan Jiang

Publication date: 12 May 1998

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

Full work available at URL: https://doi.org/10.1137/s0036142996307090

zbMATH Keywords

stabilityconservation lawerror boundsfinite differenceENO schemeLax-Friedrichs schemeessentially non-oscillatory schemediscrete shockLax-Wendroffs scheme

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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The $l^1$ global decay to discrete shocks for scalar monotone schemes ⋮ Traveling solutions for a multi-anticipative car-following traffic model ⋮ Existence and asymptotic stability of relaxation discrete shock profiles ⋮ Semidiscrete shocks for the full velocity difference model ⋮ Supersonic flow onto a solid wedge ⋮ Third-order energy stable WENO scheme ⋮ A systematic methodology for constructing high-order energy stable WENO schemes ⋮ Stationary Discrete Shock Profiles for Scalar Conservation Laws with a Discontinuous Galerkin Method

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