On the computation of highly oscillatory multivariate integrals with stationary points
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software
Link
http://link.springer.com/content/pdf/10.1007/s10543-006-0071-2.pdf
Reference10 articles.
1. G. Dahlquist, On summation formulas due to Plana, Lindelöf and Abel, BIT, 37 (1997), pp. 256–295.
2. G. Dahlquist and A. Björck, Numerical Methods, Dover, Mineola, NY, 2003.
3. D. Huybrechs and S. Vandewalle, On the evaluation of highly oscillatory integrals by analytic continuation, SIAM J. Numer. Anal. (2006). To appear.
4. A. Iserles and S. P. Nørsett, On quadrature methods for highly oscillatory integrals and their implementation, BIT, 44 (2004), pp. 755–772.
5. A. Iserles and S. P. Nørsett, Efficient quadrature of highly oscillatory integrals using derivatives, Proc. R. Soc. A, 461 (2005), pp. 1383–1399.
Cited by 23 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Optimal quadrature formulas for approximating strongly oscillating integrals in the Hilbert space W˜2(m,m−1) of periodic functions;Journal of Computational and Applied Mathematics;2025-01
2. Asymptotic computation without derivatives for the multivariate highly oscillatory integral;Journal of Computational Physics;2024-03
3. On product integration rules for highly oscillatory integrals on a triangle;Journal of Computational and Applied Mathematics;2023-03
4. Wave effect of gravitational waves intersected with a microlens field: A new algorithm and supplementary study;Science China Physics, Mechanics & Astronomy;2022-12-21
5. An analysis of the steepest descent method to efficiently compute the three-dimensional acoustic single-layer operator in the high-frequency regime;IMA Journal of Numerical Analysis;2022-08-30
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3