Solving integral equations with logarithmic kernel by using periodic quasi-wavelet

	Solving integral equations with logarithmic kernel by using periodic quasi-wavelet
	Chen, HL; Peng, SL,
	2000
发表期刊	Journal of Computational Mathematics
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
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/12909
专题	智能制造技术与系统研究中心_多维数据分析
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).
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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