An automatic integration of infinite range integrals involving Bessel functions

被引：0
|
作者：
Su, Feng [1 ]
Hasegawa, Takemitsu [2 ]
Sidi, Avram [1 ,2 ]
机构：
[1] Department of Information Science, Faculty of Engineering, Fukui University, Fukui 910-8507, Japan
[2] Computer Science Department, Technion-Israel Inst. of Technology, Haifa 32000, Israel
来源：
Topics in Applied and Theoretical Mathematics and Computer Science | 2001年
关键词：
Chebyshev approximation - Computer software - Fast Fourier transforms - Integral equations - Integration - Mathematical models - Polynomial approximation;
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摘要：
An efficient automatic quadrature procedure is developed for numerically computing the integrals ∫0∞ Jv (ω t) f(t)dt, where the function f(t) is smooth and nonoscillatory at infinity and Jv(ω t) is the Bessel functions of order v = 1,0 and 1/4. The procedure involves the use of an automatic integration scheme of modified FFT used for evaluating Fourier integrals and product type integration, and the modified W-transformation used for computing oscillatory infinite integrals.
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页码：43 / 48
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