A new approach to optimal B-convergence
type: Item
instance of: scholarly article
title: A new approach to optimal B-convergence
zbMATH Open document ID: 0625.65060
DOI: 10.1007/BF02253742
published in: Computing
publication date: 1987-01-01T00:00:00Z
review text: A new approach is proposed for an investigation of the B-convergence [see \textit{R. Frank}, the author and \textit{C. W. Ueberhuber}, SIAM J. Numer. Anal. 18, 753-780 (1981; Zbl 0467.65032)] of the implicit midpoint rule, the implicit trapezoidal rule and the Lobatto IIIC scheme applied to a standard vector initial value problem \(y'=f(t,y)\), \(y(0)=y_ 0\). The approach is based on considering simultaneous perturbations on all steps of the numerical procedure rather than the propagation of a sequence of individual perturbations.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 4016070
zbMATH Keywords: B-convergence
zbMATH Keywords: implicit midpoint rule
zbMATH Keywords: implicit trapezoidal rule
zbMATH Keywords: Lobatto IIIC scheme
zbMATH Keywords: simultaneous perturbations on all steps
author: Josef Schneid
reviewed by: Mihail M. Konstantinov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4016070