Fast collocation methods for second kind integral equations

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	Fast collocation methods for second kind integral equations
	Chen, ZY ; Micchelli, CA ; Xu, YS
	2002-05-10
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	40 期号:1 页码:344-375
摘要	In this paper we develop fast collocation methods for integral equations of the second kind with weakly singular kernels. For this purpose, we construct multiscale interpolating functions and collocation functionals having vanishing moments. Moreover, we propose a truncation strategy for the coefficient matrix of the corresponding discrete system which forms a basis for fast algorithms. An optimal order of convergence of the approximate solutions obtained from the fast algorithms is proved and the computational complexity of the algorithms is estimated. The stability of the numerical method and the condition number of the truncated coefficient matrix are analyzed.
关键词	fast collocation methods Fredholm integral equations of the second kind refinable sets multiscale interpolation
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000175899900017
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/17769
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, ZY
作者单位	1.Zhongshan Univ, Dept Sci Comp & Comp Applicat, Guangzhou 510275, Peoples R China 2.SUNY Albany, Dept Math & Stat, Albany, NY 12222 USA 3.W Virginia Univ, Dept Math, Morgantown, WV 26506 USA 4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, ZY,Micchelli, CA,Xu, YS. Fast collocation methods for second kind integral equations[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2002,40(1):344-375.
APA	Chen, ZY,Micchelli, CA,&Xu, YS.(2002).Fast collocation methods for second kind integral equations.SIAM JOURNAL ON NUMERICAL ANALYSIS,40(1),344-375.
MLA	Chen, ZY,et al."Fast collocation methods for second kind integral equations".SIAM JOURNAL ON NUMERICAL ANALYSIS 40.1(2002):344-375.