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

 

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