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En esta tesis primero estudiamos la dinámica global de campos vectoriales planners en distintas situaciones: (I) el camp vectorial es polynomial homogéneo de grado cuatro; (II) el campo vectorial es dado por una función Hamiltonian polynomial con simetría (con respecto a la reflexión (x; y) -> (-...

In this thesis firstly we study the global dynamics of planar vector fields in different situations: (I) the vector field is a homogeneous polynomial of degree four; (II) the vector field is given by a symmetric (with respect to the reflection (x; y) -> (-x; y)) polynomial Hamiltonian function of...

Stochastic Partial Differential Equations are an essential tool for the analysis of scaling limits of a diverse array of microscopic models coming from other fields such as physics and chemistry. This type of equations correspond to classical partial differential equations to which one has added ...

El objetivo de esta tesis es contribuir al desarrollo de métodos numéricos para resolver ecuaciones provenientes del modelado de dispositivos de recolección de energía solar. El diseño óptimo de una celda solar fotovoltaica requiere de técnicas numéricas eficientes que proporcionen aproximaciones...

The goal of this thesis is to contribute to the development of numerical methods for solving equations arising from modeling light harvesting devices. The optimal design of a photovoltaic solar cell requires efficient solvers that provide accurate approximations of the solution of Maxwell or H...