Simulación de ecuaciones de reacción-difusión mediante autómatas de gas reticular : aplicación a vertidos costeros

Doctorado en Ciencias del Mar

Sistema basado en conocimiento para segmentación de imágenes. Desarrollos y aplicaciones

Doctorado en Informática. Programa de Percepción Artificial y Aplicaciones

Algoritmos de desrefinamiento en mallados estructurados bidimensionales

Programa de doctorado en el método de los elementos finitos en la Ingeniería

Precondicionamiento de sistemas de ecuaciones de matrices variables en la modelización de campos de viento

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A forgotten little chapter on isoperimetric inequalities. On the fraction of a convex and closed plane area lying outside a circle with which it shares a diameter

[EN]Often some interesting or simply curious points are left out when developing a theory. It seems that one of them is the existence of an upper bound for the fraction of area of a convex and closed plane area lying outside a circle with which it shares a diameter, a problem stemming from the theory of isoperimetric inequalities. In this paper such a bound is constructed and shown to be attained for a particular area. It is also shown that convexity is a necessary condition in order to avoid the whole area lying outside the circle

Following the steps of spanish mathematical analysis: from Cauchy to Weierstrass between 1880 and 1914

[EN] Rigorous Mathematical Analysis in the Cauchy style was not accepted in a straightforward manner by the European mathematical community of the central years of the 19th Century. In average, only around forty years after the 1821 Cours d'Analyse did Cauchy's treatment become a standard in the more mathematically advanced countries, as a paradigm that remained in use until the arithmetisation of Analysis by Weierstrass replaced it before the end of the century. ln this paper the authors show how rigorous Mathematical Analysis à la Cauchy was adopted in Spain quite late -around 1880- and how in sorne more forty years, the Weierstrassian formulation became the usual presentation in Spanish texts

Efecto de la presión hiperbárica y diferentes presiones parciales de gases sobre la modulación vegetativa de la respuesta cardiaca : aplicación de métodos lineales y no lineales en el análisis de VFC

Programa de doctorado: Actividad Física, Salud y Rendimiento Deportivo

Evaluación del impacto medioambiental sobre zonas costeras en condiciones de oleaje y contaminación extremales

[ES] En este trabajo se utilizan los principios generales de la óptica geométrica y la forma del espectro teórico de oleaje TMA (basado en datos experimentales) para derivar un modelo numérico aplicable en aguas de poca profundidad, cuyo objetivo final es prever los impactos medioambientales provocados en condiciones de oleaje y contaminación extremales. Este modelo es puesto en práctica en una zona costera del archipiélago canario, siendo sus resultados bastante coherentes con los observados en situaciones reales.

Local cohomology with supports in the non-free locus

[EN] The groups of local cohomology with supports in the non-free locus of a module are used in order to obtain three classifications and one characterization of four classes of modules

El diseño natural de la máquina visual

[ES] Ilustra dos vías matemáticas (la optimización de estructuras y la discretización del procesado de información) para explicar los fenómenos observados en las relaciones entre la estructura y la función de neuronas del sistema visual, que suponen una innovación metológica en la modelización forman de estructuras neuronales.

A fixed point theorem for Meir-Keeler contractions in ordered metric spaces

[EN] The purpose of this paper is to present some fixed point theorems for Meir-Keeler contractions in a complete metric space endowed with a partial order. MSC: 47H10.

On existence and uniqueness of positive solutions to a class of fractional boundary value problems

[EN] The purpose of this paper is to investigate the existence and uniqueness of positive solutions for the following fractional boundary value problem D 0 + α u ( t ) + f ( t , u ( t ) ) = 0 , 0 < t < 1 , u ( 0 ) = u ( 1 ) = u ′ ( 0 ) = 0 , where 2 < α ≤ 3 and D 0 + α is the Riemann-Liouville fractional derivative. Our analysis relies on a fixed-point theorem in partially ordered metric spaces. The autonomous case of this problem was studied in the paper [Zhao et al., Abs. Appl. Anal., to appear], but in Zhao et al. (to appear), the question of uniqueness of the solution is not treated. We also present some examples where we compare our results with the ones obtained in Zhao et al. (to appear). 2010 Mathematics Subject Classification: 34B15

Contractive-like mapping principles in ordered metric spaces and application to ordinary differential equations

[EN] The purpose of this paper is to present a fixed point theorem for generalized contractions in partially ordered complete metric spaces. We also present an application to first-order ordinary differential equations.

Existence and uniqueness of positive and nondecreasing solutions for a class of singular fractional boundary value problems

[EN] We establish the existence and uniqueness of a positive and nondecreasing solution to a singular boundary value problem of a class of nonlinear fractional differential equation. Our analysis relies on a fixed point theorem in partially ordered sets.