On Optimal High-Order in Time Approximations for the Korteweg-De Vries Equation

DOI10.2307/2008429zbMath0725.65107OpenAlexW4241557555MaRDI QIDQ5203623

William R. McKinney, Ohannes A. Karakashian

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2008429

zbMATH Keywords

periodic solutionsfinite elementimplicit Runge-Kutta methodKorteweg-de Vries equationstiff problemstruncation errororder reductionGauss and Radau IIA methods

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Applications to the sciences (65Z05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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