Research Focus

Dynamical  Systems:

• Bio-Fluid Dynamics
•  Population Dynamics
• Modelling Problems involving system of non-linear, ordinary as well as delay differential equations
  •  Theory of harmless delays
  •  Soil Dynamics

Linear Algebra

• Bounds for the spectral radius, singular values, numerical radius etc.
• Problems in spectra of graphs

Topology

• Non-Euclidean Spacetime Topologies
• Generalization of Complete invariance property to periodic points
•  Compactification
• Special Functions Theory
  • Study of Hypergeometric functions

Optimization

• Fuzzy Optimization
• Combinatorial Optimization
• Application of evolutionary techniques for solving optimization problems related to graph layouts
  • Dual matrix approach for solving transportation problems.

Software Engineering/ Evolutionary Techniques

• Software Testing and Metrics
•  Theory of Evolutionary Techniques

Numerical Analysis

• Numerical Solutions of Partial Differential Equations

Collaborations

• Christian Albrecht University, Kiel, Germany
• Eritria Institute of Technology, Eritria
• Department  of Statistics and Operations Research,  University of Valencia, Spain