Numerical evaluation of oscillatory-singular integrals

被引：2
|
作者：
Yang, Gang [1 ]
Yao, Luogen [1 ]
Chen, Ruyun [2 ]
机构：
[1] Hunan Univ Commerce, Sch Math & Stat, Changsha 410205, Hunan, Peoples R China
[2] Guangdong Ocean Univ, Sch Math & Comp, Zhanjiang, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2019年 / 96卷 / 12期
关键词：
Singularity; approximate polynomial; oscillatory integrals; numerical evaluation; error analysis; PRINCIPAL VALUE INTEGRALS; ASYMPTOTIC EXPANSIONS; QUADRATURE; COMPUTATION;
D O I：
10.1080/00207160.2019.1572884
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider an asymptotic Filon-type method for computing the oscillatory Cauchy principal value integrals and end-point oscillatory-singular integrals. The method is constructed by using a Lagrange interpolating polynomial to approximate the non-oscillatory function so that it successfully avoids the singularity and solving the systems of equations. Numerical examples and theoretical results show the accuracy and efficiency of the proposed method.
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页码：2473 / 2486
页数：14
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