Qr code
中文
Fanhai Zeng

Professor
Supervisor of Doctorate Candidates
Supervisor of Master's Candidates


Gender:Male
Alma Mater:上海大学
Education Level:With Certificate of Graduation for Doctorate Study
Degree:Doctor
Status:Employed
School/Department:数学学院
Date of Employment:2020-06-08
Business Address:知新楼 B座 909
Contact Information:fanhai_zeng@sdu.edu.cn
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Biography

曾凡海教授主要从事分数阶微积分理论及应用方面的研究,是国内外较早从事分数阶微积分领域研究的学者之一,在分数阶微积分建模,计算和应用等领域取得了一系列成果.曾凡海博士 2014 年毕业于上海大学计算数学专业, 接着在美国布朗大学应用数学系 (合作导师: George Em Karniadakis 教授), 澳大利亚昆士兰科技大学应用数学系(合作导师: Ian Turner 教授和 Kevin Burrage 教授)和新加坡国立大学数学系(合作导师:包维柱教授)博士后研究.到目前为止,已经在计算数学及应用数学主流期刊 SIAM J. Numer. Anal., SIAM J. Sci. Comput., J. Sci. Comput., Comput. Methods Appl. Mech. Engrg. J. Comput. Phys. 上发表论文 30 余篇, 2015 年合作出版专著一部, 2016 年获得上海市优秀博士论文奖, 论文 SCI 他引 1000 余次, 单篇论文引用高达到 200 余次, 成果被国内外知名学者引用与正面评价,包括 SIAM 科学计算的主编 Jan Hesthaven 教授,冯康科学计算奖获得者吴国宝教授等.目前研究领域包括谱方法及其应用,分数阶微积分的理论,数值算法及其应用.


基金

国家自然科学基金面上项目,2022.01-2025.12,51万。


代表论文

● 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.


详情请见  https://orcid.org/0000-0003-4507-1278  或者扫描二维码

 ORCID-Fanhai.png 

招生信息:每年招收博士研究生一名,硕士研究生两名。有意向的同学请发送简历到 fanhai_zeng@sdu.edu.cn 





Education

  • 2001.9 -- 2005.6

    西北工业大学       信息与计算科学       Bachelor's Degree in Science

  • 2006.9 -- 2010.6

    上海大学       计算数学       Master's Degree in Science

  • 2010.9 -- 2014.6

    上海大学       计算数学       Doctoral Degree in Science

Professional Experience

  • 2020.01 -- Now

    山东大学      数学学院

  • 2018.09 -- 2019.12

    新加坡国立大学

  • 2016.09 -- 2018.08

    昆士兰科技大学

  • 2014.08 -- 2016.08

    布朗大学