Algebraic characterization of \(A\)-stable Runge-Kutta methods
type: Item
instance of: scholarly article
title: Algebraic characterization of \(A\)-stable Runge-Kutta methods
zbMATH Open document ID: 0671.65074
DOI: 10.1016/0168-9274(89)90029-9
author: H. Türke
author: Rudolf Scherer
published in: Applied Numerical Mathematics
publication date: 1989-01-01T00:00:00Z
review text: The authors obtain an algebraic characterization of \(A\)-stable Runge-Kutta methods similar to that of \(B\)-stable methods. Their results gives the information about the gap between the set of \(A\)- and \(B\)-stable Runge-Kutta methods. They consider several examples to illustrate their results.
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 4098660
zbMATH Keywords: \(W\)-transformation
zbMATH Keywords: \(A\)-stability
zbMATH Keywords: \(A\)-stable methods
zbMATH Keywords: \(B\)-stability
zbMATH Keywords: numerical examples
zbMATH Keywords: algebraic characterization
zbMATH Keywords: Runge-Kutta methods
MaRDI profile type: Publication
full work available at URL: 0168-9274(89)90029-9
OpenAlex ID: W2026347555
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description: scientific article; zbMATH DE number 4098660