Fast computation of singular oscillatory Fourier transforms
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Publication:1725457
DOI10.1155/2014/984834zbMath1474.65523OpenAlexW2017715479WikidataQ59043314 ScholiaQ59043314MaRDI QIDQ1725457
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/984834
Numerical methods for discrete and fast Fourier transforms (65T50) Numerical quadrature and cubature formulas (65D32)
Related Items (15)
Numerical evaluation of oscillatory-singular integrals ⋮ Application of the Cauchy integral approach to singular and highly oscillatory integrals ⋮ On the evaluation of highly oscillatory finite Hankel transform using special functions ⋮ Efficient computation of highly oscillatory integrals with Hankel kernel ⋮ Unnamed Item ⋮ On the numerical approximation for Fourier-type highly oscillatory integrals with Gauss-type quadrature rules ⋮ On the numerical quadrature of weakly singular oscillatory integral and its fast implementation ⋮ On fast multipole methods for Volterra integral equations with highly oscillatory kernels ⋮ Efficient calculation and asymptotic expansions of many different oscillatory infinite integrals ⋮ Fast computation of Bessel transform with highly oscillatory integrands ⋮ A Chebyshev collocation method for a class of Fredholm integral equations with highly oscillatory kernels ⋮ Efficient method for the computation of oscillatory Bessel transform and Bessel Hilbert transform ⋮ Efficient computation of highly oscillatory Fourier-type integrals with monomial phase functions and Jacobi-type singularities ⋮ The modified composite Gauss type rules for singular integrals using Puiseux expansions ⋮ Computation of integrals with oscillatory singular factors of algebraic and logarithmic type
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