Limit values of derivatives of the cauchy integrals and computation of the logarithmic potentials
文献类型：期刊论文
| 作者 | Xu, Y; Chen, HL; Zou, Q |
| 刊名 | COMPUTING
 |
| 出版日期 | 2004-11-01 |
| 卷号 | 73期号:4页码:295-327 |
| 关键词 | Cauchy integrals limit values logarithmic potentials singular integrals numerical evaluation of logarithmic potentials |
| ISSN号 | 0010-485X |
| DOI | 10.1007/s00607-003-0072-4 |
| 英文摘要 | We derive limit values of high-order derivatives of the Cauchy integrals, which are extensions of the Plemelj-Sokhotskyi formula. We then use them to develop the Taylor expansion of the logarithmic potentials at the normal direction. Based on the Taylor expansion and numerical integration methods for weekly singular functions using grid points, we design fast algorithms for computing the logarithmic potentials. We prove that these methods have an optimal order of convergence with a linear computational complexity. Numerical examples are included to confirm the theoretical estimates for the methods. |
| WOS研究方向 | Computer Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000225386400001 |
| 出版者 | SPRINGER WIEN |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19633]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xu, Y |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Syracuse Univ, Dept Math, Syracuse, NY 13244 USA 3.Zhongshan Univ Guangzhou, Dept Comp Sci & Comp Applicat, Guangzhou 510275, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Y,Chen, HL,Zou, Q. Limit values of derivatives of the cauchy integrals and computation of the logarithmic potentials[J]. COMPUTING,2004,73(4):295-327. |
| APA | Xu, Y,Chen, HL,&Zou, Q.(2004).Limit values of derivatives of the cauchy integrals and computation of the logarithmic potentials.COMPUTING,73(4),295-327. |
| MLA | Xu, Y,et al."Limit values of derivatives of the cauchy integrals and computation of the logarithmic potentials".COMPUTING 73.4(2004):295-327. |
入库方式： OAI收割
来源：数学与系统科学研究院
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