Nikhil’s homepage

Hi! I am a researcher in applied mathematics working on the theory and numerics of partial differential equations (PDEs). I work on hyperbolic conservation laws, a fundamental class of PDEs that provide a framework for describing physical phenomena involving flow, for instance through the conservation of mass, momentum, and energy. My research focuses on developing accurate and efficient numerical methods to approximate the solutions to different classes of conservation laws.

Currently, I am a postdoctoral researcher in the research group of Prof. Christian Klingenberg at the University of Würzburg, Germany, where I work on developing high order finite-volume methods for conservation laws.

I completed my PhD in Mathematics at the Indian Institute of Science Education and Research (IISER) Thiruvananthapuram, India where I worked in the research group of Dr. Sudarshan Kumar K. During my PhD, I worked on developing and analyzing high-order numerical methods for nonlocal conservation laws and conservation laws with discontinuous flux. My PhD thesis can be found here.

“While differing widely in the various little bits we know, in our infinite ignorance we are all equal.” ― Karl R. Popper