A \(C^ 0\)-collocation-like method for two-point boundary value problems

DOI10.1007/BF01389428zbMath0577.65068MaRDI QIDQ1065511

Zbigniew Leyk

Publication date: 1986

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133097

zbMATH Keywords

finite element methodsuperconvergencecollocationoptimal order of convergencepiecewise polynomial spaces

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

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Cites Work

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• Some Collocation-Galerkin Methods for Two-Point Boundary Value Problems
• A Collocation–Galerkin Method for the Two Point Boundary Value Problem Using Continuous Piecewise Polynomial Spaces
• A $C^0 $-Collocation-Finite Element Method for Two-Point Boundary Value Problems and One Space Dimensional Parabolic Problems
• Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation