A Galerkin method using rational basis functions

DOI10.1016/0898-1221(89)90038-2zbMath0673.65054OpenAlexW2048259777MaRDI QIDQ1120967

Anton van Niekerk, F. D. Van Niekerk

Publication date: 1989

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(89)90038-2

zbMATH Keywords

Galerkin methodRational basis functions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (5)

An optimal rational basis function in the finite element method for convection-diffusion problems in one space variables ⋮ An explicit finite element method for convection-diffusion equations using rational basis functions ⋮ A Galerkin method with rational basis functions for Burgers equation ⋮ A Hermite rational approximation method for the Korteweg-de Vries equation ⋮ A rational basis for second-kind Abel integral equations

Cites Work

• Unnamed Item
• Non-linear one-step methods for initial value problems
• Predictor-corrector formulas based on rational interpolants
• Iterated defect correction for the efficient solution of stiff systems of ordinary differential equations

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