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工作经历
2026.03 -- 至今 华南理工大学 教授
2020.01 -- 2026.02 山东大学 教授
2018.09 -- 2019.12 新加坡国立大学 博士后
2016.09 -- 2018.08 昆士兰科技大学 博士后
2014.08 -- 2016.08 布朗大学 博士后
教育背景
2001.09 -- 2005.07 西北工业大学 信息与计算科学 理学学士学位
2006.09 -- 2010.06上海大学 计算数学 理学硕士学位
2010.09 -- 2014.06上海大学 计算数学 理学博士学位
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谱方法,非局部模型的快速计算方法,机器学习
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代表论文
Y. Duan, F. Zeng, H. Zhang, T. Zhou, Fast computation of the fractional power of a matrix, SISC, 2026.
H. Zhang, F. Zeng*, X. Jiang, Z. Zhang, Fast time-stepping discontinuous Galerkin method for the subdiffusion equation, IMAJNA, 2025.
Y. Huang, Q. Li, R. Li, F. Zeng*, L. Guo, A unified fast memory-saving time-stepping method for fractional operators and its applications, Numer. Math. Theory Methods Appl., 2022.
Y. Yang, L. Wang, F. Zeng, Analysis of a backward Euler-type scheme for Maxwell's equations in a Havriliak-Negami dispersive medium, ESAIM Math. Model. Numer. Anal., 2021.
H. Zhang, X. Jiang, F. Zeng*, An H1 convergence of the spectral method for the time-fractional non-linear diffusion equations, Adv. Comput. Math, 2021.
H. Zhang, X. Jiang*, F. Zeng*, G. Karniadakis, A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations, JCP, 2020.
L. Guo, F. Zeng∗, I. Turner, K. Burrage, G. Karniadakis, Efficient multistep methods for tempered fractional calculus: Algorithms and simulations, SISC, 2019.
F. Zeng, I. Turner, K. Burrage, S. J. Wright, A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations, JCP, 2019
F. Zeng*, I. Turner, K. Burrage, A stable fast time-stepping method for fractional integral and derivative operators, JSC, 2018.
F. Zeng, I. Turner, K. Burrage, G. Karniadakis, A new class of semi-implicit methods with linear complexity for nonlinear fractional differential equations, SISC, 2018.
F. Zeng, Z. Zhang, G. Karniadakis, Second-order numerical methods for multi-term fractional differential equations: Smooth and non-smooth solutions, CMAME, 2017.
X. Chen, F. Zeng, G. Karniadakis, A tunable finite difference method for fractional differential equations with non-smooth solutions, CMAME, 2017.
F. Zeng, Z. Mao, G. Karniadakis, A generalized spectral collocation method with tunable accuracy for fractional differential equations with end-point singularities, SISC, 2017.
W. Cao, F. Zeng, Z. Zhang, G.Karniadakis, Implicit-explicit difference schemes for nonlinear fractional differential equations with non-smooth solutions, SISC, 2016.
F. Zeng, Z. Zhang, G. Karniadakis, Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations, JCP, 2016.
F. Zeng, C. Li, F. Liu, I. Turner, Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy, SISC, 2015.
F. Zeng, Z. Zhang, G. Karniadakis, A generalized spectral collocation method with tunable accuracy for variable-order fractional differential equations, SISC, 2015.
F. Zeng, Second-order stable finite difference schemes for the time-fractional diffusion-wave equation, JSC, 2015.
Z. Zhang, F. Zeng, G. Karniadakis, Optimal error estimates for spectral Petrov–Galerkin and collocation methods for initial value problems for fractional differential equations, SINUM, 2015.
F. Zeng, F. Liu, C. Li, K. Burrage, I. Turner, V. Anh, A Crank–Nicolson ADI spectral method for the two-dimensional Riesz space fractional nonlinear reaction-diffusion equation, SINUM, 2014.
F. Zeng, C. Li, F. Liu, I. Turner, The use of finite difference/element approaches for solving the time-fractional subdiffusion equation, SISC, 2013.
C. Li, F. Zeng, F. Liu, Spectral approximations to the fractional integral and derivative, Fract. Calc. Appl. Anal., 2012.
C. Li, F. Zeng, Numerical Methods for Fractional Calculus, Chapman and Hall/CRC, 2015.
科研项目
国家自然科学基金面上项目,2022.01-2025.12,51万。
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电子邮箱: fanhaizeng@scut.edu.cn
办公室:4216
