1. Multiscale method and computation

2. Scientific Machine Learning

Ph.D, Texas A&M University, 2008

2018/01-present School of Mathematical Sciences, Tongji University, Professor

2013/02-2017/12 Institute of Mathematics, Hunan University, Professor

2008/09-2010/08 IMA, University of Minnesota, Postdoctoral fellow

**Some works in recent 3 years :**

Mengnan Li and

**Lijian Jiang***, Deep learning nonlinear multiscale dynamic problems using Koopman operator,*Journal of Computational Physics*, 446 (2021), 110660.Yuming Ba and

**Lijian Jiang***, A two-stage variable-separation Kalman filter for data assimilation,*Journal of Computational Physics*, 434 (2021), 110244.Xiaoyan Song, Guang-hui Zheng,

**Lijian Jiang***, Variational Bayesian inversion for the reaction coefficient in space-time nonlocal diffusion equations,*Advances in Computational Mathematics*, 47 (2021)，31**Lijian Jiang**, Lingling Ma*, A hybrid model reduction method for stochastic parabolic optimal control problems，*Computer Methods in Applied Mechanics and Engineerin**g*, 370 (2020), 113244.**Lijian Jiang***, Mengnan Li, Model reduction for nonlinear multiscale parabolic problems using dynamic mode decomposition,*International Journal for Numerical Methods in Engineering*, 121 (2020), pp. 3680-3701.Na Ou, Guang Lin and

**Lijian Jiang***, A low-rank approximated multiscale method for PDEs with random coefficients,*Multiscale Modeling and Simulation*, 18（2020），pp. 1595-1620.Mengnan Li, Eric Chung and

**Lijian Jiang***, A constraint energy minimizing generalized multiscale finite element method for parabolic equations,*Multiscale Modeling and Simulation*, 17 (2019), pp.996-1018.Fuchen Chen, Eric Chung,

**Lijian Jiang***, Adaptive least-squares mixed generalized multiscale finite element methods,*Multiscale Modeling and Simulation*, 16 (2018), pp. 1034-1058.Yuming Ba,

**Lijian Jiang***, Na Ou, A two-stage ensemble Kalman filter based on multiscale model reduction for inverse problems in time fractional diffusion-wave equations,*Journal of Computational Physics*, 374 (2018), pp. 300-330.-
Qiuqi Li and

**Lijian Jiang***, A novel variable-separation method based on sparse representation for stochastic partial differential equations,*SIAM Journal on Scientific Computing*, 39 (2017), pp. A2879-2910.

科研项目：

**Granted projects in progress:**

1. Stochastic multiscale model reduction and its applications, NSFC, PI.

2. Bayesian uncertainty quantification for random porous media models, NSFC, PI

**Editorial Service**

Associate Editor: Journal of Computational and Applied Mathematics

Associate Editor: Journal on Numerical Methods and Computer Applications

(数值计算与计算机应用)Associate Editor: Journal of Computational Mathematics and Data Science

I am looking for graduate students (master and Ph.D) to join our research group. Senior undergraduate students are also welcome. Our research attempts to develop, analyze and implement **novel numerical methods**, **statistical methods** and **machine learning** for **multiscale models and stochastic models**, and investigates their applications in applied sciences and engineering. Interdisciplinary research is our preference. Research assistanceship is provided.