Finite Fourier transforms computed by a modified Filon–Euler–Maclaurin method

The Filon–Euler–Maclaurin (FEM) method for computing the finite Fourier transform of a function in terms of the fast Fourier transform plus end point corrections is presented. Methods previously developed are derived within a unified framework. New methods of quadratic, quartic and quintic accuracy...

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Vydáno v:Computer physics communications Ročník 184; číslo 3; s. 607 - 616
Hlavní autoři: Sprung, D.W.L., Betti, M.I., van Dijk, W.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier B.V 01.03.2013
Témata:
Accuracy
Computation
Construction
Finite element method
Finite-difference methods
Formulations
Fourier analysis
Fourier transforms
Mathematical analysis
Mathematical models
Numerical differentiation and integration
Fourier analysis
Numerical differentiation and integration
Finite-difference methods
ISSN:0010-4655, 1879-2944
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Shrnutí:The Filon–Euler–Maclaurin (FEM) method for computing the finite Fourier transform of a function in terms of the fast Fourier transform plus end point corrections is presented. Methods previously developed are derived within a unified framework. New methods of quadratic, quartic and quintic accuracy are given. Our formulation allows one to easily construct methods of higher order.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0010-4655
1879-2944
DOI:10.1016/j.cpc.2012.10.014