Assistant Professor, Department of Mathematics
National Institute of Technology, Tiruchirappalli
Dr. Gautam Singh joined the Department of Mathematics, NIT Trichy, as an Assistant Professor in October 2022. His research expertise lies in Numerical Analysis, Finite Element Methods, Discontinuous Galerkin Methods, and Physics-Informed Neural Networks. With a strong academic and research background, his work focuses on developing efficient numerical schemes for singularly perturbed differential equations, multiscale problems, and PDEs with complex layer structures.
Prior to NIT Trichy, he served as an Assistant Professor at BIT Mesra (2021–2022) and worked as a Postdoctoral Fellow at IIT Roorkee (2021). Dr. Singh earned his Ph.D. from IIT Guwahati in 2020 under the guidance of Prof. Natesan Srinivasan, where he investigated superconvergence properties of discontinuous Galerkin methods. He received his M.Sc. in Mathematics and Computing from IIT Guwahati (2015) and B.Sc. (Hons.) in Mathematics from Banaras Hindu University (2013).
He qualified GATE (AIR 145) and CSIR-NET (AIR 47) in Mathematics in 2015. His achievements include the INSPIRE Fellowship (2015–2020) and the Best Oral Presentation Award at Research Conclave 2018, IIT Guwahati.
Ph.D., Applied Mathematics, IIT Guwahati (2015 - 2020)
M.Sc., Mathematics & Computing, IIT Guwahati (2013 - 2015)
B.Sc. (Hons.) Mathematics, Banaras Hindu University (2010 - 2013)
Numerical Analysis
Finite Element Methods
Discontinuous Galerkin Methods
Singular Perturbation Problems
Physics-Informed Neural Networks (PINNs)
Assistant Professor, Department of Mathematics, NIT Trichy (Oct 2022 - Present)
Assistant Professor, Department of Mathematics, BIT Mesra (Aug 2021 - Oct 2022)
Postdoctoral Fellow, IIT Roorkee (Feb 2021 - Aug 2021)
Amit Yadav (January 2023 - Present)
Vijay Kumar (January 2023 - Present)
Partial Differential Equations
Scientific Computing using Python
Programming in C (Lab)
Complex Analysis and Differential Equations
Fourier Transforms and Numerical Techniques
Linear Algebra and Calculus
Real Analysis and Probability Theory
INSPIRE Scholarship, DST (2010 -2015)
IIT-JAM (AIR 173), 2013
GATE (AIR 145), Mathematics, 2015
CSIR-NET (AIR 47), Mathematics, 2015
Best Oral Presentation Award, Research Conclave 2018, IIT Guwahati
Delivered an invited talk in the FDP on “Recent Advances in Computational Fluid Dynamics”, organized by VIT Vellore from 23–25 January 2023.
Delivered an invited talk in the FDP on “Recent Trends in Differential Equations and Numerical Computing (RTDENC-2025)”, organized by NIT Calicut and held from 20–24 June 2025.
Delivered an invited talk at the International Conference on Advances and Applications of Numerical Analysis, organized by Amrita Vishwa Vidyapeetham, Coimbatore, India, held from 21–23 July.
Presented research at ICMC-2018 (IIT BHU), ICACM-2018 (Kathmandu), NCMS-2019 (BHU)
Presented at IGCM 2019, IISc Bangalore
Delivered a talk at ICIAM 2023, Tokyo, Japan
Presented work at the AIMS Conference 2024, United Arab Emirates
G. Singh and S. Natesan. Superconvergence of discontinuous Galerkin method with interior penalties for singularly perturbed two-point boundary-value problems. Calcolo, 55(4):54, 2018.
G. Singh and S. Natesan. A uniformly convergent NIPG method for a singularly perturbed system of reaction–diffusion boundary-value problems. Springer Proc. Math. Stat., 253:429-440, 2018.
G. Singh and S. Natesan. Study of the NIPG method for two-parameter singular perturbation problems on several layer-adapted grids. J. Appl. Math. Comput., 63(1-2):683-705, 2020.
G. Singh and S. Natesan. A uniformly convergent numerical scheme for a coupled system of singularly perturbed reaction–diffusion equations. Numer. Funct. Anal. Optim., 41(10):1172-1189, 2020.
M. K. Singh, G. Singh, and S. Natesan. A unified study on superconvergence analysis of Galerkin FEM for singularly perturbed systems of multiscale nature. J. Appl. Math. Comput., 66:221-243, 2021.
A. Sendur, S. Natesan, and G. Singh. Error estimates for a fully discrete ε-uniform finite element method on quasi-uniform meshes. Hacettepe J. Math. Stat., 50(5):1306-1324, 2021.
G. Singh and S. Natesan. Superconvergence properties of discontinuous Galerkin time-stepping for singularly perturbed parabolic problems. Numer. Algorithms, 90:1073-1090, 2022.
G. Singh, S. Natesan, and A. Sendur. Superconvergence error analysis of discontinuous Galerkin method with interior penalties for 2D elliptic convection-diffusion-reaction problems. International Journal of Computer Mathematics, 100(5):948-967, 2023.
A. Yadav and G. Singh. Analysis of two-parameter singular perturbation problems via the DDG method on Shishkin mesh. Journal of Applied Mathematics and Computing, 71(3):4313-4348, 2025.
A. Yadav and G. Singh. Numerical Treatment of Coupled Singularly Perturbed Reaction–Diffusion Problems Using the DDG Method on Shishkin Mesh. International Journal of Computational Methods, 2025.
Dr. Gautam Singh
Office No. 206, Lyceum Building
Department of Mathematics
NIT Tiruchirappalli – 620015, India
Email: gautam@nitt.edu, gautamsinghmath@gmail.com
Phone: 0431-2503679, +91-9884987312
ResearchGate: https://www.researchgate.net/profile/Gautam-Singh-28
Google Scholar: https://scholar.google.com/citations?user=8XYllKQAAAAJ
