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The worst case complexity of the Fredholm equation of the second kind with non-periodic free term and noise information
Jiang, TZ
1998
发表期刊NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
卷号19期号:3-4页码:329-343
文章类型Article
摘要This paper deals with the complexity of the Fredholm equation Lu = f of the second kind with f epsilon W-r,W-p(Omega). The problem elements are free term f and belong to the unit ball of W-r,W-p(Omega). Available information about the problem consists of evaluations of f and is assumed to be corrupted by uniformly bounded noise. The absolute error in each noisy evaluation is at most delta. First, we give estimation of the n-th optimal radius in the worst case setting. Then, we show that a noisy finite element method with quadrature (FEMQ) has minimal error. Finally, we give the estimate of epsilon-complexity of Fredholm problem of the second kind in the worst case setting. To the best of our knowledge, this is the first work on complexity of integral equation with noisy information.
关键词Complexity Fredholm Equation Of The Second Bind Finite Element Method Finite Element Information Noise Information
WOS标题词Science & Technology ; Physical Sciences
关键词[WOS]INTEGRAL-EQUATIONS ; 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:000074022300007
引用统计
被引频次:3[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/9768
专题09年以前成果
作者单位1.Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia
2.Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100080, Peoples R China
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Jiang, TZ. The worst case complexity of the Fredholm equation of the second kind with non-periodic free term and noise information[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION,1998,19(3-4):329-343.
APA Jiang, TZ.(1998).The worst case complexity of the Fredholm equation of the second kind with non-periodic free term and noise information.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION,19(3-4),329-343.
MLA Jiang, TZ."The worst case complexity of the Fredholm equation of the second kind with non-periodic free term and noise information".NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 19.3-4(1998):329-343.
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