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;

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

页码：43 / 48

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