Zhen Chen
E-mail: zhen.chen.math@gmail.com
Google Scholar
Employment
- Department of Mathematics, Dartmouth College
Research Associate, August 2021 - June 2023
Education
- The Ohio State University
Ph.D. in Mathematics, 2021
Advisor: Prof. Dongbin Xiu
- University of Wisconsin-Madison
M.A. in Mathematics, 2015
- Shanghai Jiao Tong University, P.R. China
B.S. in Mathematics and Applied Mathematics, 2014
Research
- Scientific Machine Learning
- Data-driven Modeling
- Uncertainty Quantification
Publications
- Z. Chen, A. Gelb and Y. Lee, Learning the Dynamics for Unknown Hyperbolic Conservation Laws Using Deep Neural Networks,
SIAM Journal on Scientific Computing 46 (2), A825-A850,
https://doi.org/10.1137/22M1537333
- V. Churchill, S. Manns, Z. Chen and D. Xiu, Robust Modeling of Unknown Dynamical System via Ensemble Averaged Learning,
Journal of Computational Physics, 2022,
https://doi.org/10.1016/j.jcp.2022.111842
- Z. Chen, V. Churchill, K. Wu and D. Xiu, Deep neural network modeling of unknown partial differential equations in nodal space,
Journal of Computational Physics, 2021,
https://doi.org/10.1016/j.jcp.2021.110782
- T. Qin, Z. Chen, J. Jakeman and D. Xiu, Data-driven learning of non-autonomous systems,
SIAM Journal on Scientific Computing, 2021,
https://doi.org/10.1137/20M1342859
- Z. Chen and D. Xiu, On generalized residue network for deep learning of unknown dynamical systems,
Journal of Computational Physics, 2021,
https://doi.org/10.1016/j.jcp.2021.110362
- T. Qin, Z. Chen, J. Jakeman and D. Xiu, Deep learning of parameterized equations with applications to uncertainty quantification,
International Journal for Uncertainty Quantification, 2020,
https://doi.org/10.1615/Int.J.UncertaintyQuantification.2020034123
- Z. Chen, K. Wu and D. Xiu, Methods to recover unknown processes in partial differential equations using data,
Journal of Scientific Computing, 85, 23 (2020),
https://doi.org/10.1007/s10915-020-01324-8
Teaching
As instructor in Dartmouth College
- MATH 8: Calculus of Functions of One and Several Variables, Fall 2022
- MATH 8: Calculus of Functions of One and Several Variables, Spring 2022
As teaching associate in The Ohio State University.
- MATH 1151: Calculus I, Spring 2020
- MATH 2568: Linear Algebra, Fall 2019