Projects per year
Personal profile
Personal profile
Dr. Ren Zhao holds a Ph.D. in Mathematics and a Masters degree in Mathematical Statistics from Wayne State University in the USA. He also received a B.Sc. degree in Information and Computing Science from Xian Jiaotong University.
Presently, Dr. Zhao serves as a Teaching Fellow at the Department of Foundational Mathematics at Xian Jiaotong-Liverpool University. Before his current position, he gained valuable research experience as a Postdoctoral Research Fellow at Harbin Institute of Technology Shenzhen in the School of Mechanical Engineering and Automation.
Dr. Zhaos research interests include various topics in applied mathematics such as Deep Learning for Partial Differential Equations, and Numerical Methods for Partial Differential Equations.
Research interests
Numerical Methods For PDEs
Deep Learning
Experience
2022 - present, Teaching Fellow, Department of Foundational Mathematics, Xian Jiaotong-Liverpool University
2019 - 2022, Postdoctoral Research Fellow, School of Mechanical Engineering and Automation, Harbin Institute of Technology Shenzhen
Teaching
MTH004 Multivariable Calculus (Business and Arts)
MTH019 Calculus for Business
MTH022 Mathematical and Statistical Models
MTH301 Final Year Project
Awards and honours
SURF Student-nominated Winner, Xian Jiaotong-Liverpool University, 2023
Award for Outstanding Achievement for Postdoctoral Research Fellow, Harbin Institute of Technology Shenzhen, 2021
Education/Academic qualification
Ph.D. in Mathematics, Wayne State University
M.A. in Mathematical Statistics, Wayne State University
B.Sc. in Information and Computing Science, Xi'an Jiaotong University
Person Types
- Staff
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Collaborations and top research areas from the last five years
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Projects
- 2 Active
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High accuracy particle in cell method for plasma simulation
1/01/23 → 31/12/25
Project: Internal Research Project
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Frontier Research on high accuracy numerical methods for plasma simulation
Zhao, R. & Guo, H.
1/01/23 → 31/12/24
Project: Governmental Research Project
Research output
- 15 Article
-
An immersed selective discontinuous Galerkin method in particle-in-cell simulation with adaptive Cartesian mesh and polynomial preserving recovery
Wu, S., Bai, J., He, X., Zhao, R. & Cao, Y., 1 Feb 2024, In: Journal of Computational Physics. 498, 112703.Research output: Contribution to journal › Article › peer-review
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Recovery based finite difference scheme on unstructured mesh
Zhao, R., Du, W., Shi, F. & Cao, Y., Jul 2022, In: Applied Mathematics Letters. 129, 107935.Research output: Contribution to journal › Article › peer-review
3 Citations (Scopus) -
Ultraconvergence of finite element method by Richardson extrapolation for elliptic problems with inhomogeneous boundary conditions
He, W., Zhao, R. & Cao, Y., Jan 2022, In: Numerical Methods for Partial Differential Equations. 38, 1, p. 33-47Research output: Contribution to journal › Article › peer-review
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Local ultraconvergence of finite element methods for second-order elliptic problems with singularity
He, W., Zhao, R., Li, G. & Li, W., May 2021, In: Numerical Methods for Partial Differential Equations. 37, 3, p. 2132-2149Research output: Contribution to journal › Article › peer-review
1 Citation (Scopus) -
Local ultraconvergence of quadratic element
He, W. & Zhao, R., Sept 2021, In: CALCOLO. 58, 3Research output: Contribution to journal › Article › peer-review
Activities
- 1 Completed SURF Project
-
Developing Numerical Algorithms for Partial Differential Equations Using Uniform Meshes
Ren Zhao (Supervisor)
19 Jun 2023 → 18 Aug 2023Activity: Supervision › Completed SURF Project