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Use of Richardson extrapolation for the numerical calculation of Fourier transforms

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Publication:1225926
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DOI10.1016/0021-9991(76)90036-XzbMath0326.65078MaRDI QIDQ1225926

Bo Einarsson

Publication date: 1976

Published in: Journal of Computational Physics (Search for Journal in Brave)



Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Extrapolation to the limit, deferred corrections (65B05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Numerical methods for trigonometric approximation and interpolation (65T40) Software, source code, etc. for problems pertaining to integral transforms (44-04)


Related Items

Algorithms for classic dual trigonometric equations, Bibliography on the evaluation of numerical software



Cites Work

  • The numerical evaluation by splines of Fourier transforms
  • On the accuracy of numerical Fourier transforms
  • The accuracy of finite Fourier transforms
  • Computation of oscillating integrals
  • Algorithm for the automatic integration of highly oscillatory functions
  • The accurate calculation of Fourier integrals by the fast Fourier transform technique
  • A Simple "Filon-Trapezoidal" Rule
  • An algorithm for Filon quadrature
  • Unnamed Item
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