Numerical analysis of a fast integration method for highly oscillatory functions

被引：58
作者：
Xiang, Shuhuang [1 ]
机构：
[1] Cent S Univ, Dept Appl Math & Software, Changsha 410083, Hunan, Peoples R China
来源：
BIT NUMERICAL MATHEMATICS | 2007年 / 47卷 / 02期
基金：
日本学术振兴会;
关键词：
oscillatory integrals; Bessel function; error bounds; collocation method;
D O I：
10.1007/s10543-007-0127-y
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
The integration of systems containing Bessel functions is a central point in many practical problems in physics, chemistry and engineering. This paper presents a new numerical analysis for the collocation method presented by Levin for integral(b)(a) f(x) S(rx)dx and gives more accurate error analysis about the integration of systems containing Bessel functions. The effectiveness and accuracy of the quadrature is tested for Bessel functions with large arguments.
引用
收藏
页码：469 / 482
页数：14
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