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On the Filon and Levin methods for highly oscillatory integral

Authors :
Xiang, Shuhuang
Source :
Journal of Computational & Applied Mathematics. Nov2007, Vol. 208 Issue 2, p434-439. 6p.
Publication Year :
2007

Abstract

Abstract: This paper shows that for any suitably smooth function and arbitrarily selected interpolation nodes in , the Filon method and the Levin method for with the polynomial interpolation approach are identical when is a linear function. Based on this result, a new efficient Levin quadrature for is presented. [Copyright &y& Elsevier]

Subjects

Subjects :
*NUMERICAL analysis
*MATHEMATICAL analysis
*ASYMPTOTIC expansions
*NUMERICAL solutions to biharmonic equations

Details

Language :
English
ISSN :
03770427
Volume :
208
Issue :
2
Database :
Academic Search Index
Journal :
Journal of Computational & Applied Mathematics
Publication Type :
Academic Journal
Accession number :
26150203
Full Text :
https://doi.org/10.1016/j.cam.2006.10.006
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