Spectral Collocation and Waveform Relaxation Methods with Gegenbauer Geconstruction for Nonlinear Conservation Laws

DOI10.2478/cmam-2005-0002zbMath1070.65100OpenAlexW1967302420MaRDI QIDQ4680001

Barbara Zubik-Kowal, Zdzisław Jackiewicz

Publication date: 31 May 2005

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/cmam-2005-0002

zbMATH Keywords

stabilitynumerical experimentsnonlinear conservation lawpseudospectral methodsspectral collocationGegenbauer reconstructionwaveform relaxation iterations

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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