A Comparison of Convergence Rates for Godunov’s Method and Glimm’s Method in Resonant Nonlinear Systems of Conservation Laws

DOI10.1137/0732038zbMath0830.35079OpenAlexW1969830344MaRDI QIDQ4846776

Jinghua Wang, Longwei Lin, J. Blake Temple

Publication date: 22 October 1995

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

Full work available at URL: https://doi.org/10.1137/0732038

zbMATH Keywords

convergence rateGodunov's methodGlimm's method\(2 \times 2\) nonstrictly hyperbolic systemresonant inhomogeneous conservation lawtime independent bounds on derivatives

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Hyperbolic conservation laws (35L65) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (12)

δ-mapping algorithm and its application in traffic flow problems with inhomogeneities ⋮ A relaxation scheme for conservation laws with a discontinuous coefficient ⋮ A random sampling method for a family of temple-class systems of conservation laws ⋮ Central schemes and systems of conservation laws with discontinuous coefficients modeling gravity separation of polydisperse suspensions. ⋮ Godunov-type approximation for a general resonant balance law with large data. ⋮ Optimal results on TV bounds for scalar conservation laws with discontinuous flux ⋮ \(l^1\)-error estimates on the immersed interface upwind scheme for linear convection equations with piecewise constant coefficients: a simple proof ⋮ Stability of a numerical scheme for methane transport in hydrate zone under equilibrium and non-equilibrium conditions ⋮ Conservation laws with discontinuous flux: a short introduction ⋮ ANALYSIS AND APPROXIMATION OF A SCALAR CONSERVATION LAW WITH A FLUX FUNCTION WITH DISCONTINUOUS COEFFICIENTS ⋮ Existence and nonexistence of TV bounds for scalar conservation laws with discontinuous flux ⋮ ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO CONSERVATION LAWS WITH PERIODIC FORCING

This page was built for publication: A Comparison of Convergence Rates for Godunov’s Method and Glimm’s Method in Resonant Nonlinear Systems of Conservation Laws