Numerical approximation of Fourier-transforms
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Publication:2529157
DOI10.1007/BF02162560zbMath0163.39503MaRDI QIDQ2529157
Publication date: 1966
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/131700
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On the Filon and Levin methods for highly oscillatory integral \(\smallint^{b}_{a}f(x)e^{iwg(x)}\,dx\) ⋮ Numerical Integration of Highly Oscillating Functions ⋮ Numerical calculation of integrals involving oscillatory and singular kernels and some applications of quadratures ⋮ A numerical method for the integration of oscillatory functions ⋮ Numerical computation of the Fourier transform using Laguerre functions and the fast Fourier transform ⋮ On numerical evaluation of integrals involving Bessel functions ⋮ Finite Fourier transforms computed by a modified Filon-Euler-Maclaurin method ⋮ Problems of optimization and numerical stability in computations ⋮ Van der Monde systems and numerical differentiation ⋮ Generalized Romberg methods for integrals of derivatives ⋮ Numerical integration by means of adapted Euler summation formulas
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