文献类型：期刊文献

英文题名：Efficient matrix-based quadrature rules for oscillatory integrals with products of two Bessel functions

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：483

外文期刊名：JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

收录：SCI-EXPANDED(收录号：WOS:001679241800001)、、EI(收录号：20260520001580)、WOS

基金：The work is supported by Natural Science Foundation of Guangdong Province of China (No.2022A1515010419) and Educational Commission of Guangdong Province of China (No.2020KTSCX049)

语种：英文

外文关键词：Asymptotic quadrature; Filon-type quadrature; Integration by parts; Highly oscillatory integral; Bessel function

外文摘要：This work develops two matrix-based quadrature rules to compute the integrals containing products of two Bessel functions. By reformulating these integrals into a matrix framework and employing low-order derivatives of Bessel functions of the first kind in combination with integration by parts, we construct both a matrix-based asymptotic rule and a matrix-based Filon-type rule. Numerical experiments confirm the theoretical analysis and highlight the efficiency of the proposed rules.