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

DOI10.1016/j.cpc.2012.10.014zbMath1303.65115OpenAlexW2038530432MaRDI QIDQ483853

D. W. L. Sprung, W. van Dijk, Matthew Betti

Publication date: 17 December 2014

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2012.10.014

zbMATH Keywords

fast Fourier transformfinite-difference methodsfinite Fourier transformFilon-Euler-Maclaurin methodnumerical differentiation and integration

Mathematics Subject Classification ID

Numerical methods for discrete and fast Fourier transforms (65T50) Numerical quadrature and cubature formulas (65D32) Numerical differentiation (65D25) Euler-Maclaurin formula in numerical analysis (65B15)

Cites Work

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• Fast Fourier transforms of piecewise constant functions
• The calculation of trigonometric Fourier coefficients
• Numerical approximation of Fourier-transforms
• Computational Techniques Based on the Lanczos Representation
• Calculating Fourier Transforms of Long-Tailed Functions
• The calculation of Fourier Coefficients
• Numerical Integration Over Any Numbers of Equal Intervals
• Accelerating convergence of trigonometric approximations

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