Desarrollo y uso de materiales docentes para la enseñanza de las Matemáticas elaborados mediante software de cálculo numérico y simbólico

Memoria ID12-0216. Ayudas de la Universidad de Salamanca para la innovación docente, curso 2012-2013

eMAT2e: Elaboración de Materiales Matemáticos Electrónicos

Memoria ID-093. Ayudas de la Universidad de Salamanca para la innovación docente, curso 2013-2014

Malware propagation in Wireless Sensor Networks: global models vs Individual-based models

The main goal of this work is to propose a new framework to design a novel family of mathematical models to simulate malware spreading in wireless sensor networks (WSNs). An analysis of the proposed models in the scientific literature reveals that the great majority are global models based on systems of ordinary differential equations such that they do not consider the individual characteristics of the sensors and their local interactions. This is a major drawback when WSNs are considered. Taking into account the main characteristics of WSNs (elements and topologies of network, life cycle of the nodes, etc.) it is shown that individual-based models are more suitable for this purpose than global ones. The main features of this new type of malware propagation models for WSNs are stated

Numerical schemes for general Klein–Gordon equations with Dirichlet and nonlocal boundary conditions

[EN]In this work, we address the problem of solving nonlinear general Klein–Gordonequations (nlKGEs). Different fourth- and sixth-order, stable explicit and implicit, finite differenceschemes are derived. These new methods can be considered to approximate all type of Klein–Gordon equations (KGEs) including phi-four, forms I, II, and III, sine-Gordon, Liouville, dampedKlein–Gordon equations, and many others. These KGEs have a great importance in engineeringand theoretical physics.The higher-order methods proposed in this study allow a reduction in the number of nodes, whichmight also be very interesting when solving multi-dimensional KGEs. We have studied the stabilityand consistency of the proposed schemes when considering certain smoothness conditions of thesolutions. Additionally, both the typical Dirichlet and some nonlocal integral boundary conditionshave been studied. Finally, some numerical results are provided to support the theoretical aspectspreviously considere

The reversibility of cellular automata on trees with loops

[EN] In this work the notion of linear cellular automata on trees with loops is introduced and the reversibility problem in some particular cases is tackled. The explicit expressions of the inverse cellular automata are computed

A Mathematical Study of Barcelona Metro Network

The knowledge of the topological structure and the automatic fare collection systems in urban public transport produce many data that need to be adequately analyzed, processed and presented. These data provide a powerful tool to improve the quality of transport services and plan ahead. This paper aims at studying, from a mathematical and statistical point of view, the Barcelona metro network; specifically: (1) the structural and robustness characteristics of the transportation network are computed and analyzed considering the complex network analysis; and (2) the common characteristics of the different subway stations of Barcelona, based on the passenger hourly entries, are identified through hierarchical clustering analysis. These results will be of great help in planning and restructuring transport to cope with the new social conditions, after the pandemic.This research was funded by Ministerio de Ciencia, Innovación y Universidades (MCIU, Spain), Agencia Estatal de Investigación (AEI, Spain), and Fondo Europeo de Desarrollo Regional (FEDER, UE) under project NOTREDAMME and by Scientific Research Grant of the “Fundación Memoria D. Samuel Solórzano Barruso”, University of Salamanca

Las matemáticas en la ingeniería actual: aprendizaje basado en problemas y competencias

Memoria ID-0096. Ayudas de la Universidad de Salamanca para la innovación docente, curso 2017-2018

Desarrollo de un modelo de prácticas on-line para la consecución de competencias en microbiología en medicina y odontología

Memoria ID-0138. Ayudas de la Universidad de Salamanca para la innovación docente, curso 2015-2016

Evaluación de Competencias Matemáticas en titulaciones de Ciencias e Ingeniería

Memoria ID-027. Ayudas de la Universidad de Salamanca para la innovación docente, curso 2018-2019

Aprender y enseñar matemáticas hoy: nuevas reglas, nuevos roles

Memoria ID-0186. Ayudas de la Universidad de Salamanca para la innovación docente, curso 2016-2017