Teaching
At Texas A&M University, College Station, USA
Instructor of Record: Math 142 Business Mathematics II, Summer 2014
At Duy Tan University, Da Nang, Vietnam
Lecturer: STA 151 Probability and Statistics (bilingual lectures in Vietnamese and English), Fall 2018
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 and Spring 2024
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
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.