My current research interest is in the numerical solution of spectral problems and ordinary differential equations, more specifically, the computation of eigenvalues of differential operators of Sturm-Liouville type and of more general forms. I introduced two new techniques which are giving excellent results. The approaches introduced are based on the concepts of iterated integrals and Fliess series on the one hand and sampling theory on the other. Specifically I am considering,
I am also investigating
Nonlinear Systems. I have been working on their functional representation, stability and optimal control. I have introduced the idea of using the so-called Adomian Decomposition method in 1997.