Time behaviour of the error when simulating finite-band periodic waves. The case of the KdV equation

DOI10.1016/j.jcp.2007.10.016zbMath1144.65061OpenAlexW2087044063MaRDI QIDQ2476876

A. Durán

Publication date: 12 March 2008

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2007.10.016

zbMATH Keywords

numerical experimentsKorteweg-de Vries equationconserved quantitiescnoidal wavesgeometric numerical integrationfinite-band solutionsasymptotic expansion of the global error

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) 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)

Related Items

Error propagation when approximating multi-solitons: The KdV equation as a case study, A numerical scheme for periodic travelling-wave simulations in some nonlinear dispersive wave models, Simulation of coherent structures in nonlinear Schrödinger-type equations, On the rate of error growth in time for numerical solutions of nonlinear dispersive wave equations

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