Publications
A list of my publications can be found below as of May 2024. See also my Google Scholar Profile, Scopus, ACM Profile, and ORCID.
Publications
29. V. Mai, T.A. Nhan (2024). Fractional Modelling of H2O2-Assisted Oxidation by Spanish broom peroxidase. Mathematics. 2024; 12(9):1411. https://doi.org/10.3390/math12091411
28. T.A. Nhan, R. Vulanovic (2023). Parameter-uniform convergence analysis on a Bakhvalov-type mesh with a smooth mesh-generating function using the preconditioning approach. Letters on Applied and Pure Mathematics, 1(2), 21-34.
27. L. Claus, P. Ghysels, Y. Liu, T.A. Nhan, R. Thirumalaisamy, A.P.S. Bhalla (2023). Sparse Approximate multifrontal factorization with composite compression methods. ACM Transactions on Mathematical Software, Volume 24, Issue 3, Article No.: 24, pp 1-28.
26. T.A. Nhan and Relja Vulanovic (2023). Analysis of a Second-order Hybrid Scheme on Bakhvalov-type meshes: the Truncation-error and Barrier-function Approach. Applied Numerical Mathematics, Vol 186, April 2023, pp. 84--99.
25. T.A. Nhan et al. (2023). A new upwind difference analysis of an exponentially graded Bakhvalov-type mesh for singularly perturbed elliptic convection-diffusion problems. Journal of Computational and Applied Mathematics, Vol. 418, Jan. 2023, 114622.
24. S. MacLachlan, N. Madden, and T.A. Nhan (2022). A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion. SIAM Journal on Matrix Analysis and Its Applications (SIMAX), Vol. 43 (2), 561--583.
23. T.A. Nhan and V. Mai (2022). A preconditioning-based analysis for a Bakhvalov-type mesh. In William McLean, Shev Macnamara, and Judith Bunder, editors, Proceedings of the 20th Biennial Computational Techniques and Applications Conference, CTAC-2020, volume 62 of ANZIAM J., pages C146–C162, February 2022.
22. V. Mai, T.A. Nhan, Z. Hammouch (2021). A Mathematical Model of Enzymatic non-competitive inhibition by product and its applications. Physica Scripta 96 (2021) 124062.
21. R. Vulanović and T.A. Nhan (2021). An Improved Kellogg-Tsan Solution Decomposition in Numerical Methods for Singularly Perturbed Convection-Diffusion Problems. Applied Numerical Mathematics, Volume 170, December 2021, Pages 128-145.
20. T.A. Nhan and V. Mai (2021). On Bakhvalov-type meshes for a linear convection-diffusion problem in 2D. Math. Commun. 26(2021), 121–130.
19. T.A. Nhan (2021). A uniform convergence analysis for a Bakhvalov-type mesh with explicitly defined transition point. In: Garanzha V.A., Kamenski L., Si H. (eds) Numerical Geometry, Grid Generation and Scientific Computing. Lecture Notes in Computational Science and Engineering, Vol 143, pp 213–226. Springer, Cham. https://doi.org/10.1007/978-3-030-76798-3_13
18. V. Mai̇, T.A. Nhan (2021). Numerical analysis of coupled systems of ODEs and applications to enzymatic competitive inhibition by product . Advances in the Theory of Nonlinear Analysis and its Application, 5 (1), 58-71. DOI: 10.31197/atnaa.820590
17. R. Vulanović and T.A. Nhan (2020). Robust hybrid schemes of higher order for singularly perturbed convection-diffusion problems. Applied Mathematics and Computation, Volume 386, 1 December 2020, 125495.
16. R. Vulanović and T.A. Nhan (2020). Using the Kellogg-Tsan solution decomposition in numerical methods for singularly perturbed convection-diffusion problems. Numerical Analysis and Applicable Mathematics, 2020, 1(1), 1-9.
15. T.A. Nhan and R. Vulanović (2020). The Bakhvalov mesh: a complete finite-difference analysis of two-dimensional singularly perturbed convection-diffusion problems. Numerical Algorithms 87, 203–-221 (2021). DOI: https://doi.org/10.1007/s11075-020-00964-z
14. T.A. Nhan and N. Madden (2020). An analysis of diagonal and incomplete Cholesky preconditioners for a singularly perturbed problem on a layer-adapted mesh. Journal of Applied Mathematics and Computing 65, 245–272 (2021). https://doi.org/10.1007/s12190-020-01390-z
13. L.P. Quan and T.A. Nhan (2020). A closed-form solution to the inverse problem in interpolation by a Bézier-spline curve. Arabian Journal of Mathematics 9, 155–-165 (2020). https://doi.org/10.1007/s40065-019-0241-0
12. T.A. Nhan and R. Vulanović (2019). Analysis of the truncation error and barrier-functions technique for a Bakhvalov-type mesh. Electronic Transactions on Numerical Analysis (ETNA), Volume 51, Pages 315-330. (preprint)
11. H. Nhan and T.A. Nhan (2019). Different Grouping Strategies for Cooperative Learning in English Majored Seniors and Juniors at Can Tho University, Vietnam. Educ. Sci. 2019, 9, 59.
10. T.A. Nhan (2018). Cooperative Learning Activities with a Focus on Geometry Applications in a Basic Math & Pre-Algebra Class. Bay Area Active Learning Workshop, 2018. (Mathematics Education)
9. L.P. Quan and T.A. Nhan (2018). Applying Computer Algebra Systems in Approximating the Trigonometric Functions. Mathematical and Computational Applications. 2018; 23 (3):37.
8. T.A. Nhan and R. Vulanović (2018). A note on a generalized Shishkin-type mesh, Novi Sad Journal of Mathematics. Vol. 48, No. 2, 2018, 141-150, 2018. DOI: https://doi.org/10.30755/NSJOM.07880
7. T.A. Nhan, M. Stynes, and R. Vulanović (2018). Optimal Uniform-Convergence Results for Convection-Diffusion Problems in One Dimension Using Preconditioning. Journal of Computational and Applied Mathematics, 2018.
6. T.A. Nhan, S. MacLachlan, and N. Madden (2018). Boundary layer preconditioners for finite-element discretizations of singularly perturbed reaction-diffusion problems. Numerical Algorithms, 2017. (Cite as: Nhan, T.A., MacLachlan, S. & Madden, N. Numer Algor (2018) 79: 281. https://doi.org/10.1007/s11075-017-0437-3 )
5. R. Vulanović and T.A. Nhan (2017). A Numerical Method for Stationary Shock Problems with Monotonic Solutions, Numerical Algorithms, Vol 77 (2018), 1117--1139.
4. T.A. Nhan and R. Vulanović (2016). Preconditioning and uniform convergence for convection-diffusion problems discretized on Shishkin-type meshes. Advances in Numerical Analysis, vol. 2016, Article ID 2161279, 2016.
3. J. L. Gracia, N. Madden, and T.A. Nhan (2015). Applying a patched mesh method to efficiently solve a singularly perturbed reaction-diffusion problem. In: Bock H., Phu H., Rannacher R., Schlöder J. (eds) Modeling, Simulation and Optimization of Complex Processes HPSC 2015. Springer, Cham.
2. T.A. Nhan and N. Madden (2015). Cholesky factorisation of linear systems coming from finite difference approximations of singularly perturbed problems, Proceedings of BAIL 2014–Boundary and Interior Layers–Computational and Asymptotic Methods, Lecture Notes in Computational Science and Engineering, Springer, Berlin, Vol. 108, 2015. (arXiv version)
1. R. Vulanović and T.A. Nhan (2014). Uniform convergence via preconditioning, Int. J. Numer. Anal. Model. Ser. B 5, 347–356, 2014.
Theses
4. T.A. Nhan (2015). Preconditioning techniques for singularly perturbed differential equations, Ph.D. thesis, National University of Ireland Galway, September 2015. Abstract published in Irish Mathematical Society Bulletin, 76, Winter 2015. (pdf)
3. T.A. Nhan (2011). Numerical solutions of models for glucose and insulin levels in critically ill patients, M.Sc. thesis, National University of Ireland Galway, August 2011. (See here for research publications that cited this thesis)
2. T.A. Nhan (2008). The Unicity Theorem For Meromorphic Maps Of A Complete Kaehler Manifold Into P^N(C), M.Sc. thesis, Hanoi National University of Education, September 2008.
1. T.A. Nhan (2005). On the differential manifolds, B.Sc. thesis, Cantho University, May 2005.