Research Interests

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