Some Collocation-Galerkin Methods for Two-Point Boundary Value Problems

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1976 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 13, pages 720-733 (issn: 0036-1429, eissn: 1095-7170,

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Authors: Dunn, Roderick J. jun.; Wheeler, Mary Fanett;

doi: 10.1137/0713059

Some Collocation-Galerkin Methods for Two-Point Boundary Value Problems

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Abstract

A family of discontinuous and simply continuous collocation–Galerkin methods corresponding to the $H^{ - 1} $ methods of Rachford and Wheeler is defined. $L_p $-estimates optimal in local step size and norm on solution are obtained, and local quadratures giving accuracy of higher order are developed.

Keywords

Numerical solution of boundary value problems involving ordinary differential equations

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