My research interests include high order structure-preserving numerical methods for fluid, kinetic and multi-scale models. Specific topics include:

• High order low rank tensor approach for transport PDEs and kinetic models with local conservation and structure preservation.
• Eulerian-Lagrangian high order Runge-Kutta discontinous Galerkin methods.
• High order semi-Lagrangian method for kinetic and transport equations with applications in astrophysics, plasma Physics and meteorology.
• Asymptotic preserving numerical methods for multi-scale PDEs.
• High order methods for temporal multi-scale problems: implicit-explicit Runge-Kutta method and integral deferred correction method for singular perturbation problems.

The application areas include:

• Computational fluid dynamics.
• Kinetic simulations and applications to Plasma physics.
• Astrophysics.
• Climate modeling and simulations.
• Traffic flow simulations.