Photo of Zhen Chen

Zhen Chen

Department of Mathematics, Dartmouth College
Address: 27 N Main St, Kemeny 334, Hanover, NH 03755
E-mail: zhen.chen@dartmouth.edu

Employment

Education

Research

Publications

  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

Preprints and Preparation

  1. Z. Zhou, Z. Chen and D. Xiu, Deep Learning of Model Correction via Flow Map, submitted, 2021.

  2. V. Churchill, S. Manns, Z. Chen and D. Xiu, Robust Modeling of Unknown Dynamical System via Ensemble Averaged Learning, submitted, 2022.

Teaching

As teaching associate in The Ohio State University.