Quadrature rules and asymptotic expansions for two classes of oscillatory Bessel integrals with singularities of algebraic or logarithmic type
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Publication:2359662
DOI10.1016/j.apnum.2017.03.011zbMath1367.65037OpenAlexW2602888556MaRDI QIDQ2359662
Publication date: 22 June 2017
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2017.03.011
singularitiesChebyshev polynomialsnumerical examplesfast Fourier transformasymptotic expansionsrecurrence relationsquadrature rulesBessel integralsoscillatory integralsClenshaw-Curtis-Filon-type methodFilon-type method
Numerical methods for wavelets (65T60) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical aspects of recurrence relations (65Q30)
Related Items (12)
Numerical evaluation of oscillatory-singular integrals ⋮ Fast non-polynomial interpolation and integration for functions with logarithmic singularities ⋮ An efficient quadrature rule for the oscillatory infinite generalized Bessel transform with a general oscillator and its error analysis ⋮ Fast computation of highly oscillatory Bessel transforms ⋮ Numerical evaluation and error analysis of many different oscillatory Bessel transforms via confluent hypergeometric function ⋮ Efficient quadrature rules for the singularly oscillatory Bessel transforms and their error analysis ⋮ Numerical integration of oscillatory Airy integrals with singularities on an infinite interval ⋮ On evaluation of oscillatory transforms from position to momentum space ⋮ Efficient calculation and asymptotic expansions of many different oscillatory infinite integrals ⋮ Asymptotic analysis and numerical methods for oscillatory infinite generalized Bessel transforms with an irregular oscillator ⋮ Numerical methods for two classes of singularly oscillatory Bessel transforms and their error analysis ⋮ Frequency-explicit convergence analysis of collocation methods for highly oscillatory Volterra integral equations with weak singularities
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