Year: 2022
Author: Yuhao Cong, Shouyan Wu
Journal of Computational Mathematics, Vol. 40 (2022), Iss. 3 : pp. 484–498
Abstract
This paper considers the asymptotic stability of linear multistep (LM) methods for neutral systems with distributed delays. In particular, several sufficient conditions for delay-dependent stability of numerical solutions are obtained based on the argument principle. Compound quadrature formulae are used to compute the integrals. An algorithm is proposed to examine the delay-dependent stability of numerical solutions. Several numerical examples are performed to verify the theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2011-m2018-0241
Journal of Computational Mathematics, Vol. 40 (2022), Iss. 3 : pp. 484–498
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Neutral systems with distributed delays Linear multistep methods Delay-dependent stability Argument principle.