SUPERCONVERGENCE OF GALERKIN SOLUTIONS FOR HAMMERSTEIN
文献类型：期刊论文
| 作者 | Huang, Qiumei1; Xie, Hehu2
|
| 刊名 | INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
 |
| 出版日期 | 2009 |
| 卷号 | 6期号:4页码:696-710 |
| 关键词 | superconvergence interpolation post-processing iterated Galerkin method Hammerstein equations smooth and weakly singular kernels |
| ISSN号 | 1705-5105 |
| 英文摘要 | In the present paper, we discuss the superconvergence of the interpolated Galerkin solutions for Hammerstein equations. With the interpolation post-processing for the Galerkin approximation x(h), we get a higher order approximation I(2h)(2r-1)x(h), whose convergence order is the same as that of the iterated Galerkin solution. Such an interpolation post-processing method is much simpler than the iterated method especially for the weak singular kernel case. Some numerical experiments are carried out to demonstrate the effectiveness of the interpolation post-processing method. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000271544000010 |
| 出版者 | ISCI-INST SCIENTIFIC COMPUTING & INFORMATION |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8409]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Huang, Qiumei |
| 作者单位 | 1.Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, Qiumei,Xie, Hehu. SUPERCONVERGENCE OF GALERKIN SOLUTIONS FOR HAMMERSTEIN[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2009,6(4):696-710. |
| APA | Huang, Qiumei,&Xie, Hehu.(2009).SUPERCONVERGENCE OF GALERKIN SOLUTIONS FOR HAMMERSTEIN.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,6(4),696-710. |
| MLA | Huang, Qiumei,et al."SUPERCONVERGENCE OF GALERKIN SOLUTIONS FOR HAMMERSTEIN".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 6.4(2009):696-710. |
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。