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Full name:Tina Mai (Mai Ti Na) Concurrently:Researcher and Lecturer Degree:Ph.D. Specialization:Mathematics Field of Research:Applied mathematics, analysis, mechanics, materials science, modeling; in particular, present work involves analysis of partial differential equations, multiscale methods, (Cosserat) nonlinear elasticity, kinetic theory, and deep learning Foreign languages:Vietnamese (native), English (fluent), French (mathematical) Address:Institute of Research and Development, Duy Tan University, Room 1602, 03 Quang Trung, Da Nang 550000, Vietnam Telephone:(+84) 236 3 747 678 (ext. 11602) Email:tinagdi<at>gmail.com; maitina<at>duytan.edu.vn; tinamai<at>tamu.edu
Work experience

My additional page at TAMU: https://sites.google.com/tamu.edu/tina-mai/home

 

My main 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)
with frequent visits (2018 – present);
and also a Visiting Scholar hosted by the Department of Mathematics when visiting the ISC 
 
 
Past Lecturer 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, where the longest visit was invited by Maria-Carme Calderer)
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)


Some recent activities
The 4th East Coast Optimization Meeting (Virtual), April 13 – 14, 2023
George Mason University, Fairfax, VA, USA
“Optimization and Game Theory”
Video of my talk: Prediction of numerical homogenization for Richards equation using deep learning
(with Sergei Stepanov and Denis Spiridonov)
Program Multiscale Analysis and Methods for Quantum and Kinetic Problems,
Institute for Mathematical Sciences (IMS), National University of Singapore (NUS), February 6 – 10, 2023



Teaching
At Duy Tan University (DTU), Da Nang, Vietnam
Adjunct instructor of Troy University at DTU: Including partial curriculum development, guidance, and mentoring for MTH 1126 Calculus II course of the new American Degree Program between Duy Tan and Troy University, Summer 2022, Spring 2024, and 
Spring 2025 (with planned direct teaching) 
Students' evaluations: Summer 2022, Spring 2024

Lecturer at DTU: STA 151 Probability and Statistics (bilingual lectures in Vietnamese and English), Fall 2018
Class Picture


At Texas A&M University, College Station, USA
Instructor of Record at TAMU: Math 142 Business Mathematics II, Summer 2014
Students' evaluations Summer 2014          Class Picture

 

 
 
Education

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

B.S. in Mathematics-Informatics Teaching, 2007, University of Education, Da Nang, Vietnam


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. 

 

Scientific Activities

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Conferences/Seminars