Fourier or Bessel transformations of highly oscillatory functions

DOI10.1088/0305-4470/25/24/026zbMATH Open0783.65090OpenAlexW1970440496MaRDI QIDQ4038938

Author name not available (Why is that?)

Publication date: 17 March 1994

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/25/24/026

zbMATH Keywords

algorithmBessel functionsBessel transformsGaussian quadrature methodhighly oscillatory integrands

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Numerical quadrature and cubature formulas (65D32) Numerical methods for trigonometric approximation and interpolation (65T40)

Related Items (7)

Title not available (Why is that?) ⋮ On quadrature of Bessel transformations ⋮ Optimal calculation of integrals of rapidly oscillating functions for some classes of differential functions ⋮ Optimal minimax algorithm for integrating fast oscillatory functions in two dimensions ⋮ Optimal-by-order quadrature formulae for fast oscillatory functions with inaccurately given a priori information ⋮ Euler–Bessel and Euler–Fourier transforms ⋮ Optimal-by-accuracy and optimal-by-order cubature formulae in interpolational classes

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