One step integration methods of third-fourth order accuracy with large hyperbolic stability limits
type: Item
instance of: scholarly article
title: One step integration methods of third-fourth order accuracy with large hyperbolic stability limits
zbMATH Open document ID: 0539.65051
DOI: 10.1016/0378-4754(84)90056-9
author: Ingemar P. E. Kinnmark
author: William G. Gray
published in: Mathematics and Computers in Simulation
publication date: 1984-01-01T00:00:00Z
review text: A class of stability polynomials of K-stage methods is given for which the interval of stability on the imaginary axis is \(\sqrt{(K-1)^ 2-1}\). For K odd, \(K\geq 3\), the order of accuracy is 3 while for K even, \(K\geq 4\), it is 4.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 3858326
zbMATH Keywords: one-step methods
zbMATH Keywords: maximal stability interval
reviewed by: Rolf Jeltsch
MaRDI profile type: Publication
full work available at URL: 0378-4754(84)90056-9
OpenAlex ID: W2009700688
cites work: Q3661894
cites work: One step integration methods with maximum stability regions
cites work: New stability theorems concerning one-step numerical methods for ordinary differential equations
description: scientific article; zbMATH DE number 3858326