Richardson extrapolation in boundary value problems for differential equations with nonregular right-hand side
type: Item
instance of: scholarly article
title: Richardson extrapolation in boundary value problems for differential equations with nonregular right-hand side
zbMATH Open document ID: 0806.65079
DOI: 10.1016/0377-0427(94)90315-8
author: Pedro M. Lima
published in: Journal of Computational and Applied Mathematics
publication date: 1994-09-22T00:00:00Z
review text: This is a very interesting paper that considers the problem of the accuracy of Richardson's extrapolation method for boundary value problems in situations where it seems to be more accurate than the theoretical prediction. This arises when we have only piecewise continuity of the functions rather than functions that have continuity properties throughout the interval considered. The usual theorems are generalized to deal with this situation. Some numerical examples are given.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65B05
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 643770
zbMATH Keywords: differential equations with nonregular right-hand side
zbMATH Keywords: Richardson's extrapolation
zbMATH Keywords: numerical examples
reviewed by: Brian L. Burrows
MaRDI profile type: Publication
full work available at URL: 0377-0427(94)90315-8
OpenAlex ID: W2016612380
cites work: Q4037198
cites work: Q3323133
cites work: Q4772602
cites work: Romberg integration for a class of singular integrands
cites work: Numerical Quadrature and Asymptotic Expansions
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description: scientific article; zbMATH DE number 643770