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

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	Solving integral equations with logarithmic kernel by using periodic quasi-wavelet
	Chen, HL; Peng, SL
	2000-09-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	18 期号:5 页码:487-512
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
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000089333200005
出版者	VSP BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15641
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.