文献类型：期刊文献

英文题名：Numerical evaluation of highly oscillatory Bessel transforms

作者：Chen, Ruyun[1];Yang, Gang[2]

机构：[1]Guangdong Ocean Univ, Sch Math & Comp, Zhanjiang 524088, Guangdong, Peoples R China;[2]Hunan Univ Commerce, Sch Math & Stat, Changsha 410205, Hunan, Peoples R China

年份：2018

卷号：342

起止页码：16

外文期刊名：JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

收录：SCI-EXPANDED(收录号：WOS:000436904000002)、、EI(收录号：20181805130836)、Scopus(收录号：2-s2.0-85046163142)、WOS

基金：The work is supported by NSF of Guangdong (No. 2015A030313615), and Guangxi Colleges and Universities Key Laboratory of Symbolic Computation and Engineering Data Processing (No. FH201501).

语种：英文

外文关键词：Oscillatory function; Bessel transforms; Multiple integral; Numerical quadrature

外文摘要：In this paper we mainly focus on numerical evaluation of highly oscillatory Bessel transforms. Based on the multiple integral, the schemes for computing this class of the transform are presented. By means of the bounds of special functions, we give the corresponding errors of the schemes. To demonstrate the efficiency and accuracy of the proposed methods, some test examples are shown. (C) 2018 Elsevier B.V. All rights reserved.