Dr. Gautam Singh
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.
|
1. |
Name: Dr. Gautam Singh |
|
2. |
Designation: Assistant Professor |
|
3. |
Office Address: GD3 (Old Library Building), Mathematics Department, NIT Trichy |
|
4. |
Telephone (Direct) (Optional): 9085857312
|
|
5. |
Email (Primary):gautam@nitt.edu |
|
6. |
Field(s) of Specialization: Numerical Analysis, Finite Element Methods, Discontinuous Galerkin Methods, |
7. Employment Profile
8. Academic Qualifications (From Highest Degree to High School):
9. Awards, Associateships etc.
|
Year of Award |
Name of the Award |
Awarding Organization |
|
2010-2015 |
Inspire Scholarship |
Department of Science and Technology |
|
2018 |
Best Oral Presentation Award |
Research Conclave’18, IIT Guwahati. |
10. Fellowships
|
Year of Award |
Name of the Fellowship |
Awarding Organization |
From (Month/Year) |
To (Month/Year) |
|
2015 |
Graduate Aptitude Test in Engineering in Mathematics (GATE)
|
MHRD |
07/2015 |
07/2020 |
|
2015 |
UGC-CSIR NET in Mathematics
|
CSIR |
12/2015 |
|
11. Details of Academic Work
(a)- Partial Differential Equations
(b)- Numerical and Statistical Methods
(c)- Computational Mathematics
(d)- Discrete Mathematics
(e)- Mathematics II
12. Participation in Workshops/ Symposia/ Conferences/ Colloquia /Seminars/ Schools etc. (mentioning the role)
|
Date (s) |
Title of Activity |
Level of Event (International/ National/ Local) |
Role (Participant/ Speaker/ Chairperson, Paper presenter, Any other) |
|
2013 |
Summer Internship |
National |
Worked on a project entitled linear partial differential equation during May-July 2013 as a summer research fellow under the supervision of Dr. Venky Krishnan, TIFR Centre for Applicable Mathematics, Bangalore.
|
|
2015 |
Workshop |
National |
Participated in the workshop on computational techniques for differential equations with MATLAB at the department of mathematics, IIT Roorkee, Uttarakhand, India during July 02-06, 2015.
|
|
2016 |
Workshop |
National |
Attended workshop on singularly perturbed partial differential equations (SPPDEs): theory, computation and application (AWSPPDES 2016 ) at the Department of Mathematics and Statistics, IIT Kanpur, Uttar Pradesh, India during March 24-28, 2016.
|
|
2018 |
Conference |
International |
A uniform convergent NIPG method for a singularly perturbed system of reaction-diffusion BVPs. 4th International Conference on Mathematics and Computing (ICMC-2018) at IIT BHU, Varanasi.
|
|
2018 |
Conference |
International |
NIPG method for two parameter singular perturbation problems. 2nd International Conference on Advance in Computational Mathematics (ICACM-2018) at Tribhuvan University, Kathmandu, Nepal.
|
|
2019 |
Conference |
National |
Superconvergence properties of discontinuous Galerkin method with interior penalties for singularly perturbed problems. 34th Annual National Conference of BHU (NCMS-2019) at BHU Varanasi.
|
|
2019 |
Conference |
International |
Superconvergence of discontinuous Galerkin method for non-stationary convection-diffusion-reaction problems. Indo-German Conference on Computational Mathematics (IGCM 2019) at IISC, Bangalore.
|
13. Publications
(A) Refereed Research Journals:
|
Author(s) |
Title of Paper |
|
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 |
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. Fun. Anal. Opt., 41(10):1172-1189, 2020.
|
|
M. K. Singh and G. Singh & S. Natesan. |
A unified study on superconvergence analysis of Galerkin FEM for singularly perturbed system of multi-scale 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., 2021. https://doi.org/10.1007/s11075-021-01222-6 |
(B) Conferences/Workshops/Symposia Proceedings
|
Author(s) |
Title of the Proceedings |
Venue |
|
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. |
IIT BHU Varanasi |
