Local oscillations in finite difference solutions of hyperbolic conservation laws

DOI10.1090/S0025-5718-09-02219-4zbMath1198.65169OpenAlexW2044283205MaRDI QIDQ3055186

Lumei Zhang, Jiequan Li, Gerald Warnecke, Hua-Zhong Tang

Publication date: 7 November 2010

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-09-02219-4

zbMATH Keywords

finite difference schemesoscillationsdiscrete Fourier analysisnumerical viscositynumerical dampingmodified equation analysischequerboard modeshigh and low frequency modesrelative phase error

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for discrete and fast Fourier transforms (65T50) First-order hyperbolic systems (35L40)

Related Items (7)

The von Neumann analysis and modified equation approach for finite difference schemes ⋮ An analysis on induced numerical oscillations by Lax-Friedrichs scheme ⋮ Interaction of delta shock waves for a nonsymmetric Keyfitz-Kranzer system of conservation laws ⋮ An investigation on three point explicit schemes and induced numerical oscillations ⋮ High order modified differential equation of the Beam-Warming method. I. The dispersive features ⋮ On the range diminishing property of numerical schemes for scalar conservation laws ⋮ High order modified differential equation of the beam-warming method. II: The dissipative features

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• A note on (2K+1)-point conservative monotone schemes
• The correct use of the Lax–Friedrichs method
• Systems of conservation laws
• An analysis of the influence of data extrema on some first and second order central approximations of hyperbolic conservation laws

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