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Solving integral equations with logarithmic kernel by using periodic quasi-wavelet
Chen, HL; Peng, SL,
Source PublicationJournal of Computational Mathematics
2000
Volume18(5)Issue:5Pages:487-512 (SCI)
AbstractIn 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.
KeywordPeriodic / quasi-wavelet / integral / equation / multiscale
Document Type期刊论文
Identifierhttp://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 AuthorChen, 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).
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