CENTERED DIFFERENCE SCHEMES FOR NONLINEAR HYPERBOLIC EQUATIONS

DOI10.1142/S0219891604000202zbMath1063.65076WikidataQ57386500 ScholiaQ57386500MaRDI QIDQ4657747

Eleuterio F. Toro, Gui-Qiang G. Chen

Publication date: 14 March 2005

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

zbMATH Keywords

stabilityconvergenceshallow water equationsEuler equationserror boundLax-Friedrichs schemenonlinear hyperbolic equationsnumerical viscosityexplicit methodsLax entropy inequalityFORCE schemecentered difference scheme

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) 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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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