Research & Projects

Delivering excellence via varied research avenues, trained faculty and innovation

Major Research Areas

  • Real Analysis
  • Astronomy and Astrophysics
  • Mechanics, Fluid Mechanics
  • Integer Programming, Optimization- Numerical , Duality Theory, Fuzzy Optimization
  • Number Theory-Partition Theory
  • Fourier Analysis, Functional Analysis
  • Soft Computing, Artificial Neural Network
  • Fixed Point Theory, Approximation Theory
  • Mathematical Biology
  • Mathematical Modelling- Transport, Hamiltonian systems
  • Numerical Analysis (for ODE and PDE)

Ongoing Sponsored Projects

S. No. Name of the research Project Name of the Principal Investigator/ Co Investigator Name of Funding Agency Amount sanctioned (in Lakhs) Duration of the project Year of sanction
1 Design and Assessment of Complex Network Models and their Applications to halt Brain Disorders Dr. Parimita Roy Anusandhan National Research Foundation (ANRF) 34.45 3 Years 2024
2 Analysis of Switched Dynamic Equations on Time Scale with Applications Dr. Rajesh Dhayal SEED Grant 5.00 2 Years 2024
3 Investigating hybrid and Tri-hybrid NanofluidS Flow Models for Enhanced Thermal Performance Dr. Bhuvaneshvar Kumar SEED Grant 6.00 2 Years 2024
4 Heesch Problem for Polyominoes Dr. Arun Maiti SEED Grant 5.50 2 Years 2024
5 Structure Theorems for Symbolic Summation with Special Functions  Dr. Yashpreet Kaur SEED Grant 5.00 2 Years 2024
6 Different approaches to develop optimality conditions and duality for bi-level programming problems under optimistic position Dr. Navdeep Kailey NBHM 15.02 3 years 2023
7 Development and analysis of wiener wavelet collocation chaos method for
nonlinear stochastic advection diffusion models
Dr. Sapna Pandit NBHM 16.51 3 years 2023
8 Fast and Robust Algorithms for Convection Dominated Multi-dimensional
Reaction-Diffusion-Convection Models: Computation and Theoretical Analysis

Dr. Sapna Pandit
SERB, DST 21.45 3 years 2023
9 Function approximation and generalized Bezier curves generated by some positive linear operators Dr. Meenu Rani NBHM 15.14 3 years 2021
10 DST-FIST Project Head, DOM DST FIST 54.00 (27 DST+27 TIET) 5 years 2019

Completed Sponsored Projects

S. No. Name of the research project Name of the Principal Investigator/ Co Investigator Name of Funding Agency Amount sanctioned (in Lakhs) Duration of the project Year of sanction
1 Theoretical Investigation of disordered vehicular traffic dynamics in context to Indian roads Dr. Sapna Sharma DST 21.56 3 years 2021
2 COVID pandemic management based on real time detection of airborneviral load in hospitals Dr. Amrik Sen BT, MINISTRY OF SCIENCE & TECHNOLOGY 42.21 1 years 2020
3 On higher order numerical methods for nonlinear models and their dynamical analysis Dr. Munish Kansal SEED Grant 3.10 2 years 2020
4 Some Duality Aspects of Fractional Variational Problems Dr. Navdeep Kailey SEED Grant 1.50 2 years 2020
5 Development of Dynamic Data Envelopment Analysis Models with Application to Indian Banking Sector Dr. Jolly Puri SEED Grant 3.25 2 years 2020
6 Mathematical Modeling and Optimal Control of Infectious Diseases Dr. Anuj Kumar SEED Grant 3.00 2 years 2020
7 Construction of a New Family of Mathematical Models of Quasicrystal growth Dr. Amrik Sen SEED Grant 4.50 2 years 2020
8 On Rogers-Ramanujan-Slater type identities and related topics in Partition Theory Dr. Meenakshi Rana SERB, DST 6.60 3 years 2020
9 Mathematical model for cancer treatment: In silico, in vitro, and in vivo strategies for developing a protocol for treat-
 ing gastric cancer by invoking innate immunity using thermally treated Heli-
 cobacter pylori coated with iron oxide nanoparticles
Dr. Amrik Sen CEEMS 25.10 3 years 2020
10 Some Best Approximation Problems in Abstract Spaces Dr. Sumit Chandok NBHM 16.15 3 years 2020
11 Probability that an Automorphism of a Finite Group Fixes an Element of the Group Dr. Deepak Gumber SERB, DST 6.60 3 years 2020
12 Iterative Algorithms and Stability of Functional Equations in Quasi-Banach Spaces Dr. Sumit Chandok SERB, DST 35.16 2 years 2019
13 Construction of a Reduced Model for Investigating Dispersion of Pollutants by Atmospheric Wave Turbulence in the Atmospheric Boundary layer Dr. Amrik Sen DST 32.91 2 years 2019
14 Extinction risk analysis: An approach to preserve endangered species Dr. Parimita Roy SERB, DST 16.35 3 years 2018
15 On class-preserving automorphims of finite groups Dr. Hemant Kalra SERB, DST 6.60 3 years 2018
16 Compression and representation of biological shapes and signals using diffusion wavelet Dr. Kavita SERB, DST 6.60 3 years 2018
17 Understanding traffic dynamics via lattice hydrodynamics approach: Modeling, analysis & simlation Dr. Sapna Sharma SERB, DST 6.60 3 years 2018
18 Study of wave propagation phenomena in the context of size dependent elastic theories Dr. Satish Kumar CSIR 13.37 3 years 2018
19 A study of different aspects of galaxy evolution Dr. Mamta Gulati SEED Grant 3.50 2 years 2018
20 Mathematical modeling of equilibrium structures and oscillations of rotating stars in binary systems using modified Roche equipotential Dr. A.K. Lal(PI) and Dr. Ankush Pathania (Co-Investigator) CSIR 16.96 3 years 2017
21 Study of surface and LAMB Type Wave Propagation in the context of Size Dependent Piezoelectricity Dr. Satish Kumar SERB, DST 16.00 3 years 2017
22 Modelling and simulation of three-dimentional magnetohydrodynamic Nanofluid flows over a stretching surface Dr. Raj Nandkeolyar SERB, DST 16.23 3 years 2017
23 Numerical analysis of tumor growth models using Discontinous Galakin Techniques Dr. Parmjeet Singh NBHM 13.19 3 years 2017
24 Some fixed point problems in Abstract Spaces with Applications Dr. Sumit Chandok SEED Grant 2.30 2 years 2017
25 Finite p-groups with central automorphism group of minimal order Dr. Hemant Kalra SEED Grant 2.20 2 years 2017
26 Modeling and simulation of traffic flow through lattice hydro-dynamic approach Dr. Sapna Sharma SEED Grant 2.30 2 years 2017
27 Application of wavelets in uncertainty quantification Dr. Kavita SEED Grant 2.40 2 years 2017
28 Numerical study of MHD nanofluid flow in the presence of induced magnetic field Dr. Raj Nandkeolyar SEED Grant 3.60 2 years 2017
29 On q-series Split n-colour partitions ans F-partitions Dr. Meenakshi Rana CSIR 15.00 3 years 2016
30 On Combinatorics of q-series, Rogers- Ramanujan type identities and split n-color partitions Dr. Meenakshi Rana NBHM 14.40 3 years 2016
31 Divisibility Conjecture and Existence of Non-Inner Automorphisms of order p for Non-Abelian Finite p-Groups Dr. Deepak Kumar Gumber SERB, DST 20.00 3 years 2016
32 Integrated behavior and performance analysis of some industrial systems Dr. Harish Garg SEED Grant 4.20 2 years 2016
33 Nonsmooth minimax fractional programming problems Dr. Vikas Sharma SEED Grant 3.00 2 years 2015
34 Non-Inner and Class-Preserving Automorphisms of Finite p-Groups Dr. Deepak Kumar Gumber NBHM 10.12 3 years 2014
35 Higher order Discontinuous Gelerkin method for unsteady incompressible Navier Stokes Equation Dr. Sapna Sharma DST 13.32 3 years 2014
36 Finite volume analysis of PDE Models arising in Neuronal Variability Dr. Parmjeet Singh SEED Grant 3.26 2 years 2014
37 Construction of some new iterative methods for solving nonlinear equations Dr. Sanjeev Kumar SEED Grant 5.00 2 years 2014
38 On L1-Convergence of trigonometric series with special coefficients Dr. Jatinderdeep kaur (PI) &
 Dr. S.S. Bhatia (Co-PI)
UGC 9.72 3 years 2013
39 Automorphisms of Finite p-Groups Dr. Deepak Kumar Gumber UGC 60.00 3 years 2013
Download Brochure