Summary
My primary research area revolves around the enhancement of computational methodologies designed for addressing partial differential equations.
I am a research associate in computational mathematics with Prof. Colin Cotter and Prof. Dan Crisan. We are developing next-generation particle filters for stochastic partial differential equations that incorporate optimization algorithms.
Publications
Journals
Singh MK, 2024, A discrete-ordinate weak Galerkin method for radiative transfer equation, Applied Numerical Mathematics, ISSN:0168-9274
Singh MK, Natesan S, 2022, Numerical Analysis of Singularly Perturbed System of Parabolic Convection-Diffusion Problem with Regular Boundary Layers, Differential Equations and Dynamical Systems, Vol:30, ISSN:0971-3514, Pages:695-717
Natesan S, Singh MK, 2021, Robust computational method for singularly perturbed system of parabolic convection-diffusion problems with interior layers, Computational and Mathematical Methods, Vol:3
Singh MK, Singh G, Natesan S, 2021, A unified study on superconvergence analysis of Galerkin FEM for singularly perturbed systems of multiscale nature, Journal of Applied Mathematics and Computing, Vol:66, ISSN:1598-5865, Pages:221-243
Singh MK, Natesan S, 2020, Numerical solution of 2D singularly perturbed reaction-diffusion system with multiple scales, Computers & Mathematics With Applications, Vol:80, ISSN:0898-1221, Pages:36-53