Error propagation when approximating multi-solitons: The KdV equation as a case study
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Publication:609295
DOI10.1016/j.amc.2009.06.033zbMath1203.65162OpenAlexW2051923885MaRDI QIDQ609295
Publication date: 30 November 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.06.033
error estimatessolitary wavesnumerical examplesRunge-Kutta methodsemidiscretizationgeometric integrationconserved quantitiesmulti-solitonsconservative numerical methodsKorteweg-de Vries (Kdv) equation
KdV equations (Korteweg-de Vries equations) (35Q53) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Soliton equations (35Q51) 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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