Construction of general linear methods with Runge-Kutta stability properties
type: Item
instance of: scholarly article
title: Construction of general linear methods with Runge-Kutta stability properties
zbMATH Open document ID: 1055.65083
DOI: 10.1023/B:NUMA.0000027738.54515.50
published in: Numerical Algorithms
publication date: 2004-08-06T00:00:00Z
review text: The authors construct explicit general linear methods of order \(p\) and stage order \(q= p\) with \(s= p= 1\) stages achieving a good balance between accuracy and stability. Conditions are imposed to ensure the stability matrix has only one nonzero eigenvalue. Examples of various stability regions are given.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 2081594
zbMATH Keywords: general linear methods
zbMATH Keywords: Nordsieck representation
zbMATH Keywords: inherent Runge-Kutta stability
zbMATH Keywords: numerical examples
author: J. C. Butcher
author: Zdzislaw Jackiewicz
reviewed by: J. D. P. Donnelly
MaRDI profile type: Publication
full work available at URL: b:numa.0000027738.54515.50
OpenAlex ID: W2025248049
description: scientific article; zbMATH DE number 2081594