Year: 2002
Author: Yi-Fa Tang
Journal of Computational Mathematics, Vol. 20 (2002), Iss. 2 : pp. 185–196
Abstract
We expand the step-transition operator of any linear multi-step method with order $s \ge 2 \ {\rm up} \ {\rm to} \ O({\tau^{s+5}})$. And through examples we show how much the perturbation of the step-transition operator caused by the error of initial value is.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2002-JCM-8909
Journal of Computational Mathematics, Vol. 20 (2002), Iss. 2 : pp. 185–196
Published online: 2002-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Multi-step method Step-transition operator Expansion.