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Biography
I have 10 years of working experience in the field of numerical analysis and modelling. During my Ph.D., I have acquired strong skills, knowledge, and experience in Nodal Integral Method (NIM), Jacobian free Newton Krylov (JFNK) solver, and preconditioning, and numerical analysis. My Ph.D. was focused on improving the computational efficiency of NIM, for solving nonlinear problems using Newton-based solvers. Two numerical algorithms were developed for 1D and 2D problems. The first algorithm, based on a predictor-corrector method, found a better initial guess for the Newton method. The algorithm also benefited from the inclusion of the JFNK method, avoiding the construction of Jacobian matrices, thereby reducing the computational overhead. The second algorithm was a physics-based preconditioner for reducing the number of Krylov iterations of the JFNK method.
During the Ph.D., I have co-supervised two postgraduate students; by helping them in solving benchmark problems followed by effective writing skills. After my Ph.D., I have joined IIT Bombay as a Research Associate. I was a founding member of student team "Team Shunya" to compete in Solar Decathlon Europe 2014 (Paris) and Solar Decathlon China 2018 (Dezhou) and acted as a mentor to undergraduate & postgraduate students to design and build a passive solar house. In 2019, I worked as a Project Consultant to a company EnergyDesign Shanghai (September 2019 – November 2019) based in Shanghai. During my Ph.D., I acted as a Teaching Assistant at IIT Bombay for courses such as computational lab, Energy and system modeling, solar thermal and energy conversion lab, etc. and helped professors in the course structure designing, taking tutorials, and paper evaluation. In 2019, I worked as a Research Assistant (March 2019 – June 2019). In 2017, I was a member of the organizing team for International Conference on Advances in Energy Research-2017, reviewed abstracts for more than 200 research papers with a team of 10 people; organized and managed sessions.
After my Ph.D., I joined IIT Bombay as a postdoctoral fellow for one year (September 2020 - August 2021), where I worked on the solution of Helmholtz equation using NIM for wave field modelling and stability analysis of two-phase flow, which resulted into publications. In September 2021, I joined the applied mathematics group at section de mathematics, University of Geneva as a postdoctoral fellow. There I worked on multiscale diffusion problem, development of NIM scheme for hyperbolic wave equation, a domain decomposition based NIM scheme and dispersion correction of NIM scheme.
During my stay at Geneva, I started a collaboration with Prof. Meister from university of Kassel on development of modified Patankar Runge Kutta (MPRK) solver for point reactor kinetic equation. During my visit at university of Kassel, I served as a visiting lecturer at department of mathematics for one month, there I taught numerical solution of partial differential equations. At present I am working on the solution of telegraph equation using NIM. I am also a member of technical resource group for solar decathlon India from last four edition (2021-2024). There my role is to provide technical supports to undergraduate student in designing a sustainable solar powered house.
My experience with numerical analysis, stability analysis, multiscale problems and MPRK method will be very crucial for the success of this project. In the future, I wish to position myself in academia as a professor by conducting excellent scientific research in the field of computational mathematics.
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