Stability of finite difference schemes for hyperbolic initial boundary value problems II

DOI10.2422/2036-2145.2011.1.03zbMath1225.65089OpenAlexW4294910931MaRDI QIDQ3006311

Jean-François Coulombel

Publication date: 10 June 2011

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2422/2036-2145.2011.1.03

zbMATH Keywords

numerical examplesdifference schemestransport equationstrong stabilityinitial boundary value problemfirst order hyperbolic systemKreiss symmetrizersKreiss-Lopatinskii conditiondiscrete block structuredissipation index

Mathematics Subject Classification ID

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) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (6)

Stability of finite difference schemes approximation for hyperbolic boundary value problems in an interval ⋮ WKB EXPANSIONS FOR HYPERBOLIC BOUNDARY VALUE PROBLEMS IN A STRIP: SELFINTERACTION MEETS STRONG WELL-POSEDNESS ⋮ Lower exponential strong well-posedness of hyperbolic boundary value problems in a strip ⋮ Fully discrete hyperbolic initial boundary value problems with nonzero initial data ⋮ The Number of Boundary Conditions for Initial Boundary Value Problems ⋮ Transparent numerical boundary conditions for evolution equations: Derivation and stability analysis

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