We present several applications governed by geometric PDE, and their parametric finite element discretization, which might yield singular behavior. The success of such discretization hinges on an adequate variational ...

The discrete mollification method is a data smoothing procedure, based on convolution, that is appropriate for the stabilization of explicit schemes for the numerical solution of partial differential equations and the ...

Our goal is the study of identification problems in the framework of transport equations with fractional derivatives. We consider time fractional diffusion equations and space fractional advection dispersion equations. The ...

El estudio de la degradación de Tricloroetileno (TCE) en aire en un reactor fotocatalítico con dióxido de titanio depositado sobre un lecho fijo ha permitido obtener en un trabajo previo, una expresión cinética que contempla ...

The text begins with a brief description of differential Galois theory from a geometrical perspective. Then, parameterized Galois theory is developed by means of prolongation of partial connections to the jet bundles. The ...

We provide a data-driven synthesis framework for some complex systems. The proposed fra- mework relies on the linear operator theory involving the Koopman operator. Our first results employ Koopman-based lifting for the ...