Fast collocation methods for second kind integral equations
文献类型：期刊论文
| 作者 | Chen, ZY; Micchelli, CA; Xu, YS |
| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2002-05-10 |
| 卷号 | 40期号:1页码:344-375 |
| 关键词 | fast collocation methods Fredholm integral equations of the second kind refinable sets multiscale interpolation |
| ISSN号 | 0036-1429 |
| 英文摘要 | In this paper we develop fast collocation methods for integral equations of the second kind with weakly singular kernels. For this purpose, we construct multiscale interpolating functions and collocation functionals having vanishing moments. Moreover, we propose a truncation strategy for the coefficient matrix of the corresponding discrete system which forms a basis for fast algorithms. An optimal order of convergence of the approximate solutions obtained from the fast algorithms is proved and the computational complexity of the algorithms is estimated. The stability of the numerical method and the condition number of the truncated coefficient matrix are analyzed. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000175899900017 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17768]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, ZY |
| 作者单位 | 1.Zhongshan Univ, Dept Sci Comp & Comp Applicat, Guangzhou 510275, Peoples R China 2.SUNY Albany, Dept Math & Stat, Albany, NY 12222 USA 3.W Virginia Univ, Dept Math, Morgantown, WV 26506 USA 4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, ZY,Micchelli, CA,Xu, YS. Fast collocation methods for second kind integral equations[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2002,40(1):344-375. |
| APA | Chen, ZY,Micchelli, CA,&Xu, YS.(2002).Fast collocation methods for second kind integral equations.SIAM JOURNAL ON NUMERICAL ANALYSIS,40(1),344-375. |
| MLA | Chen, ZY,et al."Fast collocation methods for second kind integral equations".SIAM JOURNAL ON NUMERICAL ANALYSIS 40.1(2002):344-375. |
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。