Year: 2000
Author: Cheng-Jia Zhang, Xiao-Xin Liao
Journal of Computational Mathematics, Vol. 18 (2000), Iss. 2 : pp. 199–206
Abstract
This paper deals with the error behaviour and the stability analysis of a class of linear multistep methods with the Lagrangian interpolation (LMLMs) as applied to the nonlinear delay differential equations (DDEs). It is showtn that a LMLM is generally stable with respect to the problem of class $D_{σγ}$, and a p-order linear multistep method together with a q-order Lagrangian interpolation leads to a D-convergent LMLM of order min {$p,q+1$}.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2000-JCM-9035
Journal of Computational Mathematics, Vol. 18 (2000), Iss. 2 : pp. 199–206
Published online: 2000-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: D-Convergence Stability Multistep methods Nonlinear DDEs.