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Fast numerical integration of highly oscillatory Bessel transforms with a Cauchy type singular point and exotic oscillators

Advances in computational mathematics, 2024-06, Vol.50 (3), Article 40

2024

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Efficient calculation and asymptotic expansions of many different oscillatory infinite integrals

Applied mathematics and computation, 2019-04, Vol.346, p.305-318

Kang, Hongchao

2019

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Numerical integration of oscillatory Airy integrals with singularities on an infinite interval

Journal of computational and applied mathematics, 2018-05, Vol.333, p.314-326

Kang, Hongchao

2018

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Fast Computation of Singular Oscillatory Fourier Transforms

Abstract and Applied Analysis, 2014-01, Vol.2014 (2014), p.1149-1156

2014

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On the calculation of highly oscillatory integrals with an algebraic singularity

Applied mathematics and computation, 2010-12, Vol.217 (8), p.3890-3897

2010

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Numerical evaluation and analysis of highly oscillatory singular Bessel transforms with a particular oscillator

Journal of computational and applied mathematics, 2023-03, Vol.420, p.114835, Article 114835

2023

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Erratum to “Numerical evaluation and analysis of highly oscillatory singular Bessel transforms with a particular oscillator” [J. Comput. Appl. Math. 420 (2023) 114835]

Journal of computational and applied mathematics, 2024-01, Vol.436, p.115381, Article 115381

2024

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Quadrature formulae of many highly oscillatory Fourier-type integrals with algebraic or logarithmic singularities and their error analysis

Applied mathematics and computation, 2023-04, Vol.442, p.127758, Article 127758

2023

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An Efficient Quadrature Rule for the Oscillatory Infinite Generalized Bessel Transform with a General Oscillator and Its Error Analysis

Journal of scientific computing, 2023, Vol.94 (1), p.29, Article 29

2023

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Numerical methods for two classes of singularly oscillatory Bessel transforms and their error analysis

Journal of computational and applied mathematics, 2020-06, Vol.371, p.112604, Article 112604

2020

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Numerical evaluation and error analysis of many different oscillatory Bessel transforms via confluent hypergeometric function

Applied numerical mathematics, 2021-02, Vol.160, p.23-41

2021

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Frequency-explicit convergence analysis of collocation methods for highly oscillatory Volterra integral equations with weak singularities

Applied numerical mathematics, 2020-05, Vol.151, p.1-12

2020

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An efficient and accurate numerical method for the Bessel transform with an irregular oscillator and its error analysis

Applied mathematics and computation, 2024-07, Vol.473, p.128671, Article 128671

2024

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Asymptotic Analysis and Numerical Methods for Oscillatory Infinite Generalized Bessel Transforms with an Irregular Oscillator

Journal of scientific computing, 2020-02, Vol.82 (2), p.29, Article 29

2020

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Computation of integrals with oscillatory singular factors of algebraic and logarithmic type

Journal of computational and applied mathematics, 2015-09, Vol.285, p.72-85

2015

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

Communications in nonlinear science & numerical simulation, 2024-03, Vol.130, p.107795, Article 107795

2024

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Numerical methods for Cauchy principal value integrals of oscillatory Bessel functions

Journal of computational and applied mathematics, 2022-08, Vol.410, p.114216, Article 114216

2022

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Quadrature rules and asymptotic expansions for two classes of oscillatory Bessel integrals with singularities of algebraic or logarithmic type

Applied numerical mathematics, 2017-08, Vol.118, p.277-291

2017

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Differentiation formulas of some hypergeometric functions with respect to all parameters

Applied mathematics and computation, 2015-05, Vol.258, p.454-464

2015

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Efficient computation of oscillatory Bessel transforms with a singularity of Cauchy type

Journal of computational and applied mathematics, 2023-09, Vol.429, p.115220, Article 115220

2023

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Efficient and accurate quadrature methods of Fourier integrals with a special oscillator and weak singularities

Applied mathematics and computation, 2023-03, Vol.440, p.127492, Article 127492

2023

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Erratum to ‘Differentiation formulas of some hypergeometric functions with respect to all parameters’ [Applied Mathematics and Computation, 258 (2015) 454-464]

Applied mathematics and computation, 2016-01, Vol.273, p.1122-1122

2016

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On the approximation of highly oscillatory Volterra integral equations of the first kind via Laplace transform

Mathematics and computers in simulation, 2023-12, Vol.214, p.92-113

2023

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Efficient quadrature of highly oscillatory integrals with algebraic singularities

Journal of computational and applied mathematics, 2013-01, Vol.237 (1), p.576-588

2013

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Efficient integration for a class of highly oscillatory integrals

Applied mathematics and computation, 2011-12, Vol.218 (7), p.3553-3564

2011

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Fast numerical integration of highly oscillatory Bessel transforms with a Cauchy type singular point and exotic oscillators

Efficient calculation and asymptotic expansions of many different oscillatory infinite integrals

Numerical integration of oscillatory Airy integrals with singularities on an infinite interval

Fast Computation of Singular Oscillatory Fourier Transforms

On the calculation of highly oscillatory integrals with an algebraic singularity

Numerical evaluation and analysis of highly oscillatory singular Bessel transforms with a particular oscillator

Erratum to “Numerical evaluation and analysis of highly oscillatory singular Bessel transforms with a particular oscillator” [J. Comput. Appl. Math. 420 (2023) 114835]

Quadrature formulae of many highly oscillatory Fourier-type integrals with algebraic or logarithmic singularities and their error analysis

An Efficient Quadrature Rule for the Oscillatory Infinite Generalized Bessel Transform with a General Oscillator and Its Error Analysis

Numerical methods for two classes of singularly oscillatory Bessel transforms and their error analysis

Numerical evaluation and error analysis of many different oscillatory Bessel transforms via confluent hypergeometric function

Frequency-explicit convergence analysis of collocation methods for highly oscillatory Volterra integral equations with weak singularities

An efficient and accurate numerical method for the Bessel transform with an irregular oscillator and its error analysis

Asymptotic Analysis and Numerical Methods for Oscillatory Infinite Generalized Bessel Transforms with an Irregular Oscillator

Computation of integrals with oscillatory singular factors of algebraic and logarithmic type

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

Numerical methods for Cauchy principal value integrals of oscillatory Bessel functions

Quadrature rules and asymptotic expansions for two classes of oscillatory Bessel integrals with singularities of algebraic or logarithmic type

Differentiation formulas of some hypergeometric functions with respect to all parameters

Efficient computation of oscillatory Bessel transforms with a singularity of Cauchy type

Efficient and accurate quadrature methods of Fourier integrals with a special oscillator and weak singularities

Erratum to ‘Differentiation formulas of some hypergeometric functions with respect to all parameters’ [Applied Mathematics and Computation, 258 (2015) 454-464]

On the approximation of highly oscillatory Volterra integral equations of the first kind via Laplace transform

Efficient quadrature of highly oscillatory integrals with algebraic singularities

Efficient integration for a class of highly oscillatory integrals

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