Exponential integrators represent an innovative class of numerical methods designed to address the challenges posed by stiff differential equations. By incorporating the matrix exponential to treat ...

The element‐free Galerkin (EFG) methods represent a significant progression in numerical analysis, harnessing meshless techniques to overcome challenges associated with conventional meshing. By ...

Optical systems employ a rich array of physical effects which are described by well-understood equations. However, for all but the simplest devices these equations are typically too complex to permit ...

In this research field we are developing advanced computational methods centered around efficient solution strategies for partial differential equations. In numerical analysis, we focus on developing ...

I grew up in a small, quiet beach town on Ecuador’s southern coast. Good weather and amazing food made Salinas a top touristic destination but, unfortunately, not a hub for engineering wonders. As a ...

Studying the equations of General Relativity and beyond, both analytically and with state-of-the-art simulations. Novel numerical and mathematical approaches can shed light on the structure and ...