Admission Helpline 1800 120 102 102
  • Home
  • Faculty Dr. Jasbir Singh
Dr. Jasbir Singh

Dr. Jasbir Singh

Specialization

Numerical Analysis

Email

jasbirsingh@sgrru.ac.in
Research Interests

Scientific Computing, Numerical Simulation, Finite Element Methods, Weak Galerkin Finite Element Methods, and Singular Perturbation Theory

Qualifications IIT Roorkee, Ph.D. Numerical Analysis 2024, Kurukshetra University, M.Sc. Mathematics (Pure Specialization), 2016

 

Brief Profile

Dr. Jasbir Singh is an Assistant Professor in the Department of Mathematics, School of Basic and Applied Sciences, Shri Guru Ram Rai University, Dehradun, Uttarakhand, India. He earned his Ph.D. in Mathematics (2024) from the Indian Institute of Technology (IIT) Roorkee, where his research focused on the convergence analysis of the Weak Galerkin Finite Element Method for unsteady singularly perturbed problems. He completed his M.Sc. in Mathematics (Pure Specialization) (2016) from Kurukshetra University, Haryana. Dr. Singh has qualified the GATE and CSIR-UGC-NET examinations. He has published several research papers in leading international journals, including Computers & Mathematics with Applications, Journal of Computational Science, Mathematical Methods in the Applied Sciences, Numerical Algorithms, and Numerical Methods for Partial Differential Equations. He has also presented his work at numerous international conferences and participated in workshops on innovative numerical techniques addressing contemporary engineering and scientific problems.

His current research focuses on developing operator-splitting Alternating Direction Implicit (ADI) schemes based on the Weak Galerkin Finite Element Method (WG-FEM) for the efficient numerical solution of multidimensional parabolic singularly perturbed problems on polygonal meshes. He also serves as a reviewer for several reputed international journals. Dr. Singh’s research interests include Numerical Analysis, Finite Element Methods, Weak Galerkin Methods, and Singular Perturbation Theory. He is deeply committed to advancing computational mathematics and mentoring emerging researchers in applied and numerical mathematics.

 

  Name of the Author Title of Paper/Book Published Name of the journal/Publication house Year of Publication Manuscript no./DOI
1 Dr. Jasbir Singh WG-FEM with ADI-Type Splitting: A High-Order Approach for Two-Parameter Singularly Perturbed 2D Parabolic Problems on Bakhvalov Mesh Numerical Methods for Partial Differential Equations 2025 https://doi.org/10.1002/num.70025
2 Dr. Jasbir Singh An ADI type operator splitting WG-FEM for 2D nonlinear unsteady singularly perturbed problem Numerical Algorithms 2025 https://doi.org/10.1007/s11075-025-02061-5
3 Dr. Jasbir Singh A High-Order Numerical Method for Semilinear Convection Diffusion Equation on Bakhvalov-type Mesh Mathematical Methods in the Applied Sciences 2025 https://doi.org/10.1002/mma.10904
4 Dr. Jasbir Singh A robust weak Galerkin finite element method for two parameter singularly perturbed parabolic problems on nonuniform meshes Journal of Computational Science 2024 https://doi.org/10.1016/j.jocs.2024.102241
5 Dr. Jasbir Singh Convergence analysis of weak Galerkin finite element method for semilinear parabolic convection dominated diffusion equations on polygonal meshes. Computers & Mathematics with Applications 2023 https://doi.org/10.1016/j.camwa.2023.06.011
Admission Query