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Personal information
Name: Hongchao Kang
Office: Room 412, 6th BuildingSouth, Hangzhou Dianzi Campus, Xiasha, Hangzhou
Current occupation: School of Science,Hangzhou Dianzi University
Telephone: (86)-571-86878594
E-Mail: khc@hdu.edu.cn
EDUCATION
Sep. 2003-Jul. 2007, B.S. in Science,School of Mathematical Science, Liaocheng University, P. R. China
Sep. 2007-Dec. 2012, Ph.D. in Science,School of Mathematics and Statistics, Central South University, P. R.China
Professional Working Experience
Jan. 2013-Dec. 2015, Lecture, School ofScience, Hangzhou Dianzi University, Hangzhou, P. R. China
Jan. 2016-present, Associate Professor,School of Science, Hangzhou Dianzi University, Hangzhou, P. R. China
RESEARCH INTEREST
● Numericalmethods for highly oscillatory problems:
Highlyoscillatory integrals in one or more dimensions, their theory,
asymptoticexpansion and quadrature methods;
Highlyoscillatory integral equations and their numerical solution;
Highlyoscillatory ODE, PDE, and their numerical solution
● Numerical methods for specialfunction
Selected Publications
(1)H．Kang,H．Wang，AsymptoticAnalysis and Numerical Methods for Oscillatory Infinite GeneralizedBessel Transforms with an Irregular Oscillator, Journalof Scientific Computing 82 (2020) ，ArticleNumber: 29.
(2)H．Wang,H. Kang, Numerical methods for two classes of singularly oscillatoryBessel transforms and their error ****ysis, Journal of Computationaland Applied Mathematics 371 (2020) , Article Number: 112604. (通讯作者)
(3)J. Ma, H. Kang, Frequency-explicit convergence ****ysis ofcollocation methods for highly oscillatory Volterra integralequations with weak singularities, Applied Numerical Mathematics 151(2020), 1-12. (通讯作者)
(4)H. Kang, Efficient calculation and asymptotic expansions of manydifferent oscillatory infinite integrals, Applied Mathematics andComputation 346 (2019), 305-318.
(5)H. Kang, Numerical integration of oscillatory Airy integrals withsingularities on an infinite interval, Journal of Computational andApplied Mathematics, 333 (2018), 314-326.
(6)H. Kang, J. Ma, Quadraturerules and asymptotic expansions for two classes of oscillatory Besselintegrals with singularities of algebraic or logarithmic type,Applied Numerical Mathematics 118 (2017), 277-291.
(7)H. Kang, C. Ling, Computationof integrals with oscillatory singular factors of algebraic andlogarithmic type, Journal of Computational and AppliedMathematics, 285 (2015), 72-85.
(8)H. Kang, C. An, Differentiation formulas of some hypergeometricfunctions with respect to all parameters, Applied Mathematics andComputation, 258 (2015), 454-464.
(9)H. Kang, S. Xiang, G. He, Computation of integrals with oscillatoryand singular integrands using Chebyshev expansions, Journal ofComputational and Applied Mathematics, 242 (2013), 141-156.
(10)H. Kang, S. Xiang, Efficient quadrature of highly oscillatoryintegrals with algebraic singularities, Journal of Computational andApplied Mathematics, 237 (2013), 576-588.
SUPPORTING FUNDING
1.Efficient Numerical Methods for Highly Oscillatory Problems andApplications,
No.11301125, Year: 2014-2016,
NationalNatural Foundation of China, Youth Program, P. R. China
2.Numerical Analysis for Several Kinds of Highly Oscillatory Singularor Infinite Integrals and Related Integral Equations,
No.LY18A010009, Year: 2018-2020,
NaturalFoundation of Zhejiang Province, General Project, P. R. China