Rate My Professor Kamalesh Kumar

Dr. Kamalesh Kumar is an Assistant Professor in the Department of Humanities and Basic Sciences at the Indian Institute of Information Technology, Manipur, a position he assumed on December 26, 2024. He also serves as Dean (Academic) and is a member of the institute's Senate. Previously, he held the position of Assistant Professor in the School of Advanced Sciences, Department of Mathematics at Vellore Institute of Technology, Andhra Pradesh from May 18, 2022, to December 24, 2024. Before that, he was an Adhoc Assistant Professor in the Department of Mathematics at Visvesvaraya National Institute of Technology, Nagpur from January 6, 2021, to May 17, 2022. His academic qualifications include a Ph.D. in Numerical Analysis from the Department of Mathematics at Visvesvaraya National Institute of Technology, Nagpur in 2020, supervised by Prof. P. Pramod Chakravarthy; an M.Sc. in Mathematics from Central University of Rajasthan, Ajmer in 2014; and a B.Sc. in Mathematics from University of Rajasthan, Jaipur in 2012.

Dr. Kumar specializes in numerical solutions of differential equations, particularly singularly perturbed convection-diffusion equations, time-delayed parabolic convection-diffusion problems, parabolic singularly perturbed partial differential equations with shift parameters, time-fractional singularly perturbed convection-diffusion problems, time-delayed singularly perturbed parabolic partial differential equations, singularly perturbed delay differential equations, and adaptive mesh methods for singularly perturbed differential-difference equations. His key publications include: K. Kumar and P.P. Chakravarthy, "A new stable finite difference scheme and its error analysis for two-dimensional singularly perturbed convection-diffusion equations," Numerical Methods for Partial Differential Equations, 38, 1215-1232 (2022); K. Kumar, P.P. Chakravarthy, P. Das and H. Ramos, "A graded mesh refinement approach for boundary layer originated in singularly perturbed time-delayed parabolic convection-diffusion problems," Mathematical Methods in the Applied Sciences, 44(16), 12332-12350 (2021); K. Kumar, P.P. Chakravarthy, H. Ramos and J. Vigo-Aguiar, "A stable finite difference scheme and error estimates for parabolic singularly perturbed PDEs with shift parameters," Journal of Computational and Applied Mathematics, 405, 113050 (2022); K. Kumar, P.P. Chakravarthy, H. Ramos and J. Vigo-Aguiar, "Numerical solution of time-fractional singularly perturbed convection-diffusion problem with a delay in time," Mathematical Methods in the Applied Sciences, 44(4), 3080-3097 (2021); and P.P. Chakravarthy and K. Kumar, "A new stable finite difference scheme and its convergence for time-delayed singularly perturbed parabolic PDEs," Computational and Applied Mathematics, 39(3), 140-156 (2020). He acts as a referee for journals including Applied Numerical Mathematics (Elsevier), Applied Mathematics & Computation (Elsevier), Mathematics and Computers in Simulation (Elsevier), Mathematical Modeling and Analysis, Examples and Counterexamples (Elsevier), and International Journal of Differential Equations (Hindawi).