Research experience

PhD in Applied Mathematics, Brown University. Advisor: Chi-Wang Shu

My research interests lie broadly in numerical methods for solving differential equations and, more recently, developments and applications of machine learning and neural networks.

I develop numerical methods for:

• kinetic equations, which describe how a system consisting of a large number of particles evolves with time
• fractional differential equations, which are used to model complex phenomena such as fluid dynamic traffic models. 
• uncertainty quantification
• other applied areas such as finance and material science.

I carry out research in linear transport theory which is the study of equations that describe how particles, or energy, move in some medium when the movement involves random absorption, emission and scattering.

Research projects

 

Potential research projects for students