Numerical analysis and scientific computing

• High order numerical methods for PDEs, such as spectral methods, weighted essentially non-oscillatory (WENO) methods and discontinuous Galerkin (DG) methods.

• Structure-preserving methods for nonlinear wave equations, shallow water equations, and Euler equations, etc.

• Arbitrary Lagrangian-Eulerian methods for moving domain problems.

• Model and simulation of the pedestrian flows, multiphase flows, and gradient flows, etc.

• Efficient time discretization methods.