Dissipativity of multistep Runge-Kutta methods for dynamical systems with delays

doi:10.1016/j.mcm.2005.01.019

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	Dissipativity of multistep Runge-Kutta methods for dynamical systems with delays
	Huang, CM ; Chang, QS
	2004-12-01
发表期刊	MATHEMATICAL AND COMPUTER MODELLING
ISSN	0895-7177
卷号	40 期号:11-12 页码:1285-1296
摘要	This paper is concerned with the numerical solution of dissipative initial value problems with delays by multistep Runge-Kutta methods. We investigate the dissipativity properties of (k, l)-algebraically stable multistep Runge-Kutta methods with constrained grid and linear interpolation procedure. In particular, it is proved that an algebraically stable, irreducible multistep Runge-Kutta method is dissipative for finite-dimensional dynamical systems with delays, which extends and unifies some extant results. In addition, we obtain dissipativity results of A-stable linear multistep methods by using the relationship between one-leg methods and linear multistep methods. (C) 2005 Elsevier Ltd. All rights reserved.
关键词	dynamical systems delays multistep Runge-Kutta methods linear multistep methods dissipativity
DOI	10.1016/j.mcm.2005.01.019
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000227418700011
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/672
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. Dissipativity of multistep Runge-Kutta methods for dynamical systems with delays[J]. MATHEMATICAL AND COMPUTER MODELLING,2004,40(11-12):1285-1296.
APA	Huang, CM,&Chang, QS.(2004).Dissipativity of multistep Runge-Kutta methods for dynamical systems with delays.MATHEMATICAL AND COMPUTER MODELLING,40(11-12),1285-1296.
MLA	Huang, CM,et al."Dissipativity of multistep Runge-Kutta methods for dynamical systems with delays".MATHEMATICAL AND COMPUTER MODELLING 40.11-12(2004):1285-1296.