Derivative instability of some schemes for the Korteweg-de Vries equation
DOI10.1016/S1007-5704(98)90075-2zbMath0921.65067OpenAlexW2081580058MaRDI QIDQ1288378
Publication date: 16 September 1999
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s1007-5704(98)90075-2
KdV equationnumerical instabilityKorteweg-de Vries equationconserved quantityimplicit difference scheme
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)
Cites Work
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- 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
- Some results on the stability and dynamics of finite difference approximations to nonlinear partial differential equations
- Finite Amplitude Instabilities of Partial Difference Equations
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