Continuum shock profiles for discrete conservation laws II: Stability

DOI<1047::AID-CPA1>3.0.CO;2-4 10.1002/(SICI)1097-0312(199909)52:9<1047::AID-CPA1>3.0.CO;2-4zbMath0965.35095OpenAlexW2089978282MaRDI QIDQ4267558

Shih-Hsien Yu, Tai-Ping Liu

Publication date: 5 October 1999

Full work available at URL: https://doi.org/10.1002/(sici)1097-0312(199909)52:9<1047::aid-cpa1>3.0.co;2-4

zbMATH Keywords

stability analysisdissipative difference schemesquasi-Diophantine speeds

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items

The $l^1$ global decay to discrete shocks for scalar monotone schemes, Existence and asymptotic stability of relaxation discrete shock profiles, Steady discrete shocks of high-order RBC schemes, An investigation of the internal structure of shock profiles for shock capturing schemes, Green's function pointwise estimates for the modified Lax–Friedrichs scheme

Cites Work

• On postshock oscillations due to shock capturing schemes in unsteady flows
• Asymptotic stability of discrete shock waves for the Lax-Friedrichs scheme to hyperbolic systems of conservation laws
• The effects of numerical viscosities. I: Slowly moving shocks
• Hyperbolic systems of conservation laws II
• Discrete shock profiles for systems of conservation laws
• Continuum shock profiles for discrete conservation laws I: Construction
• Newton's method and periodic solutions of nonlinear wave equations
• Pointwise convergence to shock waves for viscous conservation laws