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Zhen Chen

E-mail: zhen.chen.math@gmail.com

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Employment

Education

Research

Publications

  1. Z. Chen, A. Gelb and Y. Lee, Learning the Dynamics for Unknown Hyperbolic Conservation Laws Using Deep Neural Networks, SIAM Journal on Scientific Computing, 2023, accepted, to appear, https://arxiv.org/abs/2211.14375

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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 As teaching associate in The Ohio State University.