https://hdl.handle.net/10481/41340 Sun, 19 Apr 2026 18:53:42 GMT 2026-04-19T18:53:42Z https://hdl.handle.net/10481/100768 Ecuaciones en derivadas parciales de transporte en teoría cinética y mecánica de fluidos Sánchez Romero, Óscar; Nieto Muñoz, Juan José Notas de la asignatura: EDP de Transporte en Teoría Cinética y Mecánica de Fluidos del máster FisyMat https://hdl.handle.net/10481/100768 https://hdl.handle.net/10481/100758 About the mathematical modeling of the interaction between human behaviors and socio-economics: Comment on “Modeling human behavior in economics and social science” by Marina Dolfin, Leone Leonida and Nisrine Outada Delgado Amaro, Antonia María; Nieto Muñoz, Juan José The interaction between human behaviors and socio-economics could have an important influence on the dynamics of our society, so the existing mathematical tools to model this complex connections deserve a whole overview. Paper "Modeling human behavior in economics and social science”, M. Dolfin, L. Leonida and N. Outada present a critical analysis, addressed to a general readership, including a description of basic features of social and economic systems, an overview of a variety of mathematical models, and they present the kinetic theory of active particles KTAP as an adequate framework to capture the main complexity of these features. Of course, the issue is not solved, but the paper shows a simple and efficient frame for possible development. https://hdl.handle.net/10481/100758 https://hdl.handle.net/10481/99006 A review about Nonlinear Noisy Leaky Integrate and Fire models for neural networks Cáceres Granados, María J. In these notes we analyse a family of self-contained mean field systems, called nonlinear noisy leaky integrate and fire (NNLIF) models, which describe the activity of neural networks by means of the membrane potential. These models are based on nonlinear systems of PDEs of Fokker-Planck type. We study the wide range of phenomena that appear in this kind of models: blow-up/global existence, asynchronous/synchronous solutions, instability/stability of the steady states... This review is intended to collect the main results of papers in collaboration with José A. Carrillo, Benoît Perthame, Pierre Roux, Ricarda Schneider and Delphine Salort. https://hdl.handle.net/10481/99006 https://hdl.handle.net/10481/77339 Horizontal accuracy assessment of a novel algorithm for approximate a surface to a DEM Barrera Rosillo, Domingo; Ibáñez Pérez, María José; Eddargani, Salah; Romero Zaliz, Rocio Celeste This study evaluates the horizontal positional accuracy of a new algorithm that defines a surface that approximates DEM data by means of a spline function. This algorithm allows evaluating the surface at any point in its definition domain and allows analytically estimating other parameters of interest, such as slopes, orientations, etc. To evaluate the accuracy achieved with the algorithm, we use a reference DEM 2 m × 2 m (DEMref) from which the derived DEMs are obtained at 4 m × 4 m, 8 m × 8 m and 16 m × 16 m (DEMder). For each DEMder its spline approximant is calculated, which is evaluated at the same points occupied by the DEMref cells, getting a resampled DEM 2x2m (DEMrem). The horizontal accuracy is obtained by computing the area amongs the homologous contour lines derived from DEMref and DEMrem, respectively. It has been observed that the planimetric errors of the proposed algorithm are very small, even in flat areas, where you could expect major differences. Therefore, this algorithm could be used when an evaluation of the horizontal positional accuracy of a DEM product at lower resolution (DEMpro) and a different producing source than the higher resolution DEMref is wanted. https://hdl.handle.net/10481/77339