详细信息
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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