Guozhi Dong   

Supervisor of Doctorate Candidates

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Language: 中文

Profile

Welcome to my homepage. 

Starting from 2025, there could be 1-2 open PhD positions in my group. The topics are applied and computational mathematics, with particular focus on numerical methods for partial differential equations and/or for inverse problems, optimal control and optimization, which can be quite flexible. If you are interested in the exploration of such topics, please email me with your CV including a brief research statement to guozhi.dong@csu.edu.cn


I am currently a tenure track associate professor at the School of Mathematics and Statistics, Central South University (CSU), Changsha.


Before joining CSU, I was a research scientist at  Humboldt University of Berlin from 2017--2022, and also affiliated with Weierstrass Institute in Berlin, working with Professor Michael Hintermüller. I was also a member of Berlin Mathematics Research Center,  which is one of the Excellence Cluster funded by Germany Science Fundation (DFG).


Between 2012--2017, I was a research asistant at the Computational Science Center, University of Vienna, where I earned my PhD degree (with distinction) under the supervision of Professor Otmar Scherzer. Earlier than that, I had been working as an assistant (secretary) on scientific affairs in the Faculty of Mathematics and Computer Sciences from 2007--2012 at Hunan Normal University, Changsha, China, where I obtained both my Bachelor degree (2007) and Master degree (2012). During 2010-2011, I had a chance to visit the University of Eastern Finland, Kuopio campus, where I was exposed to the topic of Inverse Problems for the first time.


Research experience

I have working experience in a few tightly connected areas in applied and computational mathematics: Inverse and imaging problems, their variational regularization methods, with connections to some dynamical geometric partial differential equations (PDEs); Optimal control of PDEs and optimization with PDE constraints; Numerical solutions of PDEs, particularly for second-order dissipative hyperbolic PDEs, and those solutions and data on manifolds; Mathematics of deep learning and their applications in scientific computing and imaging. My research results are published in international journals or conferences on computational and applied mathematics of highest quality.


Hobby

I always feel a lot of fun from sports, including many kinds of ball games, range from tiny, e.g., table tennis, to large, e.g., basketball, but not limitted to these. For instance, swiming, playing chess/cards, jogging, skating, music are also my hobbies. I like literature and poem. Sometimes, I write poems, but the frequency becomes less and less. I could have become a writer or a poet if I did not choose to be a mathematician. When I have time, I enjoy cooking for my family and friends as well.

Educational Background

  • 2017.9-2019.9  

    柏林洪堡大学       博士后

  • 2012.10-2017.3  

    维也纳大学       Mathematics       With Certificate of Graduation for Doctorate Study       Doctoral degree

  • 2009.4-2012.6  

    湖南师范大学       Natural Science       Master's degree       Master's degree

  • 2010.9-2011.3  

    东芬兰大学.       Natural Science       Master's degree completion

  • 2003.9-2007.6  

    湖南师范大学       Natural Science       Undergraduate (Bachelor’s degree)       Bachelor's degree

Work Experience

  • 2022.4-Now

    中南大学      数学与统计学院      在职

  • 2019.10-2021.12

    魏尔斯特拉斯研究所      第八组      助理研究员

  • 2017.9-2022.3

    柏林洪堡大学      数学学院      助理研究员

  • 2012.10-2017.8

    维也纳大学      数学学院      研究助理

  • 2007.7-2012.9

    湖南师范大学      科研与研究生办      (科研秘书)实习研究员

Research Group

Name of Research Group:

Computational models based on second-order hyperbolic PDEs and their numerical algorithms

Description of Research Group:

This is a new research direction which we have put efforts on. Thanks to my excellent collaborators and students, in particular Dr. Wei Liu and Mr. Haifan Chen, Mr. Zikang Gong, we find a lot of exciting problems to work on.

Name of Research Group:

Machine learning methods in inverse problems, optimal control of partial differential equations

Description of Research Group:

We combine the power of machine learning techeniques from modelling to computational aspects with classical methods in inverse problems and mathematical imaging, as well as optimal control of partial differential equations.

Name of Research Group:

Numerical methods for direct and inverse problems of PDEs on manifolds

Description of Research Group:

We develop numerical methods for partial differential equations defined on surfaces or general manifolds. Based on that, our experiences will be extended to variational problems, and inverse problems involving PDEs on manifolds.
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