Personal information

WAVE FEILD MODELLING, PRECONDITIONING, MATRIX FREE SOLVERS, STABILITY AND BIFURCATION ANALYSIS, NODAL INTEGRAL METHOD, MULTISCALE PDES
India, Switzerland

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.

Activities

Employment (5)

University of Geneva: Geneva, CH

2021-09-01 to 2022-08-30 | Post doctoral fellow (Section of Mathematics )
Employment
Source: Self-asserted source
Niteen Kumar

Indian Institute of Technology Bombay: Mumbai, IN

2020-08-01 to 2021-08-31 | Post doctoral fellow (Department of energy science and engineering)
Employment
Source: Self-asserted source
Niteen Kumar

Indian Institute of Technology Bombay: Mumbai, Maharashtra, IN

2019-12-30 to 2020-06-30 | Research Associate (Department of Energy Science and Engineering)
Employment
Source: Self-asserted source
Niteen Kumar

EnergyDesign, Shanghai: Shanghai, CN

2019-09-25 to 2019-11-18 | Project Engineer
Employment
Source: Self-asserted source
Niteen Kumar

Indian Institute of Technology Bombay: Mumbai, Maharashtra, IN

2019-03-23 to 2019-06-23 | Research Assistant (Department of Energy Science and Engineering)
Employment
Source: Self-asserted source
Niteen Kumar

Education and qualifications (3)

Indian Institute of Technology Bombay: Mumbai, Maharashtra, IN

2013-07-12 to 2019-12-30 | Ph.D. (Department of Energy Science and Engineering)
Qualification
Source: Self-asserted source
Niteen Kumar

Indian Institute of Technology Bombay: Mumbai, Maharashtra, IN

2011-07-17 to 2013-07-12 | Masters of Science (Department of Energy Science and Engineering)
Qualification
Source: Self-asserted source
Niteen Kumar

St. Xavier's College: Ranchi, Jharkhand, IN

2007-07 to 2010-11 | Bachelor (Department of Physics)
Education
Source: Self-asserted source
Niteen Kumar

Professional activities (2)

Solar Decathlon India: Maysur, IN

2020-07 to present | Technical resource group (Solar Decathlon India)
Membership
Source: Self-asserted source
Niteen Kumar

Indian Institute of Technology Bombay: Mumbai, IN

2013-11 to 2018-07 | Team Lead (Team Shunya)
Membership
Source: Self-asserted source
Niteen Kumar

Funding (4)

Solar Decathlon China

2018-07 to 2018-08 | Grant
United States Department of Energy (Washington, Dezhou, CN)
Source: Self-asserted source
Niteen Kumar

Travel grant for ICCFD-09

2016-07 to 2016-07 | Grant
Department of Science and Technology (New Delhi, IN)
Source: Self-asserted source
Niteen Kumar

Solar decathlon Europe

2014-06 to 2014-07 | Grant
United States Department of Energy (Washington, Paris, FR)
Source: Self-asserted source
Niteen Kumar

Integrated M.Sc.-Ph.D.

2011-07 to 2018-07 | Award
Department of Science and Technology (New Delhi, IN)
Source: Self-asserted source
Niteen Kumar

Works (10)

Physics‐based preconditioning of Jacobian‐free Newton–Krylov solver for Navier–Stokes equations using nodal integral method

International Journal for Numerical Methods in Fluids
2024-02 | Journal article
Contributors: Nadeem Ahmed; Suneet Singh; Niteen Kumar
Source: check_circle
Crossref

A new nodal integration method for Helmholtz problems based on domain decomposition techniques

Proceedings of Domain decomposition method
2023 | Preprint | Conceptualization, Methodology, Software, Writing - original draft
Contributors: Niteen Kumar; Martin Jacob Gander
Source: Self-asserted source
Niteen Kumar

A Modified Preconditioning Approach for Nodal Integral Method

Proceedings of the World Congress on Mechanical, Chemical, and Material Engineering
2022 | Conference paper
EID:

2-s2.0-85145329010

Part of ISSN: 23698136
Contributors: Ahmed, N.; Kumar, A.; Kumar, N.; Singh, S.
Source: Self-asserted source
Niteen Kumar via Scopus - Elsevier

A Nodal Integral Scheme for Acoustic Wavefield Simulation

Pure and Applied Geophysics
2022 | Journal article
EID:

2-s2.0-85141346027

Part of ISSN: 14209136 00334553
Contributors: Kumar, N.; Shekar, B.; Singh, S.
Source: Self-asserted source
Niteen Kumar via Scopus - Elsevier

Multiscale capable nodal integral method

In International Conference on Scientific Computation and Differential Equations, Reykjavik, Iceland, July-2022
2022-07 | Conference paper | Conceptualization, Methodology, Software, Writing - original draft
Contributors: Niteen Kumar; Martin Jacob Gander
Source: Self-asserted source
Niteen Kumar

A novel physics-based preconditioner for nodal integral method using JFNK for 2D Burgers equation

Progress in Nuclear Energy
2021 | Journal article
EID:

2-s2.0-85100384048

Part of ISSN: 01491970
Contributors: Kumar, N.; Singh, S.
Source: Self-asserted source
Niteen Kumar via Scopus - Elsevier

Node averaged nodal integral method

World Congress in Computational Mechanics and ECCOMAS Congress
2021 | Conference paper
EID:

2-s2.0-85122101327

Part of ISSN: 26966999
Contributors: Ahmed, N.; Kumar, N.; Singh, S.
Source: Self-asserted source
Niteen Kumar via Scopus - Elsevier

Predictor–Corrector Nodal Integral Method for simulation of high Reynolds number fluid flow using larger time steps in Burgers ’ equation

Computers and Mathematics with Applications
2020 | Journal article
EID:

2-s2.0-85072281834

Part of ISSN: 08981221
Contributors: Kumar, N.; Majumdar, R.; Singh, S.
Source: Self-asserted source
Niteen Kumar via Scopus - Elsevier

Physics-based preconditioning of Jacobian free Newton Krylov for Burgers’ equation using modified nodal integral method

Progress in Nuclear Energy
2019 | Journal article
EID:

2-s2.0-85068962702

Part of ISSN: 01491970
Contributors: Kumar, N.; Majumdar, R.; Singh, S.
Source: Self-asserted source
Niteen Kumar via Scopus - Elsevier

Numerical solution of burgers-huxley equation using improved nodal integral method

9th International Conference on Computational Fluid Dynamics, ICCFD 2016 - Proceedings
2016 | Conference paper
EID:

2-s2.0-85086286820

Contributors: Kumar, N.; Singh, S.
Source: Self-asserted source
Niteen Kumar via Scopus - Elsevier