A note on Richardson extrapolation of Galerkin methods for eigenvalue problems of Fredholm integral equations
文献类型：期刊论文
| 作者 | Huang, Qiumei1; Yang, Yidu2 |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2008-07-01 |
| 卷号 | 26期号:4页码:598-612 |
| 关键词 | Fredholm integral equations semi-simple eigenvalues asymptotic expansion Galerkin method Richardson extrapolation Sloan iteration |
| ISSN号 | 0254-9409 |
| 英文摘要 | In this paper, we introduce a new extrapolation formula by combining Richardson extrapolation and Sloan iteration algorithms. Using this extrapolation formula, we obtain some asymptotic expansions of the Galerkin finite element method for semi-simple eigenvalue problems of Fredholm integral equations of the second kind and improve the accuracy of the numerical approximations of the corresponding eigenvalues. Some numerical experiments are carried out to demonstrate the effectiveness of our new method and to confirm our theoretical results. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000257692300007 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6919]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Huang, Qiumei |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China 2.Guizhou Normal Univ, Sch Math & Comp Sci, Guiyang 550001, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Qiumei,Yang, Yidu. A note on Richardson extrapolation of Galerkin methods for eigenvalue problems of Fredholm integral equations[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2008,26(4):598-612. |
| APA | Huang, Qiumei,&Yang, Yidu.(2008).A note on Richardson extrapolation of Galerkin methods for eigenvalue problems of Fredholm integral equations.JOURNAL OF COMPUTATIONAL MATHEMATICS,26(4),598-612. |
| MLA | Huang, Qiumei,et al."A note on Richardson extrapolation of Galerkin methods for eigenvalue problems of Fredholm integral equations".JOURNAL OF COMPUTATIONAL MATHEMATICS 26.4(2008):598-612. |
入库方式： OAI收割
来源：数学与系统科学研究院
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