Research

Publication

1. Neural Network Based Variational Methods for Solving Quadratic Porous Medium Equations in High Dimensions

Min Wang, Jianfeng Lu

Communications in Mathematics and Statistics (submitted).

https://arxiv.org/abs/2205.02927

2. Nonlinear Reduced DNN Models for State Estimation

Wolfgang Dahmen, Min Wang, Zhu Wang

Communications in Computational Physics, 32 (2022), pp. 1-40

3. Mixed Generalized Multiscale Finite Element Method for Flow Problem in Thin Domains

Denis Spiridonov, Maria Vasilyeva, Min Wang, Eric T. Chung

Journal of Computational and Applied Mathematics 416, 114577

4. A learning-based projection method for model order reduction of transport problems

Zhichao Peng, Min Wang, Fengyan Li

Journal of Computational and Applied Mathematics 416, 114577.

5. A Priori Generalization Analysis of the Deep Ritz Method for Solving High Dimensional Elliptic Equations

Jianfeng Lu, Yulong Lu, Min Wang

Conference on Learning Theory. PMLR, 2021.

6. Reduced-order deep learning for flow dynamics. The interplay between deep learning and model reduction

Min Wang, Siu Wun Cheung, Wing Tat Leung, Eric T. Chung, Yalchin Efendiev, Mary Wheeler

Journal of Computational Physics 401 (2020): 108939.

7. Prediction of Discretization of GMsFEM using Deep Learning

Min Wang, Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Yating Wang

Mathematics 2019, 7(5), 412.

8. Generalized Multiscale Multicontinuum Model for Fractured Vuggy Carbonate Reservoirs

Min Wang, Siu Wun Cheung, Eric T. Chung, Maria Vasilyeva, Yuhe Wang

Journal of Computational & Applied Mathematics 366 (2020) 112370.

9. Deep Multiscale Model Learning

Yating Wang, Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev, Min Wang

Journal of Computational Physics (2019): 109071.

10. Generalized Multiscale Coupling of Triple-Continuum Model and Discrete Fracture Network for Carbonate Reservoir Simulation

Min Wang ,Chenji Wei , Hongqing Song, Yalchin Efendiev, Yuhe Wang

SPE Annual Technical Conference and Exhibition

11. The recognition of CAPTCHA

Min Wang, Tianhui Zhang, Wenrong Jiang, Hao Song

Journal of Computer and Communications 2.02 (2014): 14.

Presentation

1. Reduced-Order Deep Learning for Flow Dynamics. The Interplay Between Deep Learning and Model Reduction

Models and Numerical Methods in Computational Geosciences, SIAM Annual Meeting(AN21) July 2021

2. Reduced-order Deep Learning for Flow Dynamics. The Interplay Between Deep Learning and Model Reduction

PSU-PKU joint CCMA Seminar on Mathematics of Data and Computation July 2020

2. Generalized Multiscale Coupling of Triple-Continuum Model and Discrete Fracture Network for Carbonate Reservoir Simulation

SPE Annual Technical Conference and Exhibition, San Antonio, Texas, USA Oct 2017