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张根根

2022-03-22    点击:[]

2B5C4

教师姓名:张根根

职称:副教授

系所:数学系

研究方向:微分方程数值方法

研究兴趣Hamilton系统保结构算法、时滞微分方程的动力学分析及高效算法等

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(国家重点学科),博士

2010.09-2013.06 湘潭大学数学与计算科学学院,计算数学专业(国家重点学科),硕士

2004.09-2008.06 九江学院理学院,数学与应用专业,学士

工作经历

2021.12-至 今 澳门太阳集团城网址55,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广西师范大学澳门太阳集团城网址55,讲师

代表性学术论著

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

[2]G.G. Zhang*, Time splitting combined with exponential wave integrator Fourier pseudospectral method for quantum Zakharov system, Discrete and Continuous Dynamical Systems Series B, doi:10.3934/dcdsb.2021149, 2021.

[3]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(2021), 569-590.

[4]G.G. Zhang*, X.Dai,Superconvergence of discontinuous Galerkin methods for neutral delay differential equations, International Journal of Computer Mathematics, 98:8, (2021)1648-1662.

[5]G.G. Zhang*, Two conservative linearly-implicit compact difference schemes for the nonlinear fourth-order wave equation, Applied Mathematics and Computation,2021,401:126055.

[6]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(2020),105132.

[7]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 (2019) 1293-1303.

[8]G.G.Zhang*,A.G. Xiao,J. Zhou, Implicit-explicit multistep finite element methods for nonlinear convection-diffusion-reaction equations with time delay,International Journal of Computer Mathematics,2018,95(12)2496-2510.

[9]G.G.Zhang,A.G.Xiao,W.S.Wang*,The asymptotic behaviour of theθ-methods with constant stepsize for the generalized pantograph equation. International Journal of Computer Mathematics,2016,93(9)1484-1504.

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

[11]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,2016,93(11):1964-1983.

[12]A.G. Xiao*,G.G. Zhang, J. Zhou, Implicit-explicit time discretization coupled with finite element methods for delayed predator-prey competition reaction-diffusion system. Computers & Mathematics with Applications, 2016, 71(10):2106-2123.

[13]A.G. Xiao*,G.G. Zhang, X. Yi, Two classes of implicit-explicit multistep methods for nonlinear stiff initial-value problems, Applied Mathematics and Computation,2014, 247:47-60.

[14]Q.A. Huang,G.G. Zhang, B. Wu*, Fully-discrete energy-preserving scheme for the space-fractional Klein-Gordon equation via Lagrange multiplier type scalar auxiliary variable approach, Mathematics and Computers in Simulation,192 (2022) 265-277.

代表性教学科研项目

[1]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,2018/01-2020/12,25万元,主持。

[2]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,2020/11-2021/9,8万元,主持。

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