Research Interests

My research is mainly focused on the development and analysis of efficient and structure-preserving numerical methods for kinetic equations (a mesoscopic description of interacting particle systems with the nonlinear Boltzmann equation as a prominent example) and related problems arising in multiscale modeling and simulation.

Some of my recent representative work includes:

• Fast spectral methods for Boltzmann type collisional kinetic equations
• Asymptotic-preserving and positivity-preserving schemes for multiscale hyperbolic and kinetic equations
• Energy/entropy dissipative schemes for Fokker-Planck type equations
• Low-rank methods for high dimensional kinetic equations
• Uncertainty quantification for kinetic equations