Runge-Kutta smoother for suppression of computational-mode instability of leapfrog scheme

DOI10.1016/0021-9991(91)90183-LzbMath0725.65108MaRDI QIDQ5919272

Akira Aoyagi, Kanji Abe

Publication date: 1991

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

zbMATH Keywords

stabilityleapfrog schemeKorteweg-de Vries equationRunge-Kutta integrationcomputational modescomputational-mode instabilityphysical modes

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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Applications to the sciences (65Z05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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