Solving integral equations with logarithmic kernel by using periodic quasi-wavelet
文献类型：期刊论文
| 作者 | Chen, HL; Peng, SL |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2000-09-01 |
| 卷号 | 18期号:5页码:487-512 |
| 关键词 | periodic quasi-wavelet integral equation multiscale |
| ISSN号 | 0254-9409 |
| 英文摘要 | In solving integral equations with logarithmic kernel which arises from the boundary integral equation reformulation of some boundary value problems for the two dimensional Helmholtz equation, we combine the Galerkin method with Beylkin's ([2]) approach, series of dense and nonsymmetric matrices may appear if we use traditional method. By appealing the so-called periodic quasi-wavelet (PQW in abbr.) ([5]), some of these matrices become diagonal, therefore we can find a algorithm with only O(K(m)(2)) arithmetic operations where m is the highest level. The Galerkin approximation has a polynomial rate of convergence. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000089333200005 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15640]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, HL,Peng, SL. Solving integral equations with logarithmic kernel by using periodic quasi-wavelet[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2000,18(5):487-512. |
| APA | Chen, HL,&Peng, SL.(2000).Solving integral equations with logarithmic kernel by using periodic quasi-wavelet.JOURNAL OF COMPUTATIONAL MATHEMATICS,18(5),487-512. |
| MLA | Chen, HL,et al."Solving integral equations with logarithmic kernel by using periodic quasi-wavelet".JOURNAL OF COMPUTATIONAL MATHEMATICS 18.5(2000):487-512. |
入库方式： OAI收割
来源：数学与系统科学研究院
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