Reproducing kernel function-based Filon and Levin methods for solving highly oscillatory integral

F.Z. Geng and X.Y. Wu

Applied Mathematics and Computation, 2021, vol. 397, issue C

Abstract: The main theme of this paper is to develop new Filon and Levin methods for highly oscillatory integrals. The novel method is based on the spline reproducing kernel functions approximation in Sobolev reproducing kernel Hilbert space. The accuracy and efficiency of the present method is illustrated through some numerical experiments compared with some effective methods appeared in the literature.

Keywords: Reproducing kernel; Highly oscillatory integral; Filon method; Levin method (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S009630032100028X
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:397:y:2021:i:c:s009630032100028x

DOI: 10.1016/j.amc.2021.125980

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().