Work experience

 

Researcher and Lecturer, December 2017 – Present 
Duy Tan University (DTU), Da Nang, Vietnam
(Some information about the university: DTU's 30th Anniversary was on November 11, 2024,
 
Current Affiliated External Member
Texas A&M University, College Station, USA:  Institute for Scientific Computation (ISC),
and also a Visiting Scholar hosted by the Department of Mathematics when visiting the ISC
 
 
Past Faculty Position, March 2017 – October 2017 
University of Education – The University of Da Nang, Vietnam
Past Postdoctoral Research Associate, September 2015 – August 2016
Texas A&M University, College Station, USA:  Institute for Scientific Computation (ISC),
supervisor: Yalchin Efendiev
Past Research Visits, September 2015 – April 2016
The University of Minnesota, Twin Cities:  School of Mathematics,
and participation in activities of the Institute for Mathematics and its Applications
(Each visit from one week to one month)
Past Research Visits, Spring 2016
The University of Texas at Austin:  Department of Mathematics and Institute for Computational Engineering and Sciences
(Each visit from one week to two weeks)
Past Multiple Short-term Visits
The University of California, Los Angeles:  Department of Mathematics and Institute for Pure and Applied Mathematics
(Optimization workshop OPWS1 2010, and one day visit in 2016)


Teaching

At Duy Tan University, Da Nang, Vietnam

At Texas A&M University, College Station, USA

 
Education

Ph.D. in Mathematics, 2015, Texas A&M University, College Station, USA, (dissertation),
Advisor: Jay Walton

International Master Courses in Mathematics (attendance and not for degree), 
October 2008 – November 2008, Hanoi Institute of Mathematics, Vietnam, 
Instructor: Pierre Cartier (in memory), IHÉS, France


B.S. in Mathematics-Informatics Teaching, 2007, University of Education, Da Nang, Vietnam,
Advisor: Nguyen Viet Duc (in memory)

 

Publications

My writings can be found at Google Scholar Profile

which can be viewed as follows:

Published:

11. Denis Spiridonov, Sergei Stepanov, Tina Mai*, Prediction of discretization of online GMsFEM using deep learning for Richards equation, Journal of Computational and Applied Mathematics, 454 (2025) 116167. 
https://doi.org/10.1016/j.cam.2024.116167
https://arxiv.org/abs/2403.14177.

10. Dmitry Ammosov, Tina Mai*, Juan Galvis, Generalized multiscale finite element method for a nonlinear elastic strain-limiting Cosserat model, Journal of Computational Physics, 519 (2024) 113428.  
https://doi.org/10.1016/j.jcp.2024.113428.       
https://arxiv.org/abs/2403.14178.

9. Sergei Stepanov, Denis Spiridonov, Tina Mai*, Prediction of numerical homogenization using deep learning for the Richards equation, Journal of Computational and Applied Mathematics, 424 (2023) 114980. 
https://doi.org/10.1016/j.cam.2022.114980.         
https://arxiv.org/abs/2208.12161.

8. Tina Mai, Siu Wun Cheung, and Jun Sur Richard Park, Constraint energy minimizing generalized multiscale finite element method for multi-continuum Richards equations, Journal of Computational Physics, 477 (2023) 111915. 
https://doi.org/10.1016/j.jcp.2023.111915.                       
https://arxiv.org/abs/2205.11294.

7. Tina Mai*, Daniele Mortari, Theory of functional connections applied to quadratic and nonlinear programming under equality constraints, Journal of Computational and Applied Mathematics, 406 (2022) 113912. 
https://doi.org/10.1016/j.cam.2021.113912.
https://arxiv.org/abs/1910.04917.

6. Jun Sur Richard Park, Siu Wun Cheung, Tina Mai*, Multiscale simulations for multi-continuum Richards equations, Journal of Computational and Applied Mathematics, 397 (2021) 113648.  
https://doi.org/10.1016/j.cam.2021.113648.
https://arxiv.org/abs/2010.09181.

 5. Shubin Fu, Eric Chung, Tina Mai*, Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity, Journal of Computational Physics, 417 (2020) 109569. 
https://doi.org/10.1016/j.jcp.2020.109569.
https://arxiv.org/abs/1909.13267

4. Jun Sur Richard Park, Siu Wun Cheung, Tina Mai*, Viet Ha Hoang, Multiscale simulations for upscaled multi-continuum flows, Journal of Computational and Applied Mathematics, 374 (2020) 112782. 
https://doi.org/10.1016/j.cam.2020.112782.
https://arxiv.org/abs/1909.04722.

3. Shubin Fu, Eric Chung, Tina Mai*, Generalized multiscale finite element method for a strain-limiting nonlinear elasticity model, Journal of Computational and Applied Mathematics, 359 (2019) 153–165.  
https://doi.org/10.1016/j.cam.2019.03.047.
https://arxiv.org/abs/1812.09347.

2. Tina Mai*, Jay R. Walton, On monotonicity for strain-limiting theories of elasticity, Journal of Elasticity, 120 (I) (2015) 39–65. 
https://doi.org/10.1007/s10659-014-9503-4.

1. Tina Mai, Jay R. Walton, On strong ellipticity for implicit and strain-limiting theories of elasticity, Mathematics and Mechanics of Solids, 20 (II) (2015) 121–139.  
https://doi.org/10.1177/1081286514544254.

 

Preprints:

2. Tina Mai*. Hydrodynamic limit of the Kuramoto-Sakaguchi equation with inertia and noise effects. arXiv e-prints, page arXiv: 2410.05113, 2024. 
https://arxiv.org/abs/2410.05113

1.  Tina Mai*. Entropic convergence and the linearized limit for the Boltzmann equation with external force. arXiv e-prints, page arXiv:1612.05096, 2016.
https://arxiv.org/abs/1612.05096