On the equivalence of BS-stability and B-consistency
type: Item
instance of: scholarly article
title: On the equivalence of BS-stability and B-consistency
zbMATH Open document ID: 0681.65063
DOI: 10.1007/BF02219235
published in: BIT
publication date: 1989-01-01T00:00:00Z
review text: For the study of B-convergence of implicit Runge-Kutta methods (see \textit{R. Frank}, the second author and \textit{C. W. Ueberhuber} [SIAM J. Numer. Anal. 18, 753-780 (1981; Zbl 0467.65032)]) the concepts of BS-stability and B-consistency have been introduced. The present article proves that both concepts are equivalent for initial value problems with a one-sided Lipschitz constant \(m\geq 0\).
reviewed by: Ernst Hairer
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 4115872
zbMATH Keywords: stiff initial value problems
zbMATH Keywords: B-convergence
zbMATH Keywords: implicit Runge-Kutta methods
zbMATH Keywords: BS-stability
zbMATH Keywords: B-consistency
author: Willem Hundsdorfer
author: Josef Schneid
MaRDI profile type: Publication
cites work: Q5515694
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description: scientific article; zbMATH DE number 4115872