Current Research interest:
Numerical analysis and numerical applications on the discontinuous Galerkin finite element method for the time-dependent partial differential equations, such as
- linear hyperbolic equations and nonlinear conservation laws,
- convection diffusion equations, and so on
Other focused methods:
- Time-marching methods
- ENO/WENO methods
- Streamline diffusion finite element method
Other focused equations:
- degenerated parabolic problems
- Sobolev-type equations, and
- fluid dynamics