Presently working in the area of analysis and modeling of naturally occurring series from Ionospheric and Magnetospheric data. Investigated the chaotic dynamics of the time series of Total Electron Content (TEC), the geomagnetic horizontal Intensity (H) a

Virtual element methods for nonlinear problems. Stabilization of convection diffusion reaction equations. Developing preconditioner for Algebraic multgrid methods.

Differential Geometry and Applications.

Fitted-Mesh methods (FDM/FEM) for singularly perturbed PDEs/ODEs Fractional-step methods for multi-dimensional PDEs. Computational methods for PDEs with non-smooth data. Computational methods for Delay Differential Equations. Numerical Analysis of nonlin

Affine forms, Affine fibrations, Epimorphism problems, Cancellation problems, Derivations, Locally Nilpotent Derivations, Projective Algebras and allied areas.

Computational Partial Differential Equations Finite Volume Element Methods Finite Element Methods Discontinuous Galerkin Methods.

Partial Differential Equations (PDEs) Stochastic PDEs Optimal Control Theory Inverse Problems Fluid Dynamics

I am interested in Machine Learning algorithm development and its application to real-world problems. My current interests include Brain-Computer Interfaces, Deep Learning, and Kernel Methods.

Functional Analysis Mathematical Control Theory Soft Computing and Machine Learning Industrial Mathematics - Modelling and Simulation Orbital Mechanics