Spurious caustics ofdispersion-relation-preservingschemes

DOI10.1080/00207160.2011.554538zbMath1229.65151arXiv0811.0465OpenAlexW2024893475MaRDI QIDQ3101647

Claire David, Pierre Sagaut

Publication date: 29 November 2011

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.0465

zbMATH Keywords

convergencefinite difference methodnumerical examplesBurgers equationerror boundslinear advection equationdispersion-relation preserving schemesspurious causticspolychromatic solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) First-order hyperbolic equations (35L02)

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Cites Work

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