Dr. Saurabh Tomar
Teaching Faculty, Department of Applied Sciences
Rajiv Gandhi National Aviation University (RGNAU), India
Expertise: Computational Mathematics, Scientific Machine Learning
📧 stomarmaths@gmail.com | stomar@rgnau.ac.in
Biography
Dr. Saurabh Tomar is a Teaching Faculty in the Department of Applied Sciences at Rajiv Gandhi National Aviation University (RGNAU). He is a mathematician specializing in scientific machine learning, nonlinear differential equations, and physics-informed neural networks (PINNs), with strong interdisciplinary engagement in computational mathematics and machine learning.
He has held postdoctoral positions at the Indian Institute of Technology Kanpur, including a Project Postdoctoral Fellowship under Prof. Manindra Agrawal and an Institute Postdoctoral Fellowship in the Department of Mathematics & Statistics. He has also served as a full-time faculty member in the Department of Data Science at ITER, Bhubaneswar.
Dr. Tomar has published extensively in SCI-indexed international journals such as Mathematics and Computers in Simulation, Computational and Applied Mathematics, Journal of Computational and Applied Mathematics, Powder Technology, Mathematical Methods in the Applied Sciences, and AIMS Mathematics. His recent research emphasizes physics-informed neural networks for solving nonlinear, singular, and stiff differential equations arising in combustion theory, astrophysics, quantum field theory, and biological models.
Research Areas
- Scientific Machine Learning (SciML)
- Physics-Informed Neural Networks (PINNs)
- Computational Mathematics
- Nonlinear Differential Equations & Boundary Value Problems
Education
- Ph.D. in Mathematics (2015–2021), Indian Institute of Technology Kharagpur
Thesis: Analytical Iterative Methods for Solving Nonlinear Differential Equations
Advisor: Prof. Rajni Kant Pandey - M.Sc. in Mathematics (2013–2015), IIT Kharagpur (First Class)
- B.Sc. (PCM) (2009–2012), CCS University, Meerut (First Class)
Professional Experience
- Teaching Faculty, RGNAU (2025 – Present)
- Project Postdoctoral Fellow, IIT Kanpur (2024 – 2025)
Supervisor: Prof. Manindra Agrawal - Institute Postdoctoral Fellow, IIT Kanpur (2022 – 2024)
Supervisor: Prof. Akash Anand - Assistant Professor, Centre for Data Science, ITER, SOA University (2021 – 2022)
Selected Journal Publications
- Physics-informed neural networks: A scientific machine learning strategy for solving singular boundary value problems, Machine Learning for Computational Science and Engineering, 2026.
- Robust computational methods for solving strongly nonlinear initial value problems in combustion and astrophysics, International Journal of Computational Methods, 2026.
- Physics-informed neural networks framework for solving the highly nonlinear Bratu equation, AIMS Mathematics, 2025.
- Effective iterative methods for solving nonlinear initial value problems, Computational and Applied Mathematics, 2025.
- An efficient technique based on Green’s function for solving two-point boundary value problems, Mathematics and Computers in Simulation, 2023.
Conference Presentations
- Young Scientist Conclave, India International Science Festival 2024, IIT Guwahati.
- Joint Mathematics Meetings (AMS–MAA–SIAM), USA, 2019.
- International Conferences at IIT Kharagpur, IIT Guwahati, VIT, and other institutions.
Academic Service
Journal Reviewer: Scientific Reports, Journal of Computational and Applied Mathematics, Numerical Algorithms, MathSciNet, zbMATH Open, Neural Processing Letters, and several Springer & Elsevier journals.
Conference Roles: Technical Session Chair, ICRAMDS-2024 (MNIT Bhopal); AMSE-2022 (SOA University).