Richardson extrapolation of iterated discrete projection methods for eigenvalue approximation
文献类型：期刊论文
| 作者 | Chen, Zhongying2; Long, Guangqing1,3; Nelakanti, Gnaneshwar4 |
| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2009 |
| 卷号 | 223期号:1页码:48-61 |
| 关键词 | Eigenvalue approximation Iterated discrete projection methods Richardson extrapolation |
| ISSN号 | 0377-0427 |
| DOI | 10.1016/j.cam.2007.12.019 |
| 英文摘要 | In this paper. the eigenvalue approximation of a compact integral operator with it smooth kernel is discussed. We propose asymptotic error expansions of the iterated discrete Galerkin and iterated discrete collocation methods, and asymptotic error expansion of approximate eigenvalues. We then apply Richardson extrapolation to obtain higher order super-convergenee of eigenvalue approximations. Numerical examples are presented to illustrate the theoretical estimate. (C) 2007 Elsevier B.V. All rights reserved. |
| 资助项目 | Natural Science Foundation of China[10771224] ; Natural Science Foundation of China[10371137] ; Foundation of Doctoral Program of National Higher Education of China[20030558008] ; Guangdong Provincial Natural Science Foundation of China[05003308] ; Guangxi Provincial Natural Science Foundation of China[0728044] ; Foundation of Education Department of Guangxi Province. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000261041100005 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8721]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Long, Guangqing |
| 作者单位 | 1.Guangxi Normal Coll, Dept Math, Nanning 530001, Peoples R China 2.Sun Yat Sen Univ, Dept Sci Comp & Comp Applicat, Guangzhou 510275, Guangdong, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 4.Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India |
| 推荐引用方式 GB/T 7714 | Chen, Zhongying,Long, Guangqing,Nelakanti, Gnaneshwar. Richardson extrapolation of iterated discrete projection methods for eigenvalue approximation[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2009,223(1):48-61. |
| APA | Chen, Zhongying,Long, Guangqing,&Nelakanti, Gnaneshwar.(2009).Richardson extrapolation of iterated discrete projection methods for eigenvalue approximation.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,223(1),48-61. |
| MLA | Chen, Zhongying,et al."Richardson extrapolation of iterated discrete projection methods for eigenvalue approximation".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 223.1(2009):48-61. |
入库方式： OAI收割
来源：数学与系统科学研究院
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