THE APPARENT NUMERICAL STABILITY OF UNPHYSICAL SHOCKS

DOI10.1108/EB010027zbMath0628.65074OpenAlexW2093965550MaRDI QIDQ3765150

Michael Sever

Publication date: 1986

Published in: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/eb010027

zbMATH Keywords

weak solutionsenergy inequalityapparent numerical stability of unphysical shocksnonlinear, hyperbolic systems of conservation laws

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)

Cites Work

• Some higher order difference schemes enforcing an entropy inequality
• Discrete shocks and genuine nonlinearity
• Systems of conservation laws of mixed type
• Hyperbolic systems of conservation laws II
• On finite-difference approximations and entropy conditions for shocks
• Systems of Conservation Equations with a Convex Extension

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