My current research interests focus mainly on the theory of numerical methods for differential and differential-algebraic equations with special emphasis to global error estimation and control techniques. They also include application of adaptive ODE solvers with global error control to fluid mechanics and nonlinear Kalman filtering. I have published widely in national and international peer-reviewed journals and obtained a number of research grants. Over the years, I have taught several undergraduate and graduate courses in computational mathematics, numerical methods for differential equations, computational linear algebra, and prepared a number of M.Sc. and Ph.D. students. I have also supervised post-doctoral research projects in my area of interests.