Evaluations of certain hypersingular integrals on interval

CSpace

	Evaluations of certain hypersingular integrals on interval
	Du, QK
	2001-08-10
发表期刊	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
ISSN	0029-5981
卷号	51 期号:10 页码:1195-1210
摘要	In this paper, we investigate a hypersingular integral on an interval. The definition of Hadamard's finite-part integrals and some of its properties are given. Some numerical methods on approximate computation of the finite-part integrals are constructed. The new method is very simple, easy to implement, reliable, and above all, not affected by the location of singular point. Some numerical experiments are carried out using the current formulae, and numerical results show that the current methods are feasible and effective. Copyright (C) 2001 John Wiley & Sons, Ltd.
关键词	hypersingular integrals finite-part integrals quadrature formula
语种	英语
WOS研究方向	Engineering ; Mathematics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000169927400004
出版者	JOHN WILEY & SONS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16476
专题	中国科学院数学与系统科学研究院
通讯作者	Du, QK
作者单位	1.Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Du, QK. Evaluations of certain hypersingular integrals on interval[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,2001,51(10):1195-1210.
APA	Du, QK.(2001).Evaluations of certain hypersingular integrals on interval.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,51(10),1195-1210.
MLA	Du, QK."Evaluations of certain hypersingular integrals on interval".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 51.10(2001):1195-1210.