Efficient computational methods of highly oscillatory Bessel transforms with a singular point of Cauchy type and a nonlinear special oscillator

DOI10.1016/j.cnsns.2023.107795OpenAlexW4390115721MaRDI QIDQ6143091

Yujing Zhou, Hongchao Kang, Qi Xu

Publication date: 23 January 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2023.107795

zbMATH Keywords

error analysisBessel functionsoscillatory integralscomplex integration methodtwo-point Taylor interpolation methodsingular point of Cauchy type

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical approximations to integrals with a highly oscillatory Bessel kernel
• A practical algorithm for computing Cauchy principal value integrals of oscillatory functions
• An improved algorithm for the evaluation of Cauchy principal value integrals of oscillatory functions and its application
• Evaluation of Cauchy principal value integrals of oscillatory kind
• Efficient method for the computation of oscillatory Bessel transform and Bessel Hilbert transform
• On uniform approximations to hypersingular finite-part integrals
• Numerical quadrature for Bessel transformations
• On the evaluation of Cauchy principal value integrals of oscillatory functions
• Numerical analysis of a fast integration method for highly oscillatory functions
• Uniform approximations to Cauchy principal value integrals of oscillatory functions
• Modified Clenshaw-Curtis method for the computation of Bessel function integrals
• Fast integration for Cauchy principal value integrals of oscillatory kind
• A well-conditioned and efficient Levin method for highly oscillatory integrals with compactly supported radial basis functions
• Uniform approximation to finite Hilbert transform of oscillatory functions and its algorithm
• Approximation of Cauchy-type singular integrals with high frequency Fourier kernel
• Efficient numerical methods for Cauchy principal value integrals with highly oscillatory integrands
• Numerical methods for Cauchy principal value integrals of oscillatory Bessel functions
• On the evaluation of highly oscillatory integrals with high frequency
• Numerical evaluation and error analysis of many different oscillatory Bessel transforms via confluent hypergeometric function
• Efficient evaluation of oscillatory Bessel Hilbert transforms
• A unified framework for asymptotic analysis and computation of finite Hankel transform
• Approximation of highly oscillatory integrals containing special functions
• On the evaluation of Bessel transformations with the oscillators via asymptotic series of Whittaker functions
• Erratum to "Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications" (IMA Journal of Numerical Analysis (2011)31: 1281-1314)
• Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications
• A Sparse Discretization for Integral Equation Formulations of High Frequency Scattering Problems
• Fast integration of highly oscillatory integrals with exotic oscillators
• Quadrature Formulae for Cauchy Principal Value Integrals of Oscillatory Kind
• A Fast Algorithm for the Electromagnetic Scattering from a Large Cavity
• Approximation of oscillatory Bessel integral transforms
• Efficient computation of oscillatory Bessel transforms with a singularity of Cauchy type

This page was built for publication: Efficient computational methods of highly oscillatory Bessel transforms with a singular point of Cauchy type and a nonlinear special oscillator