0000-0001-9229-9190 About
Kapil Sharma completed his post graduation in mathematics from Kurukshetra University in 1998 and qualified National Eligibility Test for lectureship conducted by CSIR-UGC and Graduate Aptitude Test in engineering conducted by IIT's. He had been awarded junior research fellowship to carry out research towards his PhD at IIT Kanpur. His Ph.D dissertation established a theory for the numerical study of boundary value problems for singularly perturbed differential difference equations under the guidance of Prof. MK Kadalbajoo and received his Ph.D degree from IIT Kanpur in 2004. In the same year he joined the Department of Mathematics (Centre for Advanced Study in Mathematics), Panjab University, Chandigarh as a faculty member. In 2005, he had been awarded the prestigious INRIA post-doctoral fellowship and joined MAB-Institute de Mathematiqe, Bordeuax Universite 1, France where he worked with Prof. Jacques Henry, Directeur de Recherches, INRIA, on a new concept in the simulation of elliptic type partial differential equation which they named as Computing Zoom Technique. In 2008, he joined the editorial board of Applied Mathematics and Computation, a leading international journal in applied mathematics, published by Elsevier. He has more than 15 years research and teaching experience. He guided four Ph.D students and five Ph.D students are working under his supervision. He has published more than 50 research papers in refereed international journal of repute.
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Publications (54)
- Robust numerical analysis for 2D singularly perturbed elliptic delay differential equations exhibiting interior layers due to singularity propagation Save
- Multiplicative Layer Corrector PINN for 2D Singularly Perturbed Reaction–Diffusion Problems Save
- Finite Element Approximation of Singularly Perturbed Parabolic Problems with Discontinuous Reaction Coefficient and Source Function Save
- The computational methods based on OSC for quasilinear parabolic singularly perturbed problems Save
- Balanced Norm Convergence of DGFEM for Singularly Perturbed Parabolic Problems With Discontinuous Diffusion Save
- Extrapolated Crank-Nicolson Orthogonal Spline Collocation Methods for the Singularly Perturbed Semilinear Parabolic Reaction-Diffusion Problems Save
- A parameter uniform orthogonal spline collocation method for time delay singularly perturbed semilinear reaction–diffusion problems Save
- A parameter uniform numerical method for 2D singularly perturbed elliptic differential-difference equations Save
- A Uniformly Convergent Numerical Algorithm on Harmonic ($$H(\ell )$$) Mesh for Parabolic Singularly Perturbed Convection-Diffusion Problems with Boundary Layer Save
- An orthogonal spline collocation method for singularly perturbed parabolic reaction–diffusion problems with time delay Save