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.   These projects include: 

• methods in scientific machine learning and PDEs,
• numerical methods for weather forecasting, and
• structure preserving discretizations and their applications.

 For more details, please check my publications pag