Research

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 exciting 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 page