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

DOI10.1016/0021-9991(91)90183-LzbMath1415.65158MaRDI QIDQ5918154

Akira Aoyagi, Kanji Abe

Publication date: 28 June 2019

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

zbMATH Keywords

linear stabilityleapfrog schemeKorteweg-de Vries equationlong-time integrationRunge-Kutta smoother

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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

• Focusing: A mechanism for instability of nonlinear finite difference equations
• On nonlinear instabilities in leap-frog finite difference schemes
• Parametric excitation of computational modes inherent to leap-frog scheme applied to the Korteweg-de Vries equation
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• On the Instability of Leap-Frog and Crank-Nicolson Approximations of a Nonlinear Partial Differential Equation

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