Hongchao Kang

Publication Activity (10 Years)

Years Active: 2010-2024
Publications (10 Years): 19

Top Topics

Integral Equation

Special Features

Top Venues

J. Comput. Appl. Math.

Appl. Math. Comput.

J. Sci. Comput.

Math. Comput. Simul.

Publications

Hongchao Kang, Qi Xu, Guidong Liu
Fast numerical integration of highly oscillatory Bessel transforms with a Cauchy type singular point and exotic oscillators. Adv. Comput. Math. 50 (3) (2024)
Hongchao Kang, Meijuan Zhang
Erratum to "Numerical evaluation and analysis of highly oscillatory singular Bessel transforms with a particular oscillator" [J. Comput. Appl. Math. 420 (2023) 114835]. J. Comput. Appl. Math. 436 (2024)
Qi Xu, Hongchao Kang, Yujing Zhou
Efficient computational methods of highly oscillatory Bessel transforms with a singular point of Cauchy type and a nonlinear special oscillator. Commun. Nonlinear Sci. Numer. Simul. 130 (2024)
Hong Wang, Hongchao Kang, Junjie Ma
An efficient and accurate numerical method for the Bessel transform with an irregular oscillator and its error analysis. Appl. Math. Comput. 473 (2024)
Hongchao Kang, Qi Xu
Quadrature formulae of many highly oscillatory Fourier-type integrals with algebraic or logarithmic singularities and their error analysis. Appl. Math. Comput. 442 (2023)
Hongchao Kang, Ruoxia Wang, Meijuan Zhang, Chunzhi Xiang
Efficient computation of oscillatory Bessel transforms with a singularity of Cauchy type. J. Comput. Appl. Math. 429 (2023)
Hongchao Kang, Meijuan Zhang
Numerical evaluation and analysis of highly oscillatory singular Bessel transforms with a particular oscillator. J. Comput. Appl. Math. 420 (2023)
Hongchao Kang, Hong Wang
An Efficient Quadrature Rule for the Oscillatory Infinite Generalized Bessel Transform with a General Oscillator and Its Error Analysis. J. Sci. Comput. 94 (1) (2023)
Hongchao Kang, Ruoxia Wang, Meijuan Zhang, Chunzhi Xiang
Efficient and accurate quadrature methods of Fourier integrals with a special oscillator and weak singularities. Appl. Math. Comput. 440 (2023)
Bin Li, Hongchao Kang, Songliang Chen, Shanjing Ren
On the approximation of highly oscillatory Volterra integral equations of the first kind via Laplace transform. Math. Comput. Simul. 214 (2023)
Hongchao Kang, Meijuan Zhang, Ruoxia Wang
Numerical methods for Cauchy principal value integrals of oscillatory Bessel functions. J. Comput. Appl. Math. 410 (2022)
Hongchao Kang, Chunzhi Xiang, Zhenhua Xu, Hong Wang
Efficient quadrature rules for the singularly oscillatory Bessel transforms and their error analysis. Numer. Algorithms 88 (3) (2021)
Hongchao Kang, Hong Wang
Asymptotic Analysis and Numerical Methods for Oscillatory Infinite Generalized Bessel Transforms with an Irregular Oscillator. J. Sci. Comput. 82 (2) (2020)
Hong Wang, Hongchao Kang
Numerical methods for two classes of singularly oscillatory Bessel transforms and their error analysis. J. Comput. Appl. Math. 371 (2020)
Hongchao Kang
Efficient calculation and asymptotic expansions of many different oscillatory infinite integrals. Appl. Math. Comput. 346 (2019)
Hongchao Kang
Numerical integration of oscillatory Airy integrals with singularities on an infinite interval. J. Comput. Appl. Math. 333 (2018)
Hongchao Kang, Congpei An
Erratum to 'Differentiation formulas of some hypergeometric functions with respect to all parameters' [Applied Mathematics and Computation, 258 (2015) 454-464]. Appl. Math. Comput. 273 (2016)
Hongchao Kang, Chen Ling
Computation of integrals with oscillatory singular factors of algebraic and logarithmic type. J. Comput. Appl. Math. 285 (2015)
Hongchao Kang, Congpei An
Differentiation formulas of some hypergeometric functions with respect to all parameters. Appl. Math. Comput. 258 (2015)
Hongchao Kang, Shuhuang Xiang
Efficient quadrature of highly oscillatory integrals with algebraic singularities. J. Comput. Appl. Math. 237 (1) (2013)
Junjie Ma, Shuhuang Xiang, Hongchao Kang
On the convergence rates of Filon methods for the solution of a Volterra integral equation with a highly oscillatory Bessel kernel. Appl. Math. Lett. 26 (7) (2013)
Hongchao Kang, Shuhuang Xiang, Guo He
Computation of integrals with oscillatory and singular integrands using Chebyshev expansions. J. Comput. Appl. Math. 242 (2013)
Hongchao Kang, Shuhuang Xiang
Efficient integration for a class of highly oscillatory integrals. Appl. Math. Comput. 218 (7) (2011)
Hongchao Kang, Shuhuang Xiang
On the calculation of highly oscillatory integrals with an algebraic singularity. Appl. Math. Comput. 217 (8) (2010)