A Hamiltonian Approximation to Simulate Solitary Waves of the Korteweg-De Vries Equation

DOI10.2307/2008397zbMath0723.65100OpenAlexW4249100189MaRDI QIDQ3210816

Mingyou Huang

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2008397

zbMATH Keywords

convergencenumerical exampleerror estimatessolitary wavesfinite-elementKorteweg-de Vries equationHamiltonian approximation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Applications to the sciences (65Z05)

Related Items (4)

Fully discretized energy stable schemes for hydrodynamic equations governing two-phase viscous fluid flows ⋮ A Novel Class of Energy-Preserving Runge-Kutta Methods for the Korteweg-de Vries Equation ⋮ Energy-conserving Hamiltonian boundary value methods for the numerical solution of the Korteweg-de Vries equation ⋮ Energy conservation issues in the numerical solution of the semilinear wave equation

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