"चाह रहे यदि सुखमय जीवन
स्मरो रामचरण अति पावन"
- पंडित कवि पृथ्वीनाथ शर्मा "मधुप"
I am Aayushman Raina, a Research Scholar in the Department of Mathematics at IIT Guwahati, working under the supervision of Prof. Natesan Srinivasan.
My research focuses on the numerical solution of singularly perturbed differential equations using nonconforming finite element methods such as Weak Galerkin and Discontinuous Galerkin methods. I am also working on solving singular perturbation problems using Physics-Informed Neural Networks (PINNs), combining scientific machine learning with classical numerical methods.