Brief Description of Research Activities

For the last fifteen to eighteen years, I have been actively involved in the

following major research programmes.

• Nonlinear Parabolic Free Boundary Problems
• Partial Integro-Differential Equations
• On Convergence of Finite Difference Methods for Generalized Solutions of Partial Differential Equations
• An H1-Mixed Finite Element Method
• Some Computational Issues in Oil Reservoir Studies
• Qualocation Methods for Time Dependent Partial Differential Equations
• Runge-Kutta Methods for Differential-Algebraic Equations (DAEs)
• Numerical Solutions to Some Nonlinear Problems
• Orthogonal Collocation Methods
• Existential Results for Integro-Differential and Partial Integro-Differential Equations