"Nothing will ever be attempted if all possible objections must first be overcome."
------ Samuel Johnson
Research Interest
- Analytical Partial Differential Equations
- Numerical Analysis
- Numerical Methods for PDEs
- Scientific Computing
Current Research
Working on space-time Domain Decomposition Methods for Linear and Non-linear problems.
Earlier I have worked with Prof. Martin Gander and Prof. Felix Kwok in Ph.D. and with Prof. Benjamin Ong in Post-doc on Non-overlapping Domain Decomposition Algorithms for solving space-time problems in parallel computer during my Ph.D.
Earlier I have worked with Prof. Martin Gander and Prof. Felix Kwok in Ph.D. and with Prof. Benjamin Ong in Post-doc on Non-overlapping Domain Decomposition Algorithms for solving space-time problems in parallel computer during my Ph.D.
Research Overview
- In Masters, I have worked on Admissible solutions for Hyperbolic Conservations laws. Mainly I did a detail study of various entropy conditions, collected them and studied the equivalence property among some of them in certain cases.
- Completed my Ph.D. on the topic of the convergence of non-overlapping DD algorithms for the time dependent problems. Here is a brief sketch of Domain Decomposition Method :
My area of work, in particular, is the generalization of substructuring methods with Waveform Relaxation method, formally named as the Dirichlet-Neumann Waveform Relaxation (DNWR) and the Neumann-Neumann Waveform Relaxation (NNWR), for time dependent problems. Currently, we have shown superlinear convergence behavior of the above mentioned methods for the Heat equation. We are continuing our works with the Wave equation and the Advection-Diffusion equation.