• Introducción a Freefem++ 

      Rodríguez Galván, Rafael (2018-04-23)
      El objetivo de la conferencia es presentar una introducción al uso del software de libre distribución freefem++ para resolver ecuaciones en derivadas parciales mediante el método de elemento finito. Se abordarán todos los ...
    • Introducción al Método de Elementos Finitos. 

      Gutiérrez Santacreu, Juan Vicente (2018-04-23)
      Se presentará una introducción a la formulación variacional de problemas elípiticos lineales y a su resolución numérica mediante métodos de elementos finitos. Se discutirá la implementación del método y se presentarán sus ...
    • Introducción al Método de Volúmenes finitos 

      Morales de Luna, Tomás (2018-04-23)
      Se presentará una introducción a las leyes de conservación escalares, incluyendo el cálculo de la solución de problemas de Riemann. Se presentarán los métodos de tipo Godunov y se discutirá la estabilidad en el caso lineal. ...
    • Iterated nonexpansive mappings 

      Llorens Fuster, Enrique (2018-05-03)
      We present a further study on fixed point theory for the so called iterated nonexpansive mappings, that is, mappings which are nonexpansive along the orbits. They are a direct generalization of the contraction type maps ...
    • Mathematical models in Developmental Biology 

      Calvo Yagüe, Juan (2016-11-29)
      We will introduce some of the mathematical modeling tools that have been introduced in the field of Developmental Biology, focusing in specific problems in embryogenesis. The use of multiscale models based on a combination ...
    • Métodos variacionales para problemas no variacionales 

      Pedregal, Pablo (2016-11-11)
      A partir de algunos resultados clásicos sobre problemas variacionales regulares y sus EDPs subyacentes, pretendemos tratar la situación más general de un problema no variacional sin una energía natural pero reteniendo las ...
    • Networks of hyperbolic balance laws 

      Borsche, Raul (2017-11-17)
      Models with networks of hyperbolic balance laws are currently used for several applications, e.g. river flows, the human circulatory system, gas pipelines or road networks. These motivations triggered a constant development ...
    • New hyperbolic models and numerical algorithms for Newtonian and general relativistic continuum physics 

      Dumbser, Michael (2019-07-04)
      We present arbitrary high order (ADER) finite volume and discontinuous Galerkin finite element schemes for the numerical solution of a new unified first order symmetric hyperbolic and thermodynamically compatible (SHTC) ...
    • On diffusively corrected multispecies kinematic flow models 

      Bürger, Raimund (2017-05-17)
      This presentation provides a survey of some recent results related to efficient numerical methods for the numerical solution of a class of convection-diffusion systems that arise as one-dimensional models of the flow of ...
    • On geophysical applications of two-layer and two-phase shallow models 

      Fernández Nieto, Enrique Domingo (2018-04-23)
      The main objective of this talk is to present some geophysical applications that can be studied with two-layer or two-phase shallow models. Namely, applications on avalanches and sediment transport problems. Firstly, several ...
    • Ondículas: historia, teoría y aplicación 

      Hernández, Eugenio (2019-10-02)
      La Academia Noruega de las Ciencias y las Letras concedió,el 23 de mayo de 2017, el premio Abel al matemático francés Yves Meyer, «por su importante papel en el desarrollo de la teoría matemática de las ondículas», según ...
    • Optimalidad en la conjetura débil de Muckenhoupt-Wheeden 

      Ombrosi, Sheldy J. (2018-03-06)
      En el año 2009 conjuntamente con A. Lerner y C. P\'erez probamos que la dependencia en relación a la constante $[w]_A_1$ de un peso $w$ en el tipo débil (1,1) de la cualquier operador de Calderón-Zygmund se puede controlar ...
    • Propensity Score Matching en evaluaciones de impacto: Efecto de la educación infantil sobre el rendimiento en matemáticas. 

      Dip, Juan Antonio (2019-10-04)
      Las evaluaciones de impacto pretenden responder un tipo particular de pregunta: ¿Cuál es el impacto (o efecto causal) de un programa en un resultado de interés? Para estimar dicho efecto, cualquier método de evaluación ...
    • Reduction of complexity and variational data assimilation 

      Maday, Yvon (2015-05-15)
      Reduced basis methods belong to a class of approaches of \emph{model reduction} for the approximation of the solution of mathematical models involved in many fields of research or decision making and in data assimilation. ...
    • Resultados de extrapolación y desigualdades con pesos entre espacios de Lebesgue y Lipschitz integrales 

      Cabral, Enrique Adrián (2015-06-10)
      En esta charla se dan resultados de extrapolación partiendo de hipótesis que contienen desigualdades en norma entre espacios de Lebesgue y Lipschitz integrales con pesos. Mediante técnicas de extrapolación, se ...
    • Sawyer’s problem and related open question for one-sided maximal functions 

      Li, Kangwei (2018-03-06)
      In this talk, I will introduce the Sawyer's conjecture, which was proposed by Sawyer in 1980s. Then in 2005, Cruz-Uribe, Martell and Pérez finally solved this conjecture, they also proposed a new conjecture, which can ...
    • A sharp interface approach for compressible multiphase flow 

      Munz, Claus-Dieter (2019-07-04)
      The numerical simulation of compressible multiphase flow is a difficult task due to the close connection of thermodynamics and fluid dynamics. Our approach is based on a sharp interface treatment. The two phases are coupled ...
    • The 2-weights problem for the Bergman projection and Sarason conjecture. 

      Reguera, María del carmen (2014-09-24)
      In the early 90's, D. Sarason posed conjectures on the characterization of the boundedness of Toeplitz products on Hardy and Bergman spaces (3). The Hardy space case attracted much attention because of its close relation ...
    • The Kolmogorov Law of turbulence: what can rigorously be proved? 

      Lewandowski, Roger (2015-05-15)
      We define a mathematical framework in which we can specify the Reynolds decomposition and the correlation tensors of an incompressible locally homogeneous and isotropic turbulent flow. After having fixed the technical ...
    • The Puerto Rico Tsunami Program after the 2004 Tsunami: Hazard and Vulnerability Assessment, Public Outreach and the Tsunami-Ready Program for Coastal Towns 

      Mercado Irizarry, Aurelio (2014-06-10)
      Prior to the 2004 Indian Ocean tsunami the Caribbean island of Puerto Rico had implemented the Puerto Rico Tsunami Warning and Mitigation Program, with a grant from the USA’s FEMA. This program ended in 2003. For several ...