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On the Filon and Levin methods for highly oscillatory integral
- 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]
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