I have research interests in the areas of numerical analysis and differential equations as these areas relate to the problems of fluid flow through porous media, mathematical biology, especially population models, bone remodeling, tissue regeneration and biofilm growth.
In addition, I am also working on perturbation and numerical techniques for two point boundary value problems with sharp layers and reaction terms, and for water waves. I am also interested in bifurcation, in non standard numerical methods, differential equations with random coefficients and in scientific computation in general.