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] School of Mathematics and Computer, Guangdong Ocean University, Guangdong, Zhanjiang, 524088, China

年份：2026

卷号：483

外文期刊名：Journal of Computational and Applied Mathematics

收录：EI(收录号：20260520001580)、Scopus(收录号：2-s2.0-105028909047)

语种：英文

外文关键词：Choquet integral - Differentiation (calculus) - Integral equations - Matrix algebra

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. ? 2026 Elsevier B.V.