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