Numerical evaluation of highly oscillatory Bessel transforms

DOI10.1016/j.cam.2018.03.026zbMath1391.65049OpenAlexW2800061843WikidataQ129961538 ScholiaQ129961538MaRDI QIDQ1639521

Gang Yang, Ru-yun Chen

Publication date: 13 June 2018

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.2018.03.026

zbMATH Keywords

multiple integralnumerical quadratureoscillatory functionBessel transforms

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (4)

Multidimensional van der Corput-type estimates involving Mittag-Leffler functions ⋮ Approximation of oscillatory Bessel integral transforms ⋮ Asymptotic expansion and quadrature rule for a class of singular-oscillatory-Bessel-type transforms ⋮ On Van der Corput-type lemmas for Bessel and Airy transforms and applications

Cites Work

• Numerical approximations to integrals with a highly oscillatory Bessel kernel
• A high order, progressive method for the evaluation of irregular oscillatory integrals
• Asymptotic expansions of Bessel, Anger and Weber transformations
• Modified Clenshaw-Curtis method for the computation of Bessel function integrals
• On quadrature of Bessel transformations
• On evaluation of Bessel transforms with oscillatory and algebraic singular integrands
• On the evaluation of Bessel transformations with the oscillators via asymptotic series of Whittaker functions
• The superconvergence of Newton-Cotes rules for the Hadamard finite-part integral on an interval
• Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications
• A Method for the Numerical Evaluation of Finite Integrals of Oscillatory Functions
• A Sparse Discretization for Integral Equation Formulations of High Frequency Scattering Problems
• Procedures for Computing One- and Two-Dimensional Integrals of Functions with Rapid Irregular Oscillations
• Stability and Convergence of Collocation Schemes for Retarded Potential Integral Equations
• Efficient quadrature of highly oscillatory integrals using derivatives
• Is Gauss Quadrature Better than Clenshaw–Curtis?
• A Fast Algorithm for the Electromagnetic Scattering from a Large Cavity
• Gaussian Quadrature Formulas for the Evaluation of Fourier‐Cosine Coefficients
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Numerical evaluation of highly oscillatory Bessel transforms