Research Interests

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

Focused equations:

  • degenerated parabolic problems
  • Sobolev-type equations, and
  • fluid dynamics