The worst case complexity of the Fredholm equation with periodic free term and noisy information
文献类型：期刊论文
| 作者 | Jiang, TZ ; Evans, DJ
|
| 刊名 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
 |
| 出版日期 | 1999 |
| 卷号 | 73期号:1页码:1-14 |
| 关键词 | worst case complexity Fredholm equation Galerkin method Galerkin information noisy information |
| 英文摘要 | 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. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | ELLIPTIC PROBLEMS ; 2ND KIND |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000088131200001 |
| 公开日期 | 2015-12-24 |
| 源URL | [http://ir.ia.ac.cn/handle/173211/9787]  |
| 专题 | 自动化研究所_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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