COLLOCATION METHODS FOR GENERAL VOLTERRA FUNCTIONAL INTEGRAL EQUATIONS WITH VANISHING DELAYS

doi:10.1137/100818595

	COLLOCATION METHODS FOR GENERAL VOLTERRA FUNCTIONAL INTEGRAL EQUATIONS WITH VANISHING DELAYS
	Xie, Hehu1,2 ; Zhang, Ran 3; Brunner, Hermann 4,5
	2011
发表期刊	SIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN	1064-8275
卷号	33 期号:6 页码:3303-3332
摘要	We analyze the existence, uniqueness, and regularity properties of solutions for general Volterra functional integral equations with the delay function theta(t) vanishing at the initial point of the given interval [0, T] (with theta(t) = qt, 0 < q < 1, representing an important special case). The focus of the paper is then on the the attainable order of convergence, and the question of possible superconvergence, for collocation solutions in certain piecewise polynomial spaces. Numerical experiments complement the theoretical convergence results.
关键词	Volterra functional integral equations vanishing delays pantograph-type delays existence and regularity of solutions collocation solutions optimal order of convergence
DOI	10.1137/100818595
语种	英语
资助项目	National Science Foundation of China (NSFC)[10801062] ; National Science Foundation of China (NSFC)[11001259] ; National Science Foundation of China (NSFC)[11071102] ; Jilin University ; Natural Sciences and Engineering Research Council of Canada (NSERC)[9406] ; Hong Kong Research Grants Council[HKBU 200207]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000298370000011
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12316
专题	计算数学与科学工程计算研究所
通讯作者	Xie, Hehu
作者单位	1.Chinese Acad Sci, LSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Jilin Univ, Sch Math, Changchun 130012, Peoples R China 4.Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada 5.Hong Kong Baptist Univ, Dept Math, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Xie, Hehu,Zhang, Ran,Brunner, Hermann. COLLOCATION METHODS FOR GENERAL VOLTERRA FUNCTIONAL INTEGRAL EQUATIONS WITH VANISHING DELAYS[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2011,33(6):3303-3332.
APA	Xie, Hehu,Zhang, Ran,&Brunner, Hermann.(2011).COLLOCATION METHODS FOR GENERAL VOLTERRA FUNCTIONAL INTEGRAL EQUATIONS WITH VANISHING DELAYS.SIAM JOURNAL ON SCIENTIFIC COMPUTING,33(6),3303-3332.
MLA	Xie, Hehu,et al."COLLOCATION METHODS FOR GENERAL VOLTERRA FUNCTIONAL INTEGRAL EQUATIONS WITH VANISHING DELAYS".SIAM JOURNAL ON SCIENTIFIC COMPUTING 33.6(2011):3303-3332.