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Asymptotic expansion and quadrature rule for a class of singular-oscillatory-Bessel-type transforms  ( SCI-EXPANDED收录 EI收录)   被引量:2

文献类型:期刊文献

英文题名:Asymptotic expansion and quadrature rule for a class of singular-oscillatory-Bessel-type transforms

作者:Chen, Ruyun[1];Yu, Di[1];Chen, Juan[1]

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

年份:2021

卷号:383

外文期刊名:JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

收录:SCI-EXPANDED(收录号:WOS:000574895400003)、、EI(收录号:20203409091791)、Scopus(收录号:2-s2.0-85089674190)、WOS

基金:The authors are deeply grateful to the anonymous referees for their useful comments and helpful suggestions for improvement of this paper. Also, they would like to thank the editor-in-chief Dr. Lucia Romani for his hard and diligent work. This research was supported by NSF of Guangdong Province, China (Grant No. 2015A030313615).

语种:英文

外文关键词:Bessel function; Oscillatory integral; Singularity; Quadrature rule; Error analysis

外文摘要:In this paper we mainly focus on the asymptotic expansion and quadrature rule for a class of singular-oscillatory-Bessel-type transforms. The asymptotic expansion in inverse powers of the frequency omega is obtained after avoiding the singularities. Then, based on the asymptotic expansion, we successfully construct a so-called modified Filon-type quadrature rule. Meanwhile, we also give the corresponding error analysis on two rules in inverse powers of the large frequency omega. Some numerical examples based on theoretical results are presented to demonstrate the efficiency and accuracy of the proposed rules. (C) 2020 Elsevier B.V. All rights reserved.

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