Non-separable splines and numerical computation of evolution equations by the Galerkin methods

DOI10.1016/j.cam.2008.01.004zbMath1159.65082OpenAlexW1967965359MaRDI QIDQ953381

Toshihide Ueno, Masami Okada

Publication date: 20 November 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.01.004

zbMATH Keywords

Galerkin methodnumerical experimentsBurgers equationmethod of linestensor product splinesRunge-Kutta methodKadomtsev-Petviashvili equationmoment conditionCoifman scaling functionnon-separable splinesStrang-Fix condition

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) First-order nonlinear hyperbolic equations (35L60) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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