Variable-order, variable-step methods for second-order initial-value problems
type: Item
instance of: scholarly article
title: Variable-order, variable-step methods for second-order initial-value problems
zbMATH Open document ID: 0876.65056
DOI: 10.1016/S0377-0427(96)00170-7
author: O. Diekmann
published in: Journal of Computational and Applied Mathematics
publication date: 1997-11-11T00:00:00Z
review text: A variable-order, variable-step algorithm for solving second-order initial value problems with oscillating solution is produced. This algorithm is based on second-, fourth-, sixth- and eighth-order P-stable methods developed by the authors previously. The methods are derived in order to satisfy the order and P-stability conditions. In this paper the emphasis is on the combination of second-, fourth-, sixth- and eighth-order P-stable methods in a variable-step, variable-order algorithm in such a way that computational efficiency can be obtained.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 1022223
zbMATH Keywords: second-order initial value problems
zbMATH Keywords: oscillation problems
zbMATH Keywords: variable-order variable-step algorithm
zbMATH Keywords: P-stability
reviewed by: T. E. Simos
MaRDI profile type: Publication
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full work available at URL: s0377-0427(96)00170-7
OpenAlex ID: W1992377894
description: scientific article; zbMATH DE number 1022223