期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 215, 期 5, 页码 1886-1894出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2009.07.041
关键词
Cauchy principal value; Clenshaw-Curtis method; Stability; Oscillatory integral
资金
- Hunan Provincial Education Department
- NSF of China [10771218]
- Program for New Century Excellent Talents in University, State Education Ministry, China
This paper presents an interpolatory type integration rule for the numerical evaluation of Cauchy principal value integrals of oscillatory integrands (sic)(-1)(1) e(i omega x)f(x)/x-tau dx, where -1 < tau < 1 for a given smooth function f(x). The proposed method is constructed by interpolating f(x) at practical Chebyshev points and subtracting out the singularity. A numerically stable procedure is obtained and the corresponding algorithm can be implemented by fast Fourier transform. The validity of the method has been demonstrated by several numerical experiments. (C) 2009 Elsevier Inc. All rights reserved.
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