Efficient quadrature for highly oscillatory integrals involving critical points

被引：24
|
作者：
Xiang, Shuhuang [1 ]
机构：
[1] Cent S Univ, Dept Appl Math & Software, Changsha 410083, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 206卷 / 02期
基金：
日本学术振兴会;
关键词：
effectiveness; quadrature; highly oscillatory integral; critical point;
D O I：
10.1016/j.cam.2006.08.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper based on the Levin collocation method and Levin-type method together with composite two-point Gauss-Legendre quadrature presents efficient quadrature for integral transformations of highly oscillatory functions with critical points. The effectiveness and accuracy of the quadrature are tested. (C) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：688 / 698
页数：11
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