My current research interests include:

Big Data Analysis

Education Technology

Computational Fluid Dynamics

Financial Mathematics

Inverse Problems

Mathematical Biology

Optimal Control and Estimation

Social Network


A TV-based iterative regularization method for the solutions of thermal convection problems. Communications in Computational Physics, 2013; 14(4), 1120 - 1146. With Eric T. Chung.

Application of scaled nonlinear conjugate gradient algorithms to the inverse natural convection problem. Optimization Methods and Software, 2013; 28(1): 159 - 185. With B. Protas.


Two-objective optimization strategies using the adjoint method and game theory in inverse natural convection problems. International Journal for Numerical Methods in Fluids, 2012; 70: 1341 - 1366.

A FE-based algorithm for the inverse natural convection problem. International Journal for Numerical Methods in Fluids, 2012; 68(1): 48 - 82. With P. Yuan.


Inverse determination of a heat source from natural convection in a porous cavity. Computers & Fluids, 2011; 52: 1 - 14. With J.-L. Xie.



Second-order implicit-explicit scheme for the Gray-Scott model. Journal of Computational and Applied Mathematics, 2008: 213(2): 559 - 581. With K. Zhang & R. Zhang.

The Galerkin finite element method for the solution of some spatio-temporally dependent reaction diffusion systems. Applied Numerical Mathematics, 2008; 58(3): 352 - 375.


On the use of consistent splitting scheme for double-diffusive convections in mixed finite element formulations. International Journal of Computer Mathematics, 2007; 84(11): 1683 - 1700.

Mixed finite element formulation of algorithms for double-diffusive convection in a fluid-saturated porous medium. Communications in Numerical Methods in Engineering, 2007; 23(11): 983 - 1022. With P. Yuan.

Numerical simulation of two-dimensional laminar mixed-convection in a lid-driven cavity using the mixed finite element consistent splitting scheme. International Journal of Numerical Methods for Heat and Fluid Flows, 2007; 17(1): 46 - 93.


Numerical convergence studies of the mixed finite element method for natural convection flow in a fluid-saturated porous medium. International Journal of Computational Fluid Dynamics, 2006; 20(10): 657 - 671. With P. Yuan.

A consistent splitting scheme for unsteady incompressible viscous flows. I. Dirichlet boundary condition and applications. International Journal for Numerical Methods in Fluids, 2006; 51: 385 - 424. With M. K.-H Chan.