文献类型：期刊文献

英文题名：New method of oscillatory integrals involving two Bessel functions

作者：Du, Hong[1];Chen, Zhong[2,3]

机构：[1]Guangdong Ocean Univ, Coll Math & Comp Sci, Zhanjiang 524000, Guangdong, Peoples R China;[2]Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Shandong, Peoples R China;[3]Qingdao Res Inst, Harbin Inst Technol Weihai, Qingdao 266000, Shandong, Peoples R China

年份：2026

卷号：519

外文期刊名：APPLIED MATHEMATICS AND COMPUTATION

收录：SCI-EXPANDED(收录号：WOS:001658854000001)、、EI(收录号：20260119845610)、Scopus(收录号：2-s2.0-105026138372)、WOS

基金：This work was supported by Guangdong Basic and Applied Basic Research Foundation (Grant No. 2022A1515010022)

语种：英文

外文关键词：Oscillatory integrals; Bessel function; Numerical steepest descent method

外文摘要：New method based on numerical steepest descent method (NSDM) is proposed for highly oscillatory integrals (HOIs) with products of two Bessel functions on [a, b]. The calculation of the HOIs is provided for the two cases a> 0 and a = 0. Especially under Case a = 0, the recurrence relation of moment functions is obtained, the key calculation of four moment functions of degree 0 is solved using the NSDM and the stability of the recurrence relation is also analyzed. Two numerical tests verified the effectiveness of the proposed method.