文献类型：期刊文献

英文题名：Numerical evaluation of oscillatory-singular integrals

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

年份：2019

卷号：96

期号：12

起止页码：2473

外文期刊名：INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

收录：SCI-EXPANDED(收录号：WOS:000490180800010)、、EI(收录号：20190606480443)、Scopus(收录号：2-s2.0-85061030929)、WOS

基金：The work was supported by National Social Science Fund of China [grant number 15BJY122] and Natural Science Foundation of Guangdong Province, China [grant number 2015A030313615].

语种：英文

外文关键词：Singularity; approximate polynomial; oscillatory integrals; numerical evaluation; error analysis

外文摘要：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.