Dr. Gautam Singh

About

Dr. Gautam Singh is an Assistant Professor of Mathematics in NIT Trichy since October 2022. His areas of research interest include Numerical Analysis, Finite Element Methods and Discontinuous Galerkin Methods. Previously he was an Assistant Professor in BIT Mesra from August 2021 to October 2022. He received his doctoral degree from IIT Guwahati in the year 2020 and the title of his thesis is “Superconvergence Analysis of the Discontinuous Galerkin Method for Singularly Perturbed Differential Equations”. He has completed his Masters from IIT Guwahati in 2015 and Bachelors in Mathematics from Banaras Hindu University in2013. He has cleared both GATE (rank-145) and NET (rank-47) in the year 2015. Other achievements of him include receiving Inspire Fellowship in 2015-2020 and Best Oral Presentation Award in 2018.

Employment

• National Institute of Technology Tiruchirappalli Assistant Professor
  2022 - Present
• Birla Institute of Technology, Mesra Assistant Professor
  2021 - 2022
• Indian Institute of Technology Guwahati Research Scholar
  2015 - 2020

Education

• Banaras Hindu University B.Sc. (Hons) Mathematics
  2010 - 2013

Projects & Funding

Projects & funding information is unavailable.

Publications (6)

• A Variational Physics-Informed Neural Network Framework Using Petrov–Galerkin Method for Solving Singularly Perturbed Boundary Value Problems
  International Journal of Computational Methods 2026 DOI: 10.1142/S021987622650043X
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• Numerical Treatment of Coupled Singularly Perturbed Reaction–Diffusion Problems Using DDG Method on Shishkin Mesh
  International Journal of Computational Methods 2026 DOI: 10.1142/S0219876225500665
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• Superconvergence error estimates of discontinuous Galerkin time stepping for singularly perturbed parabolic problems
  Numerical Algorithms 2022 DOI: 10.1007/s11075-021-01222-6
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• Error estimates for a fully discrete $\varepsilon-$uniform finite element method on quasi uniform meshes
  Hacettepe Journal of Mathematics and Statistics 2021 DOI: 10.15672/hujms.691017
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• A unified study on superconvergence analysis of Galerkin FEM for singularly perturbed systems of multiscale nature
  Journal of Applied Mathematics and Computing 2021 DOI: 10.1007/s12190-020-01434-4
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• A Uniformly Convergent Numerical Scheme for a Coupled System of Singularly Perturbed Reaction-Diffusion Equations
  Numerical Functional Analysis and Optimization 2020 DOI: 10.1080/01630563.2020.1740255
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