Huan Lei
Assistant Professor, Department of Computational Mathematics, Science and Engineering
Assistant Professor, Department of Statistics & Probability
Location: 1501 Engineering Bldg
Phone: 517-884-8947
Email: leihuan@msu.edu
Website: https://leihuan-mp.github.io/
Bio
My research interests lie in applied mathematics and scientific computing, in particular, multi-scale modeling with applications to fluid physics, materials science, and biophysics. The research goal is to establish accurate modeling of multi-scale systems relevant to meso-scale transport, non-Newtonian hydrodynamics, and kinetic transport processes arising from various science and engineering applications. For such problems, the multi-scale and high-dimensional nature imposes a fundamental challenge; empirical models based on ad-hoc closure assumptions often show limitations. My group is devoted to constructing machine-learning based models for such systems directly from the first-principle-based descriptions. In particular, we focus on developing numerical methods to learn reliable and numerically-stable models that faithfully entail the micro-scale interactions, retain physical interpretation, and respect physical constraints. The long-term goal is to achieve predictive modeling of these multi-scale systems beyond phenomenologically understanding and establish integrated control across multiple scales. ###Education Ph. D. 2012, Applied Mathematics, Brown University - Advisor: George Karniadakis B.S. 2005, Special Class for the Gifted Young, Univ. of Science & Technology of China ###Professional Appointment Post-doctoral Associate, Brown University (2012 -2013) Post-doctoral Associate, Pacific Northwest National Laboratory (2013 -2015) Scientist, Pacific Northwest National Laboratory (2015 -2019) ###Research Interests Multiscale modeling, Stochastic modeling, Scientific machine-learning, Fluid physics ###Openings My group is recruiting Ph.D. students, Postdocs, and Visiting students; [more info](https://leihuan-mp.github.io/position/). If you are interested, please contact me by email.
Selected Publications
- H. Lei and X. Li. Petrov–Galerkin Methods for the Construction of non-Markovian Dynamics Preserving Nonlocal Statistics. *J. Chem. Phys.* 154 (18): 184108, 2021
- H. Lei, L. Wu, and W. E. Machine Learning Based non-Newtonian Fluid Model with Molecular Fidelity. *Phys. Rev. E* 102: 043309, 2020
- H. Lei, N. A. Baker, and X. Li. Data-Driven Parameterization of the Generalized Langevin Equation. *Proc. Natl. Acad. Sci.* 113 (50): 14183–14188, 2016
- H.Lei and G. E. Karniadakis. Probing Vasoocclusion Phenomena in Sickle Cell Anemia via Mesoscopic Simulations. *Proc. Natl. Acad. Sci.* 110 (28): 11326–30, 2013
- L. Fang , P. Ge, L. Zhang, W. E, and H. Lei. DeePN2: A Deep Learning-Based non-Newtonian Hydrodynamic Model. *Journal of Machine Learning* 1: 114–140, 2022