The Analytical and Algebraic Methods in Optimization (AAMO) research group, headed by Prof. Dsc. Phan Quoc Khanh, is part of the Faculty of Mathematics and Statistics, Ton Duc Thang University (TDTU). AAMO focuses on the application of optimization and algebra to science and engineering.

The vision of the Analytical and Algebraic Methods in Optimization Research Group is to become a prestigious research unit, contributing to promoting in-depth and interdisciplinary research directions in the field of Optimization in Vietnam and internationally, especially through the application of modern tools of Analysis and Algebra.

The group's mission is to develop theoretical and applied methods in Optimization through high-quality research, training young research human resources, and expanding domestic and foreign academic cooperation to create practical contributions to science and technology from the period of 2025–2030 and strive to develop further in the next period.

+ Mathematical Programming
+ Non-Smooth Optimization
+ Existence and Stability of Mathematical Models
+ Variational Analysis, Extended Differential, Variational Convergence, and Approximation of Optimization Problems
+ Optimal Control
+ Commutative Algebra
+ Ring Theory
+ Computer Algebra
+ Deep Learning, Machine Learning, and Artificial Intelligence

1) Group's head: Prof. Dsc. Phan Quoc Khanh

* In total: 125 articles on WoS/Scopus, H-index according to Scopus: 29; published 2 monographs, 5 textbooks; successfully guided 20 PhDs (10 of whom are professors, associate professors), 126 Masters; chaired 7 state-level projects, 3 ministerial-level projects, 1 international projects; chaired (or participated in chairing) 13 international scientific conferences (organized domestically and internationally), invited to give plenary talks, keynote talks at many international conferences; participated in the editorial board of many WoS/Scopus journals; initiated and chaired international quality seminar activities, with many world-leading professors in the field coming to report continuously for 32 years (since 1993).

* Five recent years:  

• Projects principle: 

1. State level: Variational analysis in studying the properties of solution sets of equilibrium and optimization problems, Nafosted, 2502 million

2. Ministry level: Factorization rules, existence, approximation and stability of solutions to optimization problems, VNU-HCM, 990 million

+ Chairing international conferences: 3 in Vietnam: ICOVAA 2023 (Hanoi), ICAM 2024 (HCMC), IWAM 2025 (Nha Trang), 2 conferences abroad: ACFPTO Asian Conference, Pattaya, Thailand 2023 and AMC, Chiang Mai, 2025

+ Publishing books: Lam Quoc Anh, Phan Quoc Khanh, Nguyen Hong Quan, Equilibrium Problems: Existence, Stability, Approximation, Springer Monogaph, 2025 (over 800 pages)

+ Scientific publications on WoS:

1. Nguyen Xuan Duy Bao, Phan Quoc Khanh, Nguyen Minh Tung, Second-order set-valued directional derivatives of the marginal map in parametric vector optimization problems. J. Optim. Theory Appl. 204 (2025), no. 3, Paper No. 45, 20 pp. (ISI, Q1)

2. Huynh Thi Hong Diem, Phan Quoc Khanh, Global approximations of vector optimization problems in terms of variational convergence, J. Optimization Theory and Applications,  J. Optim. Theory Appl. 203 (2024), no. 1, 83–110. doi.org/10.1007/s10957-024-02468-5 (ISI, Q1)

3. Pham Ngoc Anh, Phan Quoc Khanh, Nguyen Duc Truong, A relaxed projection method for solving bilevel variational inequality problems, Optimization, onlinefirst 2024, doi.org/10.1080/02331934.2024.2354456 (ISI, Q1)

4. Huynh Thi Hong Diem, Phan Quoc Khanh, Approximations of Quasi-Equilibria and Nash Quasi-Equilibria  in Terms of Variational Convergence, Set-Valued and Variational Analysis, Vol. 32, no. 1, 2024, doi.org/10.1007/s11228-023-00704-0 (ISI, Q1)

5. Le Phuoc Hai, Phan Quoc Khanh, Antoine Soubeyran, General versions of the Ekeland variational principle. Ekeland points and stop and go dynamics, J. Optimization Theory and Applications, Vol. 195, no. 1, 347–373, 2022 (ISI, Q1)

6. Huynh Thi Hong Diem, Somaye Jafari, Phan Quoc Khanh, Sirous Moradi, Conditions for solutions, their globality and their duality relations in vector optimization with relaxed quasiconvexity, Positivity, Vol. 26, no. 3, paper no. 51, 21 pp, 2022 (ISI, Q2)

7. Phan Quoc Khanh, Le Thanh Tung, On optimality conditions  and duality for multiobjective optimization with equilibrium constraints, Positivity, onlinefirst 2022 (ISI, Q2)

8. Nguyen Xuan Duy Bao, Phan Quoc Khanh, Nguyen Minh Tung, Quasi-contingent derivatives and studies of higher-orders in nonsmooth optimization, J. Global Optimization, Vol. 84, no. 1, 205-228, 2022 (ISI, Q1)

9. Nguyen Xuan Duy Bao, Phan Quoc Khanh, Nguyen Minh Tung, On necessary optimality conditions with higher-order complementarity slackness for set-valued optimization problems, Set-Valued and Variational Analysis, Vol. 30, no. 2, 465–486, 2022 (ISI, Q1)

10. Phan Quoc Khanh, Nguyen Hong Quan, A unified study of existence theorems in topologically based settings and applications in optimization, Optimization, Vol. 71, no. 9, 2547–2569, 2022 (ISI, Q1)

11. Lam Quoc Anh, Phan Quoc Khanh, Dang Thi My Van, On well-posedness for perturbed quasi-equilibrium and quasi-optimization problems, Numerical Functional Analysis and Optimization, Vol. 42, no. 5, 583-607, 2021 (ISI, Q2, in some years Q1)

12. Lam Quoc Anh, Tran Quoc Duy, Phan Quoc Khanh, Levitin-Polyak well-posedness for equilibrium problems with the lexicographic order, Positivity, Vol. 25, no. 4, 1323–1349, 2021 (ISI, Q2)

13. Phan Quoc Khanh, Juan-Enrique Martinez-Legaz, Christiane Tammer, Rene Henrion, Special issue dedicated to the 65th birthday of Alexander Kruger, Optimization, Vol. 69, no. 12, 2509-2514, 2020 (ISI, Q1)

14. Phan Quoc Khanh, Duong Viet Thong, Nguyen The Vinh, Versions of the subgradient extragradient method for pseudomonotone variational inequalities, Acta Applicandae Mathematicae, Vol. 170, 319–345, 2020 (ISI, Q2)

15. Phan Quoc Khanh, Vo Si Trong Long, General theorems of the Knaster-Kuratowski- Mazurkiewicz type and applications to the existence study in optimization, Optimization, Vol. 69, no. 12, 2695–2717, 2020 (ISI, Q1)

16. Phan Quoc Khanh, Nguyen Minh Tung, On the Mangasarian-Fromovitz constraint qualification and Karush-Kuhn-Tucker conditions in nonsmooth semi-infinite multiobjective programming, Optimization Letters, Vol. 14, 2055-2072, 2020 (ISI, Q1)

17. Huynh Thi Hong Diem, Phan Quoc Khanh, Epi/hypo-convergence of bifunctions on general domains and approximations of quasi-variational problems, Set-Valued and Variational Analysis, Vol. 28, 519-536, 2020 (ISI, Q1)

18. Le Phuoc Hai, Phan Quoc Khanh, An induction theorem and Ekeland's variational principle in partial metric spaces with applications, Optimization, Vol. 69, no. 7–8, 1481–1511, 2020 (ISI, Q1)

19. Le Phuoc Hai, Lidia Huerga, Phan Quoc Khanh, Vicente Novo, Variants of the Ekeland variational principle for approximate proper solutions of vector equilibrium problems, J. Global Optimization, Vol. 74, 361-382, 2020 (ISI, Q1)

Supervised 2 PhDs: Le Phuoc Hai, defended in 2022 and Nguyen Xuan Duy Bao, defended in 2024; currently supervising PhD student: Tran Tuan Minh.

2) Key member: Prof. Dr. Alexander Kruger

* In total: 118 articles on WoS/Scopus, H-index according to Scopus: 21; chaired 4 international projects, member of 7 international projects, successfully guided 7 PhDs and 1 master.

*  Five recent years:

Scientific publications on WoS:

1) A. L. Dontchev, H. Gfrerer, A. Y. Kruger, J. V. Outrata. The radius of metric subregularity, Set-Valued Var. Anal. 28 (2020), no. 3, 451-473.

2) N. D. Cuong, A. Y. Kruger. Dual sufficient characterizations of transversality properties, Positivity 24 (2020), no. 5, 1313-1359.

3) N. D. Cuong, A. Y. Kruger. Nonlinear transversality properties of collections of sets: Dual space necessary characterizations, J. Convex Anal. 27 (2020), no. 1, 287-308.

4) Hoa T. Bui, N. D. Cuong, A. Y. Kruger. Geometric and metric characterizations of transversality properties, Vietnam J. Math. 48 (2020), no. 2, 277-297.

5) N. D. Cuong, A. Y. Kruger. Transversality properties: Primal sufficient conditions, Set-Valued Var. Anal. 29 (2021), no. 2, 221-256.

6) N. D. Cuong, A. Y. Kruger. Primal necessary characterizations of transversality properties, Positivity 25 (2021), no. 2, 531-558.

7) N. D. Cuong, A. Y. Kruger. Characterizations of uniform regularity of set-valued mappings, J. Nonsmooth Anal. Optim. 2 (2021), 6599.

8) M. Abbasi, A. Y. Kruger, M. A. Théra, Enlargements of the Moreau-Rockafellar subdifferential, Set-Valued Var. Anal. 29 (2021), no. 3, 701-719.

9) M. Abbasi, A. Y. Kruger, M. A. Théra. Gateaux differentiability revisited, Appl. Math. Optim. 84 (2021), no. 3, 3499-3516.

10) A. Y. Kruger, P. Mehlitz. Optimality conditions, approximate stationarity, and applications – a story beyond Lipschitzness, ESAIM: Control, Optimisation and Calculus of Variations 28 (2022), Article Number 42. 

11) A. Y. Kruger, M. A. López, X. Q. Yang, J. Zhu. Isolated calmness and sharp minima via Hölder graphical derivatives, Set-Valued Var. Anal., 30 (2022), no. 4, 1423–1441.

12) N. D. Cuong, A. Y. Kruger. Error bounds revisited, Optimization, 71 (2022), no. 4, 1021-1053.

13) Hoa T. Bui, A. Y. Kruger, Extremal principle: Nonlinear characterizations of non-intersection properties, Optimization 71 (2022), no. 1, 165-196.

14) Hoa T. Bui, R. S. Burachik, A. Y. Kruger, D. T. Yost. Zero duality gap conditions via abstract convexity, Optimization, 71 (2022), no. 4, 811-847.

15) A. M. Bagirov, R. S. Burachik, A. Y. Kruger, J. E. Martinez-Legaz, X. Q. Yang. EDITORIAL: Special issue dedicated to the 80th birthday of Professor Alexander Rubinov, Optimization, 71 (2022), no. 4, 775-778. 

16) H. Gfrerer, A. Y. Kruger. Radius theorems for subregularity in infinite dimensions, Comp. Optim. Appl., 86 (2023), no. 3, 1117-1158. 

17) H. Gfrerer, A. Y. Kruger. The radius of metric regularity revisited, Set-Valued Var. Anal., 31 (2023), no. 3, art. no. 20. 

18) E. Bednarczuk, Dinh The Luc, A. Y. Kruger, J. E. Martínez-Legaz, C. Tammer, Nguyen Dong Yen. EDITORIAL: Special issue dedicated to the 75th birthday of professor Phan Quoc Khanh, Optimization, 72 (2023), no. 1, 1-7. 

19) M. Fabian, A. Y. Kruger, P. Mehlitz. Fuzzy multiplier, sum and intersection rules in non-Lipschitzian settings: Decoupling approach revisited, J. Math. Anal. Appl. 532 (2024) no. 2, art. no. 127985. 

20) L. T. Nguyen, A. Eberhard, X. Yu, A. Y. Kruger, C. Li. Finite-time nonconvex optimisation using time-varying dynamical systems, J. Optimization Theory Appl. 203 (2024), 844–879.

21) N. D. Cuong, A. Y. Kruger, N. H. Thao. Extremality of families of sets, Optimization, 73 (2024), no. 12, 3593-3607.

3) Key member: Assoc. Prof. Dr. Phan Thanh Toan

* In total: 34 articles on WoS/Scopus, H-index according to Scopus: 7; published 01 book chapter; successfully supervised 7 masters; chaired 1 NAFOSTED project and 1 local project; participated in 1 local project; 1 mathematics work award in 2020 from the Vietnam Institute for Advanced Study in Mathematics (VIASM).

* Five recent years:

+ Principle of the NAFOSTED project: Some algebraic aspects of formal power series rings and applications, National Foundation for Science and Technology Development (NAFOSTED) code 101.04-2019.06, 2019-2021.

+ Participate in the university-level project: On the solutions of some types of differential equations and their properties, Ton Duc Thang University Science and Technology Development Fund (FOSTECT) code FOSTECT.2022.BR.19, 2022-2023.

+ Scientific publications on WoS:

1) L.T.N. Giau, B.G. Kang and P.T. Toan, Height of prime ideals of the form P[[X]], Comm. Algebra. online ready. (ISI, Q2)

2) P.T. Toan, P.T. Tri and T.N. Vo, Valuations on power series rings in an arbitrary set of indeterminates, J. Algebra Appl.. online ready. (ISI, Q2)

3) L.T.N. Giau, P.T. Toan and T.N. Vo, N-prime elements and the primality of x − α in D⟦x⟧, Comm. Algebra 53 (2025), no. 1, 233-241. (ISI, Q2)

4) L.T.N. Giau and P.T. Toan, Almost strong finite type rings and Krull dimension of power series ring extensions from sequences, J. Algebra Appl. 23(11) (2024) 2450178. (ISI, Q2)

5) L.T.N. Giau and P.T. Toan, Power series over integral domains of Krull type, J. Algebra Appl. 22(7) (2023) 2350155. (ISI, Q2)

6) L.T.N. Giau, P.T. Toan and T.N. Vo, Dedekind–Mertens Lemma for Power Series in an Arbitrary Set of Indeterminates. Vietnam J. Math. 50 (2022) 45-58. (ESCI, Q2)

7) G.W. Chang and P.T. Toan, Polynomial and power series ring extensions from sequences, J. Algebra Appl. 21(3) (2022) 2250048. (ISI, Q2)

8) G.W. Chang and P.T. Toan, Twisted Polynomial and Power Series Rings, Bull. Iran. Math. Soc. 48 (2022), 93–110. (ISI, Q2)

9) T.N. Vo, M. Razzaghi, P.T. Toan, Fractional-order generalized Taylor wavelet method for systems of nonlinear fractional differential equations with application to human respiratory syncytial virus infection, Soft Comput. 26(1) (2022), 165-173. (ISI, Q2)

10) G.W. Chang and P.T. Toan, Subrings of the power series ring over a principal ideal domain, Comm. Algebra 49 (2021), no. 9, 3748-3759. (ISI, Q2)

11) P.T. Toan and B.G. Kang, Chains of prime ideals in power series rings, J. Pure Appl. Algebra 225 (2021), no. 11, 106726. (ISI, Q1)

12)  T.N. Vo, M. Razzaghi, and P.T. Toan, A numerical method for solving variable-order fractional diffusion equations using fractional-order Taylor wavelets, Numer. Methods Partial Differ. Equ. 37 (2021), no. 3, 2668–2686. (ISI, Q1)

13) P.T. Toan, T.N. Vo, and M. Razzaghi, Taylor wavelet method for fractional delay differential equations, Eng. Comput. 37 (2021), no. 1, 231–240. (ISI, Q1)

14) P.T. Toan and B.G. Kang, Krull dimension of power series rings, J. Algebra 562 (2020), 306-322. (ISI, Q1)

15) L.T.N. Giau, B.G. Kang, and P.T. Toan, On the generalized Krull property in power series rings, J. Pure Appl. Algebra 224 (2020),  no. 11, 106409. (ISI, Q1)

4) Member: Dr. Le Ba Khiet

* In total: 23 articles on WoS/Scopus, H-index according to Scopus: 9. Giving talks at many prestigious domestic and international conferences such as France, Spain, Chile, Peru... Successfully guided 2 masters. Head of 2 FOSTECT local projects (VN) and 1 FONDECYT project (Chile). Currently an academic advisor for the Mathematics-Statistics Academic Club (MSAC).

* Five recent years:

Principle of local projects:

+ "Resolvents calculation and sliding mode technique in set-valued Lur'e dynamical systems", Foundation for Science and Technology Development of Ton Duc Thang University (FOSTECT), code FOSTECT.2023.08, 2023-2024

+ “Numerical calculation of equilibrium solutions for Lur'e systems and new techniques in optimization”, Foundation for Science and Technology Development of Ton Duc Thang University (FOSTECT), code FOSTECT.2024.25, 2024-2025

+ Scientific publications on WoS:

1) B. K. Le, M. Théra (2025) Explicit Convergence Rate of the Proximal Point Algorithm under R-Continuity,  Evolution Equations and Control Theory. Doi: 10.3934/eect.2025016 

2) Adly, J. Huang, B. K. Le (2025) Sliding mode observers for set-valued Lur’e systems with uncertainties beyond observational range, Communications in Nonlinear Science and Numerical Simulation, 140 (1), 108325 

3) S. Adly, M. G. Cojocaru, B. K. Le (2024) State-Dependent Sweeping Processes: Asymptotic Behavior and Algorithmic Approaches, J Optim Theory Appl, Vol 202, 932-948  B. K. Le (2024)

4)  R-Continuity with Applications to Convergence Analysis of Tikhonov Regularization and DC Programming,  Journal of Convex Analysis, 31 (1), 243-254

5) S. Adly, B. K. Le (2023) Sliding Mode Observer for Set-valued Lur’e Systems and Chattering Removing, Nonlinear Analysis: Hybrid Systems, Vol. 50, November 2023, 101406 

6) B. K. Le, M. Théra (2023) On a new simple algorithm to compute the resolvents, Optimization Letters, 17, pages 1271–1277 

7) B. K. Le (2022) Sliding mode observers for time-dependent set-valued Lur'e systems subject to uncertainties,  J Optim Theory Appl, 194, 290–305 

8) S. Adly, B. K. Le (2021) Douglas–Rachford splitting algorithm for solving state-dependent maximal monotone inclusions, Optimization Letters, 15(8), 2861–2878

9)  B. K. Le (2020) Well-posedness and nonsmooth Lyapunov pairs for state-dependent maximal monotone differential inclusions, Optimization, Vol 69(6),1187–1217

10) B. K. Le (2020) On a class of Lur'e dynamical systems with statedependent set-valued feedback, Set-Valued Var. Anal 28, 537–557

11) B. K. Le (2020) Existence of Solutions for Sweeping Processes with Local Conditions, Journal of Convex Analysis, Vol 27(3), 833–844

5) Member: Dr. Vo Ngoc Thieu

* In total: 33 articles on WoS, 20 articles on international conference proceedings, 01 USPTO patent, H-index according to Scopus: 9; successfully guided 12 masters; chaired 1 local project; participated in 1 NAFOSTED project and 01 local project.

* Five recent years:

+ Principle of local project: On the solutions of some types of differential equations and their properties, Foundation for Science and Technology Development of Ton Duc Thang University (FOSTECT), code FOSTECT.2022.BR.19, 2022-2023.

+ Member of NAFOSTED project: Some algebraic aspects of formal power series rings and applications, National Foundation for Science and Technology Development (NAFOSTED) code 101.04-2019.06, 2019-2021.

+ Scientific publications on WoS:

1) Hai Q. Dinh, Hieu V. Ha, Bac T Nguyen, Thieu N. Vo. A New Family of AMDS Symbol-pair Constacyclic Codes of Length 4p and Symbol-pair Distance 9. Designs, Codes and Cryptography. Accepted 2025.

2) Elad Paran, Thieu N. Vo. A skew Newton-Puiseux Theorem. Israel Journal of Mathematics. Accepted 2024.

3) Le Thi Ngoc Giau, Phan Thanh Toan, Thieu N. Vo. N-prime elements and primality of x-a in D[[x]]. Communications in Algebra 53(2024) 233–241.

4) Phan Thanh Toan, Pham Thanh Tri, Thieu N. Vo. Valuations on power series rings in an arbitrary set of indeterminates. Journal of Algebra and its Applications 2024.

5) Hai Q. Dinh, Hieu V. Ha, Bac T Nguyen, Thieu N. Vo. Two new classes of AMDS symbol-pair cyclic codes of length 4p. Journal of Applied Mathematics and Computing 70(2024) 4117–4131.

6) Boonrod Yuttanan, Mohsen Razzaghi, Thieu N. Vo. An efficient wavelet method for the time-fractional Black–Scholes equations. Mathematical Methods in the Applied Sciences 47(2024)12321-12339.

7) Thuan N.A Trang, Khang  N. Ngo, Hugo Sonnery, Thieu N. Vo,  Siamak Ravanbakhsh, Truong-Son Hy. Scalable Hierarchical Self-Attention with Learnable Hierarchy for Long-Range Interactions. Transactions on Machine Learning Research (2024)1976.

8) Hai Q. Dinh, Hieu V. Ha, Nhan T.V. Nguyen, Nghia T.H. Tran, Thieu N. Vo. Hamming distances of constacyclic codes of length $7p^s$ over $\mathbb{F}_{p^m}$. Finite Fields and Their Applications 96(2024)102420.

9) Elad Paran, Thieu N. Vo. Generic freeness of modules over non-commutative domains. Journal of Algebra 641(2024)735-753.

10) Thieu N. Vo, Mohsen Razzaghi, Ion Mihai. An approximate solution for variable‐order fractional optimal control problem via Müntz‐Legendre wavelets with an application in epidemiology. Mathematical Methods in the Applied Sciences 46(2023)13645-13660.

11) Boonrod Yuttanan, Mohsen Razzaghi, Thieu N. Vo. Fractional-order generalized Legendre wavelets and their applications to fractional Riccati differential equations. International Journal of Nonlinear Sciences and Numerical Simulation, 24(2023)57-69.

12) Hoa T.B. Ngo, Mohsen Razzaghi, Thieu N. Vo. Fractional-order Chelyshkov wavelet method for solving variable-order fractional differential equations and an application in variable-order fractional relaxation system, Numerical Algorithms,  92(2023)1571–1588.

13) Vu A. Le, Tuan A. Nguyen, Tu T.C. Nguyen, Tuyen T.M. Nguyen, Thieu N. Vo, Classification of 7-dimensional solvable Lie algebras having 5-dimensional nilradicals. Communications in Algebra, 51(2023)1866-1885.

14) Alexey Ovchinnikov, Gleb Pogudin, Thieu N. Vo. Bounds for elimination of unknowns in systems of differential-algebraic equations. International Mathematics Research Notices, 2022(2022)12342–12377.

15) Vu A. Le, Hoa Q. Duong, Tuan A. Nguyen, Hai T. T. Cao, Thieu N. Vo. On the problem of classifying solvable Lie algebras having small codimensional derived algebras, Communications in Algebra, 50(2022)3775-3793.

16) Sebastian Falkensteiner, Yi Zhang, Thieu N. Vo. On Existence and Uniqueness of Formal Power Series Solutions of Algebraic Ordinary Differential Equations. Mediterranean Journal of Mathematics, 19(2022)74.

17) Mohsen Razzaghi, Thieu N. Vo. Numerical solutions for distributed-order fractional optimal control problems by using Müntz-Legendre wavelets. Proceeding of the Royal Society A, 478(2022)2258.

18) Le Thi Ngoc Giau, Phan Thanh Toan, Thieu N. Vo, Dedekind-Mertens lemma for power series in an arbitrary set of indeterminates, Vietnam Journal of Mathematics, 50(2022)45--58.

19) Thieu N. Vo, Mohsen Razzaghi, Phan Thanh Toan. Fractional-order generalized Taylor wavelet method for systems of nonlinear fractional differential equations with application to human respiratory syncytial virus infection, Soft Computing, 26(2022)165--173.

20) Hoa T.B. Ngo, Thieu N. Vo, Mohsen Razzaghi. An Effective Method for Solving Nonlinear Fractional Differential Equations, Engineering with Computers, 38 (2022)207–218.

21) Boonrod Yuttanan, Mohsen Razzaghi, Thieu N. Vo. Legendre wavelet method for fractional delay differential equations. Applied Numerical Mathematics 168(2021)127--142.

22) Thieu N. Vo, Mohsen Razzaghi, Phan Thanh Toan. A numerical method for solving variable-order fractional diffusion equations using fractional-order Taylor wavelets, Numerical Methods for Partial Differential Equations, 37(2021)2668--2686.

23) Boonrod Yuttanan, Mohsen Razzaghi, Thieu N. Vo. A numerical method based on fractional-order generalized Taylor wavelets for solving distributed-order fractional partial differential equations. Applied Numerical Mathematics, 160(2021)349--367.

24) Boonrod Yuttanan, Mohsen Razzaghi, Thieu N. Vo. A fractional-order generalized Taylor wavelet method for nonlinear fractional delay and nonlinear fractional pantograph differential equations, Mathematical Methods in the Applied Sciences, 44(2021)4156--4175.

25) Phan Thanh Toan, Thieu N. Vo, Mohsen Razzaghi. Taylor wavelet method for fractional delay differential equations, Engineering with Computers, 37(2021)231--240. ​​​​​​​

26) Thieu N. Vo, Yi Zhang. Rational Solutions of High-Order Algebraic Ordinary Differential Equations, Journal of Systems Science and Complexity 33(2020)821—835.

​​​​​​​27) Thieu N. Vo, Yi Zhang. Rational solutions of first-order algebraic difference equations. Advances in Applied Mathematics. 117(2020)102018. ​​​​​​​

28) Vu A. Le, Tuan A. Nguyen, Tu T. C. Nguyen, Tuyen T. M. Nguyen, Thieu N. Vo. Applying matrix theory to classify real solvable Lie algebras having 2-dimensional derived ideals, Linear Algebra and its Applications 588(2020)282--303.

29) Punapong Vichitkunakorn, Thieu N. Vo, Mohsen Razzaghi. A numerical method for fractional pantograph differential equations based on Taylor wavelets, Transactions of the Institute of Measurement and Control,  42(2020)1334--1344. ​​​​​​​

+ The group cooperates with researchers from institutes and universities nationwide, especially in the South, the Institute of Mathematics in Hanoi, and countries around the world such as the US, France, Germany, Spain, Greece, Poland, Australia, Korea, China, India, Taiwan, Thailand, Iran, Chile, ....

+ The group regularly organizes international quality seminars. The current strong group is a restructure of the Faculty's Optimization Research Group established in 2022, this group develops the activities of the Southern Optimization Group which started the seminar in 1993. From 2022, Ton Duc Thang University created conditions for the seminar to invite prestigious international professors from many countries such as France, Spain, Greece, Australia, China, Czech Republic, Chile, ... to report.

+ The group has chaired and is the core of regularly organizing international conferences on mathematics at the school every 1-2 years. In particular, in the last two years of 2024-2025, the international conferences ICAM 2024 and IWAM 2025 brought together mathematicians from all 5 continents and invited reports from the world's leading experts from the US, UK, France, Germany, Poland, Spain, Greece, China, Australia, Chile, Hong Kong, Thailand, ...

+ The group continues the tradition of its predecessors to develop a sustainable group and contribute to the community, paying special attention to supporting and inspiring young teachers with research aspirations. In particular, the group has guided 27 PhDs and nearly 200 masters.