主要研究领域为应用数学与计算、控制理论及其应用。具体为两个研究方向，一是从事最优控制问题数值计算方法的研究，包括常微分/偏微分约束的最优控制问题；二是矩阵方程理论及其在控制工程中的应用研究，特别是研究西尔维斯特(Sylvester)矩阵方程、李雅普洛夫(Lyapunov)矩阵方程、黎卡提(Riccati)矩阵方程的求解算法及应用。
MCS Classes:
65F45 Numerical methods for matrix equations;
65N06 Finite difference methods for boundary value problems involving PDEs;
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
49M41 PDE constrained optimization (numerical aspects)；
49K15 Optimality conditions for problems involving ordinary differential equations
Key Words:
Sylvester matrix equation, Lyapunov matrix equation, Riccati matrix equation, Optimal control, PDE constrained optimization, Finite difference, Finite element, Galerkin method