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张根根

2023-04-04    点击:[]



教师姓名:张根根

称:副教授

所:数学系

研究方向:微分方程数值方法

研究兴趣:动力系统保结构算法、随机微分方程高效算法等

电子邮件:zhanggen036@ynu.edu.cn

个人主页:https://www.researchgate.net/profile/Gengen-Zhang

教育背景:

2013.09-2016.06 湘潭大学数学与计算科学学院,计算数学专业,博士(计算数学国家重点学科、数学国家“双一流”建设学科)

工作经历:

2021.12-至 今 必赢76net线路,副教授

2019.08-2021.09 华南师范大学华南数学应用与交叉研究中心,博士后

2016.07-2019.08 广西师范大学必赢76net线路,讲师


代表性学术论著:

[1]G.G. Zhang,C. Su*, Uniform error bounds of a conservative compact finite difference method for the quantum Zakharov system in the subsonic limit regime, Journal of Computational Mathematics, accepted, 2022.

[2]G.G. Zhang, C. Jiang*,H. Huang, Arbitrarily high-order multiple invariants conserving methods for the Zakharov-Rubenchik equation, Journal of Scientific Computing, 94:32, 2023.

[3]Y. Fu, D. Hu, G.G. Zhang*, Arbitrary high-order exponential integrators conservative schemes for the nonlinear Gross-Pitaevskii equation, Computers & Mathematics with Applications, 121: 102-114, 2022.

[4]G.G. Zhang*, Time splitting combined with exponential wave integrator Fourier pseudospectral method for quantum Zakharov system, Discrete and Continuous Dynamical Systems Series B, 27(5):2587-2606, 2022.

[5]G.G. Zhang, C. Su*, A conservative linearly-implicit compact difference scheme for quantum Zakharov system, Journal of Scientific Computing, 87:71, 2021.

[6]B. Huang,A.G. Xiao,G.G. Zhang*, Implicit-explicit Runge-Kutta-Rosenbrock methods for the nonlinear stiff differential equations,Journal of Computational Mathematics, 39:569-590, 2021.

[7]G.G. Zhang*, R.Zhu, Runge-Kutta convolution quadrature methods with convergence and stability analysis for nonlinear singular fractional integro-differential equations, Communications in Nonlinear Science and Numerical Simulation, 84:105132, 2020.

[8]G.G.Zhang*,G. He,X. Dai, Stability analysis of discontinuous Galerkin method for stiff Volterra functional differential equations,Journal of Mathematical Analysis and Applications,475:1293-1303, 2019.

[9]G.G. Zhang, A.G. Xiao*, Exact and numerical stability analysis of reaction-diffusion equations with distributed delay, Frontiers of Mathematics in China,11(1):189-205,2016.

[10]G.G. Zhang, A.G. Xiao*, Stability and convergence analysis of implicit-explicit one-leg methods for stiff delay differential equations, International Journal of Computer Mathematics,93(11):1964-1983,2016.


代表性教学科研项目:

[1] 国家自然科学基金地区项目,12261103,量子Zakharov方程的高精度算法及其理论分析,2023/01-2026/12,主持。

[2] 云南省基础研究专项-面上项目,202201AT070243,等离子体中几类方程的动力学数学理论及其保结构算法,2023/01-2025/12,主持。

[3] 国家自然科学基金青年项目,11701110,时滞发展型微分方程的高效隐显方法,2018/01-2020/12,主持。

[4] 中国博士后科学基金第68批面上资助2020M682746,具有量子效应Zakharov系统的动力学分析及高效算法,2020/11-2021/9,主持。

[5] 科学工程计算与数值仿真湖南省重点实验室开放课题,时滞薛定谔方程的动力学性质及Runge-Kutta方法,2023/01-2024/12,主持。

[6] 2022年入选云南省兴滇人才青年人才项目。


主要学术任职:

[1] 《美国数学评论》评论员(MR146429)


欢迎报考研究生!


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