Dr. Tamal Pramanick’s research interests lie in the field of applied mathematics, with a focus on numerical methods for solving partial differential equations, particularly the Finite Element Method (FEM) and its applications. His work explores the development and analysis of two-scale composite finite element methods for complex parabolic and elliptic problems in convex and nonconvex polygonal domains. Dr. Pramanick is particularly interested in improving the accuracy and efficiency of numerical solutions for nonlinear and semilinear parabolic equations, with applications spanning diverse fields such as thermistor equations, heat transfer, and diffusion processes. His research also extends to fractional order diffusion equations and mathematical modeling of physical systems. Through his interdisciplinary approach, Dr. Pramanick aims to contribute to advancements in computational mathematics and its practical applications in engineering, physics, and other sciences, making his work highly relevant to both academic research and industrial problem-solving.
Research Skills
Dr. Tamal Pramanick, an accomplished Assistant Professor at NIT Calicut, has received multiple awards and recognition for his outstanding contributions to mathematics and computational science. He qualified the prestigious Joint Admission Test for M.Sc. (JAM) in 2011 and the Graduate Aptitude Test in Engineering (GATE) in 2013, both in Mathematics. During his academic journey at IIT Guwahati, he was a recipient of the Merit cum Means Scholarship and awarded Junior and Senior Research Fellowships (JRF and SRF) from 2013 to 2018. In 2019, Dr. Pramanick achieved the National Eligibility Test (NET) for Lectureship and was selected for the National Board of Higher Mathematics (NBHM) Postdoctoral Fellowship. His innovative research has earned him prestigious grants, including a Faculty Research Seed Grant and NBHM-funded projects, advancing his work in finite element methods and nonlinear equations. His invited talks at international conferences further highlight his scholarly impact on the global stage.
Dr. Tamal Pramanick is a highly qualified candidate with a solid track record of research, teaching, and leadership. His achievements in securing grants, organizing academic programs, and contributing to mathematical research through high-impact publications position him as a strong contender for the Best Researcher Award. With minor improvements in international collaboration and interdisciplinary research, his candidacy would be even stronger.
Publication Top Notes
- Error estimates for two-scale composite finite element approximations of parabolic equations with measure data in time for convex and nonconvex polygonal domains
Authors: T. Pramanick, R.K. Sinha
Citation: Applied Numerical Mathematics, 143, 112-132
Year: 2019
- Two-scale composite finite element method for parabolic problems with smooth and nonsmooth initial data
Authors: T. Pramanick, R.K. Sinha
Citation: Journal of Applied Mathematics and Computing, 58, 469-501
Year: 2018
- A hybrid high-order method for quasilinear elliptic problems of nonmonotone type
Authors: T. Gudi, G. Mallik, T. Pramanick
Citation: SIAM Journal on Numerical Analysis, 60(4), 2318-2344
Year: 2022
- Composite Finite Element Approximation for Parabolic Problems in Nonconvex Polygonal Domains
Authors: T. Pramanick, R.K. Sinha
Citation: Computational Methods in Applied Mathematics, 20(2), 361-378
Year: 2020
- Composite finite element approximation for nonlinear parabolic problems in nonconvex polygonal domains
Authors: T. Pramanick, R.K. Sinha
Citation: Numerical Methods for Partial Differential Equations, 34(6), 2316-2335
Year: 2018
- Adaptation of the composite finite element framework for semilinear parabolic problems
Authors: A. Anand, T. Pramanick
Citation: Journal of Numerical Analysis and Approximation Theory, 53(1), 26-53
Year: 2024
- Error estimates for finite element approximations of nonlinear parabolic problems in nonconvex polygonal domains
Authors: T. Pramanick, S. Mahata, R.K. Sinha
Citation: Advances in Mathematics: Scientific Journal, 9(9), 6513-6524
Year: 2020
- Two scale composite finite element method for parabolic problems in convex and nonconvex polygonal domains
Authors: T. Pramanick
Citation: Guwahati
Year: 2019
- Managing error estimates for semidiscrete finite element approximations of semilinear parabolic equations in a nonconvex polygon
Authors: T. Pramanick
Year: 2018
Authors: A. Anand, T. Pramanick
Event: 2025 Joint Mathematics Meetings (JMM 2025)
- Composite finite element method implementation for nonlinear parabolic problems in nonconvex domains
Authors: T. Pramanick, R.K. Sinha
Year: Not specified in your list
- Fully discrete finite element approximations of semilinear parabolic equations in a nonconvex polygon
Authors: T. Pramanick, R.K. Sinha
Year: Not specified in your list