Evaluation of Cauchy principal value integrals of oscillatory kind

被引：8
|
作者：
Li, Jianbing [1 ]
Wang, Xuesong [1 ]
Wang, Tao [1 ]
机构：
[1] Natl Univ Def Technol, Coll Elect Sci & Engn, Changsha 410073, Hunan, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 06期
关键词：
Cauchy principal value integral; Oscillatory integral; Improved-Levin method; Chebyshev differentiation matrix; Gauss-Laguerre quadrature; QUADRATURE;
D O I：
10.1016/j.amc.2010.07.039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the evaluation of Cauchy principal value (c.p.v.) integrals of oscillatory kind: integral (b)(a) f(x)/x-tau rho i omega x, where tau is an element of (a,b). The singularity of the c.p.v. integral is transferred to an individual oscillatory integral that can be analytically calculated. The remaining integral which is non-singular can be well calculated with a stable and fast quadrature method, namely the improved-Levin method. Numerical examples confirm the advantages of the proposed method. (C) 2010 Elsevier Inc. All rights reserved.
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页码：2390 / 2396
页数：7
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