CSpace
 Fast collocation methods for second kind integral equations Chen, ZY; Micchelli, CA; Xu, YS 2002-05-10 Source Publication SIAM JOURNAL ON NUMERICAL ANALYSIS ISSN 0036-1429 Volume 40Issue:1Pages:344-375 Abstract 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. Keyword fast collocation methods Fredholm integral equations of the second kind refinable sets multiscale interpolation Language 英语 WOS Research Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000175899900017 Publisher SIAM PUBLICATIONS Citation statistics Cited Times:67[WOS]   [WOS Record]     [Related Records in WOS] Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/17769 Collection 中国科学院数学与系统科学研究院 Affiliation 1.Zhongshan Univ, Dept Sci Comp & Comp Applicat, Guangzhou 510275, Peoples R China2.SUNY Albany, Dept Math & Stat, Albany, NY 12222 USA3.W Virginia Univ, Dept Math, Morgantown, WV 26506 USA4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China Recommended CitationGB/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.
 Files in This Item: There are no files associated with this item.
 Related Services Recommend this item Bookmark Usage statistics Export to Endnote Google Scholar Similar articles in Google Scholar [Chen, ZY]'s Articles [Micchelli, CA]'s Articles [Xu, YS]'s Articles Baidu academic Similar articles in Baidu academic [Chen, ZY]'s Articles [Micchelli, CA]'s Articles [Xu, YS]'s Articles Bing Scholar Similar articles in Bing Scholar [Chen, ZY]'s Articles [Micchelli, CA]'s Articles [Xu, YS]'s Articles Terms of Use No data! Social Bookmark/Share