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Fast collocation methods for second kind integral equations
Chen, ZY; Micchelli, CA; Xu, YS
2002-05-10
Source PublicationSIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN0036-1429
Volume40Issue:1Pages:344-375
AbstractIn 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.
Keywordfast collocation methods Fredholm integral equations of the second kind refinable sets multiscale interpolation
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000175899900017
PublisherSIAM PUBLICATIONS
Citation statistics
Cited Times:67[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17769
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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