Efficient numerical methods for Bessel type of oscillatory integrals

DOI10.1016/j.cam.2016.10.032zbMath1421.65009OpenAlexW2553291899MaRDI QIDQ729857

Sakhi Zaman, Siraj-ul-islam

Publication date: 22 December 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.10.032

zbMATH Keywords

oscillatory integralsBessel-trigonometric functionshybrid and Haar quadraturesmeshless proceduresystem of coupled equations

Mathematics Subject Classification ID

Numerical integration (65D30)

Related Items (14)

Numerical evaluation of oscillatory-singular integrals ⋮ Interpolation based formulation of the oscillatory finite Hilbert transforms ⋮ Approximation of oscillatory Bessel integral transforms ⋮ Efficient computation of oscillatory Bessel transforms with a singularity of Cauchy type ⋮ Fast computation of highly oscillatory Bessel transforms ⋮ Numerical study on integrals involving the product of Bessel functions and a trigonometric function arising in hydrodynamic problems ⋮ Numerical integration of oscillatory Airy integrals with singularities on an infinite interval ⋮ On numerical evaluation of integrals involving oscillatory Bessel and Hankel functions ⋮ Efficient methods for highly oscillatory integrals with weakly singular and hypersingular kernels ⋮ New algorithms for approximation of Bessel transforms with high frequency parameter ⋮ Approximation of highly oscillatory integrals containing special functions ⋮ Numerical methods for multivariate highly oscillatory integrals ⋮ On efficient computation of highly oscillatory retarded potential integral equations ⋮ Galerkin-Levin method for highly oscillatory integrals

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