A posteriori Error Bounds for Approximate Solutions of Linear Second-order Ordinary Differential Equations

1 June 1972

journal article
Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics

Vol. 9 (3) , 323-349
https://doi.org/10.1093/imamat/9.3.323

Abstract

A posteriori error bounds for approximate solutions of a large class of linear second-order ordinary differential equations with a variety of boundary conditions are developed. Several numerical examples using Rayleigh-Ritz approximants are presented.

Keywords

POSTERIORI ERROR
DIFFERENTIAL EQUATIONS
BOUNDARY CONDITIONS
USING RAYLEIGH
RAYLEIGH RITZ
LINEAR SECOND
RITZ APPROXIMANTS
ERROR BOUNDS

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