My main research interests lie in solving singular and nonlinear partial differential equations via adaptive and/or splitting
finite difference methods. I am particularly interested in problems with important practical applications,
such as those in electro-optics, quenching-combustion, solitary waves; singularly perturbed phenomena, fluid dynamics, and that in
multiphysics or engineering fields.
I am also interested in the theory and methods for numerical reproducibility and hybrid computations with real applications.