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The worst case complexity of the Fredholm equation with periodic free term and noisy information
Jiang, TZ; Evans, DJ
1999
发表期刊INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
卷号73期号:1页码:1-14
文章类型Article
摘要This paper deals with the complexity of the Fredholm equation La = f of the second kind with f is an element of H'(Gamma) in a periodic setting. The problem elements are free term f and belong to the unit ball of H'(Gamma). Available information about the problem element f is assumed to be corrupted by bounded noise. First, we give the order of the n-the optimal radius in the worst case setting. Then, we show that the Galerkin method using 2n + 1 inner products off has minimal error. Finally, we give the estimate of E-complexity of the Fredholm integral equation of the second kind and the Galerkin method in the worst case setting.
关键词Worst Case Complexity Fredholm Equation Galerkin Method Galerkin Information Noisy Information
WOS标题词Science & Technology ; Physical Sciences
关键词[WOS]ELLIPTIC PROBLEMS ; 2ND KIND
收录类别SCI
语种英语
WOS研究方向Mathematics
WOS类目Mathematics, Applied
WOS记录号WOS:000088131200001
引用统计
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/9787
专题09年以前成果
作者单位1.Max Planck Inst Cognit Neurosci, Signal & Image Proc Grp, D-04103 Leipzig, Germany
2.Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100080, Peoples R China
3.Nottingham Trent Univ, Dept Comp, Nottingham NG1 4BU, England
推荐引用方式
GB/T 7714
Jiang, TZ,Evans, DJ. The worst case complexity of the Fredholm equation with periodic free term and noisy information[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,1999,73(1):1-14.
APA Jiang, TZ,&Evans, DJ.(1999).The worst case complexity of the Fredholm equation with periodic free term and noisy information.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,73(1),1-14.
MLA Jiang, TZ,et al."The worst case complexity of the Fredholm equation with periodic free term and noisy information".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 73.1(1999):1-14.
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