I am currently a research scholar in the Department of Mathematics in Indian Institute of Technology Delhi working under the supervision of Prof. Harish Kumar. My broad area of research is numerical methods for hyperbolic partial differential equations.
I am primarily working on Lax-Wendroff flux reconstruction numerical methods for relativistic hydrodynamics equations. These equations are highly nonlinear systems of hyperbolic partial differential equations. We are working on developing stable, accurate, and efficient high-order numerical methods for these equations.
Apart from these, I am also working on developing stable, high-order accurate numerical schemes for other plasma flow models.