Stability of Numerical Schemes Solving Quasi-Linear Wave Equations

DOI10.2307/2007728zbMath0457.65067OpenAlexW4247820543MaRDI QIDQ3907020

Alain-Yves Le Roux

Publication date: 1981

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

Full work available at URL: https://doi.org/10.2307/2007728

zbMATH Keywords

Riemann invariantsshock curvesLax- Friedrichs schemequasi-linear wave equationsupstreaming scheme

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for nonlinear first-order PDEs (35F25)

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On a two-dimensional Riemann problem for hyperbolic system of nonlinear conservation laws

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