Order stars and stiff integrators
type: Item
instance of: scholarly article
title: Order stars and stiff integrators
zbMATH Open document ID: 0988.65059
DOI: 10.1016/S0377-0427(00)00461-1
author: Ernst Hairer
author: G. Wanner
published in: Journal of Computational and Applied Mathematics
publication date: 2002-07-14T00:00:00Z
review text: The order star diagram devised by \textit{G. Wanner, E. Hairer}, and \textit{S. P. Nørsett} [BIT 18, 475-489 (1978; Zbl 0444.65039)] is useful in the study of stability of discrete numerical algorithms especially \(A\)-stability of implicit Runge-Kutta methods. The authors describe the diagram in detail and discuss its many past and ongoing applications.
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 1566005
zbMATH Keywords: stiff system
zbMATH Keywords: order star diagram
zbMATH Keywords: stability
zbMATH Keywords: \(A\)-stability
zbMATH Keywords: implicit Runge-Kutta methods
reviewed by: John B. Butler jun.
describes a project that uses: RODAS
describes a project that uses: RADAU
MaRDI profile type: Publication
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full work available at URL: s0377-0427(00)00461-1
OpenAlex ID: W2086371447
description: scientific article; zbMATH DE number 1566005