Convergence Rates for Relaxation Schemes Approximating Conservation Laws

DOI10.1137/S0036142998346882zbMath0954.35108OpenAlexW2007157996MaRDI QIDQ4509637

Gerald Warnecke, Hai-liang Liu

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/s0036142998346882

zbMATH Keywords

discretization errorrelaxation modelrelaxation error

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (11)

Stringent error estimates for one-dimensional, space-dependent \(2\times 2\) relaxation systems ⋮ A relaxation scheme for conservation laws with a discontinuous coefficient ⋮ Application of a fourth-order relaxation scheme to hyperbolic systems of conservation laws ⋮ AN ALTERNATING EVOLUTION APPROXIMATION TO SYSTEMS OF HYPERBOLIC CONSERVATION LAWS ⋮ Linear stability of shock profiles for systems of conservation laws with semi-linear relaxation ⋮ Time discretizations for numerical optimisation of hyperbolic problems ⋮ Variants of relaxed schemes and two-dimensional gas dynamics ⋮ Numerical solution of the two-dimensional shallow water equations by the application of relaxation methods ⋮ Nonlinear stability of the relaxing schemes for scalar conservation laws ⋮ A class of approximate Riemann solvers and their relation to relaxation schemes ⋮ Kinetic derivation of a finite difference scheme for the incompressible Navier-Stokes equations

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