Superconvergence and ultraconvergence of Newton-Cotes rules for supersingular integrals
文献类型：期刊论文
| 作者 | Li, Jin2; Zhang, Xiaoping1; Yu, Dehao2 |
| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2010-04-01 |
| 卷号 | 233期号:11页码:2841-2854 |
| 关键词 | Supersingular integral Composite Newton-Cotes rule Superconvergence Ultraconvergence |
| ISSN号 | 0377-0427 |
| DOI | 10.1016/j.cam.2009.11.029 |
| 英文摘要 | In this article, the general (composite) Newton-Cotes rules for evaluating Hadamard finite-part integrals with third-order singularity (which is also called "supersingular integrals") are investigated and the emphasis is placed on their pointwise superconvergence and ultraconvergence. The main error of the general Newton-Cotes rules is derived, which is shown to be determined by a certain function s(k)'(tau). Based on the error expansion, the corresponding modified quadrature rules are also proposed. At last, some numerical experiments are carried out to validate the theoretical analysis. (C) 2009 Elsevier B.V. All rights reserved. |
| 资助项目 | National Basic Research Program of China[2005CB321701] ; National Natural Science Foundation of China[10531080] ; Natural Science Foundation of Beijing[1072009] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000275251600008 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9975]  |
| 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.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China 2.CAS, LSEC, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Jin,Zhang, Xiaoping,Yu, Dehao. Superconvergence and ultraconvergence of Newton-Cotes rules for supersingular integrals[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2010,233(11):2841-2854. |
| APA | Li, Jin,Zhang, Xiaoping,&Yu, Dehao.(2010).Superconvergence and ultraconvergence of Newton-Cotes rules for supersingular integrals.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,233(11),2841-2854. |
| MLA | Li, Jin,et al."Superconvergence and ultraconvergence of Newton-Cotes rules for supersingular integrals".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 233.11(2010):2841-2854. |
入库方式： OAI收割
来源：数学与系统科学研究院
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