1. Tối ưu
GS. TSKH. Nguyễn Định
PGS. TS. Nguyễn Ngọc Hải
- Methods for solving optimal control problems with phases restrictions
- Existence of variational and optimal control problems in the absence of convexity
- Farkas lemmas for convex and non-convex systems and applications
- Theory of general optimization problems: optimality, duality, stability, and well-posedness
- Variational inequalities and equilibrium problems: optimality conditions and duality
- Robust Farkas lemmas and robust convex/nonconvex optimization
- Optimization approaches for computational geometry
2. Xác suất ứng dụng, Thống kê, Toán tài chính
TS. Tạ Quốc Bảo
TS. Phạm Hải Hà
PGS. TS. Trần Vũ Khanh
TS. Nguyễn Minh Quân
3.Lý thuyết ổn định của các hệ động lực:
GS. TS. Phạm Hữu Anh Ngọc
- Stochastic differential equations
- Stability of functional (difference) differential equations
- Robust analysis: Robust stability, robust control of dynamical systems
- Analysis of positive systems, positive C_0 semi-groups, Stability C_0 semi-groups
- Adaptive control for linear dynamical systems and applications
5. Giải tích, Phương trình đạo hàm riêng, Khoa học tính toán:
PGS. TS. Mai Đức Thành
PGS. TS. Trần Vũ Khanh
TS. Nguyễn Anh Tú
TS. Nguyễn Minh Quân
- Analysis of shock waves in hyperbolic systems of balance laws
- Traveling waves, numerical approximations for systems of balance laws
- Estimates and Regularity of complex PDEs, regularization of ill-posed problems
- Analysis of PDEs, Electromagnetic waves
- Nonlinear waves, soliton dynamics, perturbations, computational physics