The superconvergence of the Newton-Cotes rule for Cauchy principal value integrals
文献类型：期刊论文
| 作者 | Liu, Dongjie3; Wu, Jiming1; Yu, Dehao2 |
| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2010-12-01 |
| 卷号 | 235期号:3页码:696-707 |
| 关键词 | Cauchy principal value integral Newton-Cotes method Superconvergence result |
| ISSN号 | 0377-0427 |
| DOI | 10.1016/j.cam.2010.06.023 |
| 英文摘要 | We consider the general (composite) Newton-Cotes method for the computation of Cauchy principal value integrals and focus on its pointwise superconvergence phenomenon, which means that the rate of convergence of the Newton-Cotes quadrature rule is higher than what is globally possible when the singular point coincides with some a priori known point. The necessary and sufficient conditions satisfied by the superconvergence point are given. Moreover, the superconvergence estimate is obtained and the properties of the superconvergence points are investigated. Finally, some numerical examples are provided to validate the theoretical results. (C) 2010 Elsevier B.V. All rights reserved. |
| 资助项目 | Shanghai Leading Academic Discipline Project[J50101] ; Shanghai Municipality[B.37-0101-08-013] ; National Natural Science Foundation of China[10871030] ; National Natural Science Foundation of China[10531080] ; Laboratory of Computational Physics ; National Basic Research Program of China[2005CB321701] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000282394500014 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9315]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wu, Jiming |
| 作者单位 | 1.Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100088, Peoples R China 2.CAS, Acad Math & Syst Sci, LSEC, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 3.Shanghai Univ, Dept Math, Coll Sci, Shanghai 200444, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Dongjie,Wu, Jiming,Yu, Dehao. The superconvergence of the Newton-Cotes rule for Cauchy principal value integrals[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2010,235(3):696-707. |
| APA | Liu, Dongjie,Wu, Jiming,&Yu, Dehao.(2010).The superconvergence of the Newton-Cotes rule for Cauchy principal value integrals.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,235(3),696-707. |
| MLA | Liu, Dongjie,et al."The superconvergence of the Newton-Cotes rule for Cauchy principal value integrals".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 235.3(2010):696-707. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。