A variational principle for adaptive approximation of ordinary differential equations
type: Item
instance of: scholarly article
title: A variational principle for adaptive approximation of ordinary differential equations
zbMATH Open document ID: 1053.65059
author: Kyoung-Sook Moon
author: Anders Szepessy
author: R. Tempone
author: Georgios E. Zouraris
published in: Numerische Mathematik
publication date: 2004-07-01T00:00:00Z
review text: The authors present an estimate for the global error in the numerical solution of an ordinary differential equation as a weighted sum of the local errors where the weights are found by solving the adjoint of the linearized equation. They also show that the estimate coincides to lowest order with several alternative estimates.
reviewed by: J. D. P. Donnelly
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 2077939
zbMATH Keywords: adaptive approximation
zbMATH Keywords: local error
zbMATH Keywords: global error
describes a project that uses: mctoolbox
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2077939