Stability analysis of numerical methods for systems of functional-differential and functional equations

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	Stability analysis of numerical methods for systems of functional-differential and functional equations
	Huang, CM ; Chang, QS
	2002-09-01
发表期刊	COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN	0898-1221
卷号	44 期号:5-6 页码:717-729
摘要	This paper is concerned with the numerical solution of functional-differential and functional equations which include functional-differential equations of neutral type as special cases. The adaptation of linear multistep methods, one-leg methods, and Runge-Kutta methods is considered. The emphasis is on the linear stability of numerical methods. It is proved that A-stable methods can inherit the asymptotic stability of underlying linear systems. Some general results of stability on explicit and implicit methods are also given. (C) 2002 Elsevier Science Ltd. All rights reserved.
关键词	hybrid systems functional-differential equations functional equations linear multistep methods one-leg methods Runge-Kutta methods numerical stability
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000177691200015
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17002
专题	中国科学院数学与系统科学研究院
通讯作者	Huang, CM
作者单位	1.Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Huang, CM,Chang, QS. Stability analysis of numerical methods for systems of functional-differential and functional equations[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2002,44(5-6):717-729.
APA	Huang, CM,&Chang, QS.(2002).Stability analysis of numerical methods for systems of functional-differential and functional equations.COMPUTERS & MATHEMATICS WITH APPLICATIONS,44(5-6),717-729.
MLA	Huang, CM,et al."Stability analysis of numerical methods for systems of functional-differential and functional equations".COMPUTERS & MATHEMATICS WITH APPLICATIONS 44.5-6(2002):717-729.