A Conservative Finite Element Method for the Korteweg-de Vries Equation

DOI10.2307/2006219zbMath0422.65063OpenAlexW4253532594MaRDI QIDQ3856076

Ragnar Winther

Publication date: 1980

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2006219

zbMATH Keywords

finite element methodKorteweg-de Vries equationsemidiscrete methodtwelve point finite difference schemesunconditionally stable fully discrete methods

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for boundary value problems involving PDEs (65N06) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05)

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