The Superconvergence of Certain Two-Dimensional Hilbert Singular Integrals

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	The Superconvergence of Certain Two-Dimensional Hilbert Singular Integrals
	Li, Jin 1; Yu, De-hao 2,3
	2011-12-01
发表期刊	CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
ISSN	1526-1492
卷号	82 期号:3-4 页码:233-252
摘要	The composite rectangle (midpoint) rule for the computation of multidimensional singular integrals is discussed and the superconvergence results is obtained. When the local coordinate is coincided with certain priori known coordinates, we get the convergence rate one order higher than the global one. At last, numerical examples are presented to illustrate our theoretical analysis which agree with it very well.
语种	英语
资助项目	Natural Science of Chinese[11101247] ; Natural Science of Shandong Province[ZR2011AQ020] ; Natural Science of Shandong Province[J11LE08] ; National Basic Research Program of China[2005CB321701] ; CAS for National Prize
WOS研究方向	Engineering ; Mathematics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000301467200005
出版者	TECH SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13080
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Jin
作者单位	1.Shandong Jianzhu Univ, Sch Sci, Jinan 250101, Peoples R China 2.Xiamen Univ, Sch Sci, Xiamen 361005, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Jin,Yu, De-hao. The Superconvergence of Certain Two-Dimensional Hilbert Singular Integrals[J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,2011,82(3-4):233-252.
APA	Li, Jin,&Yu, De-hao.(2011).The Superconvergence of Certain Two-Dimensional Hilbert Singular Integrals.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,82(3-4),233-252.
MLA	Li, Jin,et al."The Superconvergence of Certain Two-Dimensional Hilbert Singular Integrals".CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES 82.3-4(2011):233-252.