文献类型：期刊文献

英文题名：Moments-based computation of highly oscillatory integrals with exponential and Bessel kernels

作者：Chen, Ruyun[1];Du, Hong[1]

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

年份：2026

卷号：72

期号：7

外文期刊名：JOURNAL OF APPLIED MATHEMATICS AND COMPUTING

收录：SCI-EXPANDED(收录号：WOS:001810673300001)、、EI(收录号：20262721045512)、Scopus(收录号：2-s2.0-105043749111)、WOS

语种：英文

外文关键词：Asymptotic expansion; Filon-type method; Oscillatory integral; Exponential function; Bessel function

外文摘要：This study introduces new methods for approximating the infinite integrals containing the exponential and Bessel functions with large parameters. The analysis begins by deriving the analytical expressions for the relevant moments and establishing their asymptotic orders. Based on these results, two schemes are introduced: an asymptotic method and a Filon-type method. These proposed techniques are then validated through a series of numerical experiments, which confirm their effectiveness and support the theoretical findings.