A class of high order TVD schemes for systems of conservation laws

DOI10.4171/PM/1781zbMath1125.65086OpenAlexW2018319953MaRDI QIDQ2456039

Yousef Hashem Zahran

Publication date: 17 October 2007

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/pm/1781

zbMATH Keywords

numerical examplesEuler equationsdifference schemessemidiscretizationENO schemesgas dynamicsTVD schemeessentially non-oscillatorytotal variation diminishing

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Cites Work

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• High resolution schemes for hyperbolic conservation laws
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
• Sur la stabilité des approximations implicites des lois de conservation scalaires non homogènes
• Total variation diminishing Runge-Kutta schemes

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