康洪朝 副教授

计算数学博士，主要从事高振荡(奇异)积分、积分方程、微分方程的数值方法构造与分析研究。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。主持或参与国家自然科学基金项目和浙江省自然科学基金多项。以第一作者或通讯作者在国际主流SCI期刊已发表论文三十余篇（其中绝大部分论文发表在中科院SCI分区二区及以上期刊）。在培养研究生方面，成效显著，指导研究生已发表10余篇SCI论文，指导研究生王虹获得浙江省优秀硕士学位毕业论文，指导多个研究生（王虹、项春芝、许奇、王箬夏等）到985、211等重点大学读博深造，多个研究生获得国家奖学金(王虹、张美娟等)，省级(王虹、张美娟等)、校级优秀硕士毕业生等荣誉，指导多个研究生入职华为(刘奥)、杭州头部中小学（张美娟）等重要单位。

高振荡(奇异)积分、积分方程、微分方程、特殊函数的理论分析与计算方法

主要教授课程：数学专业数学分析、分析选讲、高等数学等。

(1) 国家自然科学基金项目：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)国家自然科学基金重大研究计划, 92373117, 集成芯片电-热-力耦合过程建模与快速仿真方法研究, 2024-01-01 至 2026-12-31, 参与，排名第二

（3）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), 2018.01-2020.12，主持

（4）浙江省自然科学基金一般项目：若干高振荡(奇异)Bessel变换的分析与计算方法研究 (No.LY22A010002),2022-01至2024-12,主持

近五年以第一作者或通讯作者发表的部分SCI论文：

[1]Hongchao Kang, Ao Liu,  Wentao Cai, Efficient numerical methods of integrals

with products of two Bessel functions and their error analysis, BIT Numerical

Mathematics, 65 (2025), Article number: 1.

[2] Hongchao Kang,Qi Xu,Guidong Liu,Fast numerical integration of highly oscillatory Bessel transforms with a Cauchy type singular point and exotic oscillators,Advances in Computational Mathematics,(2024) 50:40.

[3] 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, Communications in Nonlinear Science and Numerical Simulation, 130 (2024) 107795. (通讯作者)

[4] Hongchao Kang, Hong Wang, An Efficient Quadrature Rule for the Osci llatory Infinite Generalized Bessel Transform with a General Oscillator and Its Error Analysis, Journal of Scientific Computing, 94 (2023), Article number: 29.

[5] Hongchao Kang, Hong Wang, Asymptotic Analysis and Numerical Methods for Oscillatory Infinite Generalized Bessel Transforms with an Irregular Oscillator, Journal of Scientific Computing, 82 (2020), Article number: 29.

[6] Hongchao Kang, Hong Wang, Numerical evaluation and error analysis of many different oscillatory Bessel transforms via confluent hypergeometric function, Applied Numerical Mathematics, 160 (2021), 23–41.

[7] Hongchao Kang, Ruoxia Wang, Meijuan Zhang, Chunzhi Xiang, Efficient computation of oscillatory Bessel transforms with a singularity of Cauchy type， Journal of Computational and Applied Mathematics, 429 (2023), Article number: 115220.

[8] Hongchao Kang, Meijuan Zhang, Numerical evaluation and analysis of highly oscillatory singular Bessel transforms with a particular oscillator, Journal of Computational and Applied Mathematics, 420 (2023), Article number: 114835.

[9] Hongchao Kang, Chunzhi Xiang, Zhenhua Xu, Hong Wang, Efficient quadrature rules for the singularly oscillatory Bessel transforms and their error analysis, Numerical Algorithms, 88 (2021), 1493–1521. 

[10] Hongchao Kang, Qi Xu, Quadrature formulae of many highly oscillatory Fourier-type integrals with algebraic or logarithmic singularities and their error analysis, Applied Mathematics and Computation, 442 (2023), Article number: 127758.

[11] Hongchao Kang, Ruoxia Wang , Meijuan Zhang, Chunzhi Xiang, Efficient and accurate quadrature methods of Fourier integrals with a special oscillator and weak singularities, Applied Mathematics and Computation, 440 (2023), Article number: 127492.

[12] 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, Communications in Nonlinear Science and Numerical Simulation, 130 (2024) 107795.  (通讯作者) 

[13] Hong Wang, Hongchao Kang, Junjie Ma, An Efficient and Accurate Numerical Method for the Bessel Transform with an Irregular Oscillator and Its Error Analysis, Applied Mathematics and Computation, 473 (2024), Article number: 128671.  (通讯作者)

[14] Hongchao Kang, Meijuan Zhang, Ruoxia Wang , Numerical methods for Cauchy principal value integrals of  oscillatory Bessel functions, Journal of Computational and Applied Mathematics,410 (2022), Article number: 114216.

[15] Hong Wang, Hongchao Kang, Numerical methods for two classes of singularly oscillatory Bessel transforms and their error analysis, Journal of Computational and Applied Mathematics, 371 (2020), Article number: 112604. (通讯作者)

[16] Junjie Ma, Hongchao 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)

[17] Hongchao Kang, Efficient calculation and asymptotic expansions of many different oscillatory infinite integrals, Applied Mathematics and Computation, 346 (2019), 305-318.

(1) 国家自然科学基金项目：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)国家自然科学基金重大研究计划, 92373117, 集成芯片电-热-力耦合过程建模与快速仿真方法研究, 2024-01-01 至 2026-12-31, 参与，排名第二

（3）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), 2018.01-2020.12，主持

（4）浙江省自然科学基金一般项目：若干高振荡(奇异)Bessel变换的分析与计算方法研究 (No.LY22A010002),2022-01至2024-12,主持

荣获浙江省优秀硕士学位论文指导教师称号。