Research

Publications

1. Implicit–Explicit Scheme with Multiscale Vanka Two-Grid Solver for Heterogeneous Unsaturated Poroelasticity
   Maria Vasilyeva, Ben S. Southworth, Yunhui He, Min Wang
   arXiv preprint arXiv:2508.12197, 2025

2. Numerical Methods for Solving Nonlinearly Coupled Poisson Equations in Dual-Continuum Modeled Porous Electrodes
   Yuhe Wang, Min Wang, Zhihang Xu
   arXiv preprint arXiv:2507.22818, 2025

3. Weak TransNet: A Petrov–Galerkin Based Neural Network Method for Solving Elliptic PDEs
   Zhihang Xu, Min Wang, Zhu Wang
   arXiv preprint arXiv:2506.14812

4. Multicontinuum Splitting Scheme for Multiscale Flow Problems
   Yalchin Efendiev, Wing Tat Leung, Buzheng Shan, Min Wang
   Journal of Computational Physics 540 (2025): 114265

5. Neural Network Based Variational Methods for Solving Quadratic Porous Medium Equations in High Dimensions
   Min Wang, Jianfeng Lu
   Communications in Mathematics and Statistics 11.1 (2023): 21–57

6. A Learning-Based Projection Method for Model Order Reduction of Transport Problems
   Zhichao Peng, Min Wang, Fengyan Li
   Journal of Computational and Applied Mathematics 418 (2023): 114560

7. Nonlinear Reduced DNN Models for State Estimation
   Wolfgang Dahmen, Min Wang, Zhu Wang
   Communications in Computational Physics 32 (2022): 1–40

8. 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 (2022): 114577

9. 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)

10. Deep Multiscale Model Learning
    Yating Wang, Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev, Min Wang
    Journal of Computational Physics 406 (2020): 109071

11. Generalized Multiscale Multicontinuum Model for Fractured Vuggy Carbonate Reservoirs
    Min Wang, Siu Wun Cheung, Eric T. Chung, Maria Vasilyeva, Yuhe Wang
    Journal of Computational and Applied Mathematics 366 (2020): 112370

12. 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

13. Prediction of Discretization of GMsFEM Using Deep Learning
    Min Wang, Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Yating Wang
    Mathematics 7.5 (2019): 412

14. 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, Society of Petroleum Engineers, 2017

15. The Recognition of CAPTCHA
    Min Wang, Tianhui Zhang, Wenrong Jiang, Hao Song
    Journal of Computer and Communications 2.2 (2014): 14–19

Invited Talks

1. Weak TransNet: A Petrov–Galerkin Based Neural Network Method for Solving Elliptic PDEs
   Texas–Louisiana Section of SIAM 8th Annual Meeting, Austin, Texas Sept 2025

2. The Interplay Between Deep Learning and Model Reduction
   AWM Research Symposium, Madison, Wisconsin May 2025

3. The Interplay Between Deep Learning and Model Reduction
   NSF Computational Mathematics Meeting 2025, Salt Lake City, Utah May 2025

4. The Interplay Between Deep Learning and Model Reduction
   Computational Mathematics Seminar, Texas A&M University–Corpus Christi, Corpus Christi, Texas Apr 2025

5. The Interplay Between Deep Learning and Model Reduction
   SIAM Conference on Computational Science and Engineering (CSE25), Fort Worth, Texas Mar 2025

6. The Interplay Between Deep Learning and Model Reduction
   SIAM Texas–Louisiana Section 7th Annual Meeting, Waco, Texas Oct 2024

7. The Interplay Between Deep Learning and Model Reduction
   9th SIAM Central States Section (SIAM–CSS), Kansas City, Missouri, USA Oct 2024

8. The Interplay Between Deep Learning and Model Reduction
   International Conference on Applied Mathematics 2024, Hong Kong SAR, China May 2024

9. Deep Learning for High-Dimensional PDEs
   Joint Mathematics Meetings 2024, San Francisco, California, USA Jan 2024

10. Deep Learning for High-Dimensional PDEs
    International Council for Industrial and Applied Mathematics, Tokyo, Japan Aug 2023

11. Deep Learning for High-Dimensional PDEs
    Scientific Computing Seminar, University of Houston, Houston Nov 2022

12. Deep Learning for High-Dimensional PDEs
    SIAM Conference on Mathematical Data Science (MDS22), Online Sept 2022

13. Deep Learning Methods for PDEs and Reduced Order Models
    Department of Mathematics, University of Houston, Houston, Texas, USA Dec 2021

14. 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), Online July 2021

15. 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, Online July 2020

16. 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