A variable-stepsize variable-order multistep method for the integration of perturbed linear problems
type: Item
instance of: scholarly article
title: A variable-stepsize variable-order multistep method for the integration of perturbed linear problems
zbMATH Open document ID: 1001.65083
DOI: 10.1016/S0168-9274(01)00156-8
author: Pablo Martín
author: Amelia García
author: David J. López
published in: Applied Numerical Mathematics
publication date: 2002-08-22T00:00:00Z
review text: The authors describe an extension to the variable stepsize case of their previous algorithm [\textit{D. J. López} and \textit{P. Martin}, Appl. Math. Comput. 96, No. 1, 65-73 (1998; Zbl 0943.65083)]. The main idea is to extend the Krogh techniques from Adams methods to the aforementioned algorithm. Adams variable steplength algorithm and two other methods are obtained as particular cases. The numerical examples show the advantages of the new code in the integration of perturbated linear problems.
reviewed by: Dana Petcu
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L50
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65L05
zbMATH DE Number: 1787737
zbMATH Keywords: perturbed linear problems
zbMATH Keywords: multistep methods
zbMATH Keywords: variable stepsize
zbMATH Keywords: Adams methods
zbMATH Keywords: algorithm
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1787737