Tina Mai's Homepage
(Vietnamese legal name: Mai Ti Na)
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My research interests span the analysis of partial differential equations, including kinetic equations, together with analytically guided multiscale numerical methods arising in micropolar and nonlinear elasticity and porous-media flow, and mathematically grounded connections to data-driven approaches such as deep learning.
Currently, I am a Researcher and Lecturer (in a role comparable to an Assistant Professor) at the Institute of Research and Development of Duy Tan University, Da Nang, Vietnam (2017 – present, with homepage https://ird.duytan.edu.vn/en/nhan-vien-9i3/47-mai-ti-na); and an Affiliated External Member of the Institute for Scientific Computation (ISC) TAMU (homepage https://sites.google.com/tamu.edu/tina-mai/home) with visits in 2018 – present (often 1 – 2 months per year), and a Visiting Scholar of the Department of Mathematics when visiting the ISC, Texas A&M University, College Station (TAMU).
I was a Postdoctoral Research Associate at the ISC, TAMU under the supervision of Yalchin Efendiev during September 2015 – August 2016, when I also had invited research visits at the University of Minnesota and short-term visits at the University of Texas at Austin.
In May 2015, I obtained my Ph.D. in Mathematics at TAMU with a dissertation on convexity in nonlinear elasticity, under Jay R. Walton, my Ph.D. advisor.
I received a B.S. in Mathematics-Informatics Teaching in 2007, at University of Education, Da Nang, Vietnam.
I was born in Da Nang city, Vietnam.
Office address: 612 Blocker, 155 Ireland Street, College Station, TX 77843
My email: tinagdi<at>gmail.com; maitina<at>duytan.edu.vn; tinamai<at>tamu.edu
Welcome
August 2 – 7, 2027, the 22nd ICMP (International Congress of Mathematical Physics),
taking place at Duy Tan University, Da Nang, Vietnam
Recent Research Activities & Invited Talks
April 10 – 12, 2025, Frontiers in Computational Mathematics,
A conference in honor of Bjorn Engquist's 80th birthday,
The University of Texas at Austin, USA
April 08, 2025, Talk at TAMU nonlinear PDE seminar, (slides, paper)
"Hydrodynamic limit of the Kuramoto-Sakaguchi equation with inertia and noise effects",
Texas A&M University, College Station, USA
April 13 – 14, 2023, The 4th East Coast Optimization Meeting (Virtual),
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)
February 6 – 10, 2023, Workshop 1: Multiscale analysis and methods for PDEs: fluids and active matter dynamics,
Program Multiscale Analysis and Methods for Quantum and Kinetic Problems,
Institute for Mathematical Sciences (IMS), National University of Singapore (NUS)
Teaching
I enjoy teaching across levels and mentoring students through guided reading and research projects.
Complete teaching evaluations:
https://sites.google.com/view/tina-mai/mai_evaluations
At Duy Tan University (DTU), Da Nang, Vietnam
Adjunct Instructor of Troy University at DTU
(American Degree Program between Duy Tan and Troy University)
MTH 1126 Calculus II
Online co-teaching (as primary instructor) Summer 2022, Spring 2024
Direct co-teaching (as primary instructor) Spring 2025
Students' evaluations Spring 2025 Class Picture
Lecturer at DTU: STA 151 Probability and Statistics (bilingual lectures in Vietnamese and English), Fall 2018
Class Picture
At Texas A&M University (TAMU), College Station, USA
Instructor of Record at TAMU: Math 142 Business Mathematics II, Summer 2014
Students' evaluations Summer 2014 Class Picture
Picture, Math 142 Business Mathematics II, Summer 2014, TAMU
Picture, Troy University MTH 1126 Calculus II, Spring 2025, at Duy Tan University, 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: 2410.05113, 2024.
https://arxiv.org/abs/2410.05113
(Submitted for publication, 2025)
1. Tina Mai*. Entropic convergence and the linearized limit for the Boltzmann equation with external force.
arXiv:1612.05096v2, 2025.
https://arxiv.org/abs/1612.05096v2
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