On the calculation of highly oscillatory integrals with an algebraic singularity. - Hongchao Kang; Shuhuang Xiang (Appl. Math. Comput., 2010)

Efficient integration for a class of highly oscillatory integrals. - Hongchao Kang; Shuhuang Xiang (Appl. Math. Comput., 2011)

On the convergence rates of Filon methods for the solution of a Volterra integral equation with a highly oscillatory Bessel kernel. - Junjie Ma 003; Shuhuang Xiang; Hongchao Kang (Appl. Math. Lett., 2013)

Efficient quadrature of highly oscillatory integrals with algebraic singularities. - Hongchao Kang; Shuhuang Xiang (J. Comput. Appl. Math., 2013)

Computation of integrals with oscillatory and singular integrands using Chebyshev expansions. - Hongchao Kang; Shuhuang Xiang; Guo He (J. Comput. Appl. Math., 2013)

Differentiation formulas of some hypergeometric functions with respect to all parameters. - Hongchao Kang; Congpei An (Appl. Math. Comput., 2015)

Computation of integrals with oscillatory singular factors of algebraic and logarithmic type. - Hongchao Kang; Chen Ling 001 (J. Comput. Appl. Math., 2015)

Erratum to 'Differentiation formulas of some hypergeometric functions with respect to all parameters' [Applied Mathematics and Computation, 258 (2015) 454-464]. - Hongchao Kang; Congpei An (Appl. Math. Comput., 2016)

Numerical integration of oscillatory Airy integrals with singularities on an infinite interval. - Hongchao Kang (J. Comput. Appl. Math., 2018)

Efficient calculation and asymptotic expansions of many different oscillatory infinite integrals. - Hongchao Kang (Appl. Math. Comput., 2019)

Numerical methods for two classes of singularly oscillatory Bessel transforms and their error analysis. - Hong Wang; Hongchao Kang (J. Comput. Appl. Math., 2020)

Asymptotic Analysis and Numerical Methods for Oscillatory Infinite Generalized Bessel Transforms with an Irregular Oscillator. - Hongchao Kang; Hong Wang (J. Sci. Comput., 2020)

Efficient quadrature rules for the singularly oscillatory Bessel transforms and their error analysis. - Hongchao Kang; Chunzhi Xiang; Zhenhua Xu; Hong Wang (Numer. Algorithms, 2021)

Numerical methods for Cauchy principal value integrals of oscillatory Bessel functions. - Hongchao Kang; Meijuan Zhang; Ruoxia Wang (J. Comput. Appl. Math., 2022)

Efficient and accurate quadrature methods of Fourier integrals with a special oscillator and weak singularities. - Hongchao Kang; Ruoxia Wang; Meijuan Zhang; Chunzhi Xiang (Appl. Math. Comput., 2023)

Quadrature formulae of many highly oscillatory Fourier-type integrals with algebraic or logarithmic singularities and their error analysis. - Hongchao Kang; Qi Xu (Appl. Math. Comput., 2023)

Efficient computation of oscillatory Bessel transforms with a singularity of Cauchy type. - Hongchao Kang; Ruoxia Wang; Meijuan Zhang; Chunzhi Xiang (J. Comput. Appl. Math., 2023)

Numerical evaluation and analysis of highly oscillatory singular Bessel transforms with a particular oscillator. - Hongchao Kang; Meijuan Zhang (J. Comput. Appl. Math., 2023)

An Efficient Quadrature Rule for the Oscillatory Infinite Generalized Bessel Transform with a General Oscillator and Its Error Analysis. - Hongchao Kang; Hong Wang (J. Sci. Comput., 2023)

On the approximation of highly oscillatory Volterra integral equations of the first kind via Laplace transform. - Bin Li; Hongchao Kang; Songliang Chen; Shanjing Ren (Math. Comput. Simul., 2023)

An efficient and accurate numerical method for the Bessel transform with an irregular oscillator and its error analysis. - Hong Wang; Hongchao Kang; Junjie Ma 003 (Appl. Math. Comput., 2024)

Erratum to "Numerical evaluation and analysis of highly oscillatory singular Bessel transforms with a particular oscillator" [J. Comput. Appl. Math. 420 (2023) 114835]. - Hongchao Kang; Meijuan Zhang (J. Comput. Appl. Math., 2024)

Efficient computational methods of highly oscillatory Bessel transforms with a singular point of Cauchy type and a nonlinear special oscillator. - Qi Xu; Hongchao Kang; Yujing Zhou (Commun. Nonlinear Sci. Numer. Simul., 2024)

Fast numerical integration of highly oscillatory Bessel transforms with a Cauchy type singular point and exotic oscillators. - Hongchao Kang; Qi Xu; Guidong Liu (Adv. Comput. Math., 2024)

Numerical methods of oscillatory Bessel transforms with algebraic and Cauchy singularities. - Yingying Jia; Hongchao Kang (Appl. Math. Comput., 2025)

Fast algorithms and analysis of oscillatory and weakly singular generalized Bessel transforms. - Hongchao Kang; Chunzhi Xiang; Guidong Liu; Ao Liu; Xinrui Hou (Appl. Math. Comput., 2025)