Optimal Error Estimates of the Legendre--Petrov--Galerkin Method for the Korteweg--de Vries Equation
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Publication:4539376
DOI10.1137/S0036142900378327zbMath1008.65070MaRDI QIDQ4539376
Publication date: 8 July 2002
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
error estimatessemidiscretizationpseudospectral methodsKorteweg-de Vries equationLegendre spectral methodLegendre-Petrov-Galerkin method
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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
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