文献类型：期刊文献

英文题名：Computation of oscillatory integrals with an exponential kernel and Jacobi-type singularities

作者：Chen, Ruyun[1];Yu, Di[1];Chen, Juan[1]

机构：[1]Guangdong Ocean Univ, Sch Math & Comp Sci, Zhanjiang 524088, Guangdong, Peoples R China

年份：2021

卷号：494

期号：1

外文期刊名：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

收录：SCI-EXPANDED(收录号：WOS:000577832400007)、、Scopus(收录号：2-s2.0-85089465090)、WOS

基金：The authors thank the associate editor and referees for their valuable comments and suggestions for greatly improving this article. The work was supported by the Natural Science Foundation of Guangdong Province, China (grant no. 2015A030313615).

语种：英文

外文关键词：Exponential kernel; Oscillatory integral; Singularity; Numerical integration; Error analysis

外文摘要：In this communication two rules are considered for computing oscillatory integrals with an exponential kernel and Jacobi-type singularities. An asymptotic rule is presented with the aid of integration by parts. An asymptotic-Filon-type quadrature rule is constructed on the basis of a two-point Taylor interpolation polynomial. Error analysis on the proposed rules in inverse powers of large frequency omega is provided. Numerical examples are provided to illustrate that the two rules are very efficient in obtaining very high precision approximations if omega is sufficiently large. (C) 2020 Published by Elsevier Inc.