Superconvergence of the composite Simpson's rule for a certain finite-part integral and its applications
文献类型：期刊论文
| 作者 | Zhang, Xiaoping1; Wu, Jiming2; Yu, Dehao1 |
| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2009-01-15 |
| 卷号 | 223期号:2页码:598-613 |
| 关键词 | Finite-part integral Finite-part integral equation Composite Simpson's rule Superconvergence |
| ISSN号 | 0377-0427 |
| DOI | 10.1016/j.cam.2008.02.001 |
| 英文摘要 | The superconvergence phenomenon of the composite Simpson's rule for the finite-part integral with a third-order singularity is studied. The superconvergence points are located and the superconvergence estimate is obtained. Some applications of the superconvergence result, including the evaluation of the finite-part integrals and the solution of a certain finite-part integral equation, are also discussed and two algorithms are suggested. Numerical experiments are presented to confirm the superconvergence analysis and to show the efficiency of the algorithms. (C) 2008 Elsevier B.V. All rights reserved. |
| 资助项目 | National Basic Research Program of China[2005CB321701] ; National Natural Science Foundation of China[10531080] ; National Natural Science Foundation of China[10671025] ; Natural Science Foundation of Beijing[1072009] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000261898900008 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8794]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, Xiaoping |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100080, Peoples R China 2.Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100088, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Xiaoping,Wu, Jiming,Yu, Dehao. Superconvergence of the composite Simpson's rule for a certain finite-part integral and its applications[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2009,223(2):598-613. |
| APA | Zhang, Xiaoping,Wu, Jiming,&Yu, Dehao.(2009).Superconvergence of the composite Simpson's rule for a certain finite-part integral and its applications.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,223(2),598-613. |
| MLA | Zhang, Xiaoping,et al."Superconvergence of the composite Simpson's rule for a certain finite-part integral and its applications".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 223.2(2009):598-613. |
入库方式： OAI收割
来源：数学与系统科学研究院
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