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个人简介

计算数学专业博士,主要从事高振荡(奇异)积分、积分方程、微分方程的理论与计算研究。高振荡(奇异)积分、积分方程、微分方程广泛出现在科学与工程计算的各个领域。主持并已结题国家自然科学基金项目一项,主持在研浙江省自然科学基金一般项目一项,参与多项国家或省基金项目。以第一作者或通讯作者在国际主流SCI期刊已发表论文二十余篇(其中绝大部分论文在中科院SCI分区二区及以上)。 代表性科研项目 (1) 国家自然科学基金青年项目:高振荡问题的高效数值方法研究及应用 (No. 11301125), 2014.01-2016.12,主持 (2)浙江省自然科学基金一般项目:几类高振荡奇异或无穷积分及相关积分方程的数值分析 (No.LY18A010009), 2018.1-2020.12,主持

研究领域

高振荡(奇异)积分、积分\微分方程理论与数值解法以及相关特殊函数的计算

近期论文

查看导师最新文章 (温馨提示:请注意重名现象,建议点开原文通过作者单位确认)

(1) H.Kang, H.Wang,Asymptotic Analysis and Numerical Methods for Oscillatory Infinite Generalized Bessel Transforms with an Irregular Oscillator, Journal of Scientific Computing 82(2020) ,Article ID 29. (2) H.Wang, H. Kang, Numerical methods for two classes of singularly oscillatory Bessel transforms and their error analysis, Journal of Computational and Applied Mathematics 371 (2020) 112604. (通讯作者) (3) J. Ma, H. Kang, Frequency-explicit convergence analysis of collocation methods for highly oscillatory Volterra integral equations with weak singularities, Applied Numerical Mathematics 151 (2020), 1-12. (通讯作者) (4) H. Kang, Efficient calculation and asymptotic expansions of many different oscillatory infinite integrals, Applied Mathematics and Computation 346 (2019), 305-318. (5) H. Kang, Numerical integration of oscillatory Airy integrals with singularities on an infinite interval, Journal of Computational and Applied Mathematics, 333 (2018), 314-326. (6) H. Kang, J. Ma, Quadrature rules and asymptotic expansions for two classes of oscillatory Bessel integrals with singularities of algebraic or logarithmic type, Applied Numerical Mathematics 118 (2017), 277-291. (7) H. Kang, C. Ling, Computation of integrals with oscillatory singular factors of algebraic and logarithmic type, Journal of Computational and Applied Mathematics, 285 (2015), 72-85. (8) H. Kang, C. An, Differentiation formulas of some hypergeometric functions with respect to all parameters, Applied Mathematics and Computation, 258 (2015), 454-464. (9) H. Kang, S. Xiang, G. He, Computation of integrals with oscillatory and singular integrands using Chebyshev expansions, Journal of Computational and Applied Mathematics, 242 (2013), 141-156. (10) H. Kang, S. Xiang, Efficient quadrature of highly oscillatory integrals with algebraic singularities, Journal of Computational and Applied Mathematics, 237 (2013), 576-588.

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