B-convergence of general linear methods for stiff problems

doi:10.1016/S0168-9274(03)00051-5

CSpace

	B-convergence of general linear methods for stiff problems
	Huang, CM ; Chang, QS ; Xiao, AG
	2003-10-01
发表期刊	APPLIED NUMERICAL MATHEMATICS
ISSN	0168-9274
卷号	47 期号:1 页码:31-44
摘要	This paper is concerned with the numerical solution of stiff initial value problems for systems of ordinary differential equations by general linear methods. We prove that algebraic stability together with strict stability at infinity implies B-convergence for strictly dissipative systems and that the order of B-convergence of a method is equal to the generalized stage order, where the generalized stage order is not less than the stage order, which extends the relevant results on Runge-Kutta methods. As applications of this result, B-convergence results of some classes of multistep Runge-Kutta methods are obtained. (C) 2003 IMACS. Published by Elsevier B.V. All rights reserved.
关键词	stiff ordinary differential equations B-convergence general linear methods multistep Runge-Kutta methods
DOI	10.1016/S0168-9274(03)00051-5
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000185390100002
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18173
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 3.Xiangtan Univ, Dept Math, Pune 411005, Maharashtra, India
推荐引用方式 GB/T 7714	Huang, CM,Chang, QS,Xiao, AG. B-convergence of general linear methods for stiff problems[J]. APPLIED NUMERICAL MATHEMATICS,2003,47(1):31-44.
APA	Huang, CM,Chang, QS,&Xiao, AG.(2003).B-convergence of general linear methods for stiff problems.APPLIED NUMERICAL MATHEMATICS,47(1),31-44.
MLA	Huang, CM,et al."B-convergence of general linear methods for stiff problems".APPLIED NUMERICAL MATHEMATICS 47.1(2003):31-44.