Numerical boundary layers of conservation laws with relaxation extension

DOI10.1016/j.apnum.2004.03.004zbMath1081.65088OpenAlexW1999696615MaRDI QIDQ1886279

Mao Ye

Publication date: 18 November 2004

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2004.03.004

zbMATH Keywords

conservation lawsfinite difference schemenonlinear stabilityDirichlet boundary conditionNeumann boundary conditionJin-Xin relaxationnumerical boundary layer

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)

Cites Work

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• Hyperbolic conservation laws with stiff relaxation terms and entropy
• Convergence of relaxation schemes for conservation laws
• Initial-boundary value problem to systems of conservation laws with relaxation
• Nonlinear stability of shock waves for viscous conservation laws
• Existence and asymptotic stability of relaxation discrete shock profiles
• The relaxation schemes for systems of conservation laws in arbitrary space dimensions
• Convergence rates to the discrete travelling wave for relaxation schemes

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