Superconvergence of Interpolated Collocation Solutions for Hammerstein Equations
文献类型：期刊论文
| 作者 | Huang, Qiumei1; Zhang, Shuhua2 |
| 刊名 | NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2010-03-01 |
| 卷号 | 26期号:2页码:290-304 |
| 关键词 | superconvergence interpolation postprocessing the iterated collocation method Hammerstein equations smooth and weakly singular kernels |
| ISSN号 | 0749-159X |
| DOI | 10.1002/num.20429 |
| 英文摘要 | In this article, we discuss the superconvergence of the interpolated collocation solutions for Hammerstein equations. Applying this new interpolation postprocessing to the collocation approximation x(h), We get a higher accuracy approximation I(2h)(2r-1)x(h), whose convergence order is the same as that of the iterated collocation method. Such an interpolation postprocessing method is much simpler. Also, numerical experiments are shown to demonstrate the efficiency of the interpolation postprocessing method. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 26: 290-304, 2010 |
| 资助项目 | Major State Basic Research Project[2007CB814906] ; National Natural Science Foundation of China[10471103] ; National Natural Science Foundation of China[10771158] ; Social Science Foundation of the Ministry of Education of China[06JA630047] ; Tianjin Natural Science Foundation[07JCYBJC14300] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000274816800003 |
| 出版者 | WILEY-BLACKWELL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9917]  |
| 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 100190, Peoples R China 2.Tianjin Univ Finance & Econ, Dept Math, Tianjin 300222, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Qiumei,Zhang, Shuhua. Superconvergence of Interpolated Collocation Solutions for Hammerstein Equations[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,2010,26(2):290-304. |
| APA | Huang, Qiumei,&Zhang, Shuhua.(2010).Superconvergence of Interpolated Collocation Solutions for Hammerstein Equations.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,26(2),290-304. |
| MLA | Huang, Qiumei,et al."Superconvergence of Interpolated Collocation Solutions for Hammerstein Equations".NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 26.2(2010):290-304. |
入库方式： OAI收割
来源：数学与系统科学研究院
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