Error control for initial value problems with discontinuities and delays
type: Item
instance of: scholarly article
title: Error control for initial value problems with discontinuities and delays
zbMATH Open document ID: 0781.65061
DOI: 10.1016/0168-9274(93)90007-E
author: Desmond J. Higham
published in: Applied Numerical Mathematics
publication date: 1993-10-10T00:00:00Z
review text: The analysis of the error in numerical approximation is extended to a certain class of ordinary differential equation initial value problems with low-order derivative discontinuities and to the class of ordinary differential equations with constant delays. It is shown that standard error control techniques will be successful if discontinuities are handled correctly and delay terms are calculated with sufficiently accurate interpolants. The obtained theoretical results are illustrated numerically.
reviewed by: Karel Najzar
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 34K05
zbMATH DE Number: 428543
zbMATH Keywords: local error
zbMATH Keywords: global error
zbMATH Keywords: Runge-Kutta method
zbMATH Keywords: numerical example
zbMATH Keywords: initial value problems
zbMATH Keywords: discontinuities
zbMATH Keywords: delays
zbMATH Keywords: error control
describes a project that uses: NSDTST
describes a project that uses: STDTST
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 428543