| Solving integral equations with logarithmic kernel by using periodic quasi-wavelet | |
| Chen, HL; Peng, SL, | |
| Source Publication | Journal of Computational Mathematics
 |
| 2000 | |
| Volume | 18(5)Issue:5Pages:487-512 (SCI) |
| Abstract | 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. |
| Keyword | Periodic / quasi-wavelet / integral / equation / multiscale |
| Document Type | 期刊论文 |
| Identifier | http://ir.ia.ac.cn/handle/173211/12909 |
| Collection | 智能制造技术与系统研究中心_多维数据分析 |
| Corresponding Author | Chen, HL |
| Recommended Citation 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)(5):487-512 (SCI). |
| APA | Chen, HL,&Peng, SL,.(2000).Solving integral equations with logarithmic kernel by using periodic quasi-wavelet.Journal of Computational Mathematics,18(5)(5),487-512 (SCI). |
| MLA | Chen, HL,et al."Solving integral equations with logarithmic kernel by using periodic quasi-wavelet".Journal of Computational Mathematics 18(5).5(2000):487-512 (SCI). |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| Solving integral equ（0KB） | 期刊论文 | 作者接受稿 | 暂不开放 | CC BY-NC-SA | Application Full Text | |
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