| Solving integral equations with logarithmic kernel by using periodic quasi-wavelet |
| Chen, HL; Peng, SL,
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发表期刊 | Journal of Computational Mathematics
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| 2000
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卷号 | 18(5)期号:5页码:487-512 (SCI) |
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. |
关键词 | Periodic / quasi-wavelet / integral / equation / multiscale
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文献类型 | 期刊论文
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条目标识符 | http://ir.ia.ac.cn/handle/173211/12909
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专题 | 智能制造技术与系统研究中心_多维数据分析
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通讯作者 | Chen, HL |
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)(5):487-512 (SCI).
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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).
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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).
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