My research is in numerical analysis and scientific computing. Some of my long-term focus areas are:

• numerical methods for partial differential equations (PDEs) on surfaces,
• simulation of thermonuclear fusion from cavitation,
• parallel computing of PDEs via domain decomposition,
• numerical methods for the time evolution for PDEs,
• numerical methods for interfacial dynamics.

I am also working on new collaborative projects, which target emerging challenges in science and engineering:

• hybrid scientific machine learning and numerical weather prediction, and
• structure preserving discretizations and their applications.

For more details, please check my publications page