proyecto nac

Some applications of the Functional Analysis to solve nonlinear equations, optimization problems and cyclicity problems

PI (subproject 1): Genaro López Acedo PI (subproject 2): Jesús García Falset Abstract: In this Project, different classes of linear and nonlinear operators are studied at the time that connections among several branches of Mathematical Analysis such as Geometry of Banach and Metric Spaces, Metric and Topological Fixed Point Theory, Optimization, Cyclic Operators and Linearity …

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Collective Decisions in Competitive and Collective Contexts

PI: Amparo María Mármol Conde Abstract: The general aim of this project is the investigation of collective decision-making where the interaction between the agents involved is a relevant issue and has an important effect on the results. These situations are common in numerous economic, social and political environments and can be represented by strategic and cooperative …

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Algebraic Topology for Combinatorial Analysis of Images

PI: Rocío González Díaz Abstract: The field of image analysis is concerned with analysing and extracting information from images, as a whole, and the objects within, as its parts. Combinatorial image analysis, a subfield of image analysis, studies combinatorial properties of digital images (more generally any digital data-set). Algebraic topology is a field of mathematics concerned …

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Advances in Computational Topology and Applications

PI: Rocío González Díaz Abstract: The general aim of our research is to study fundamental problems that arise in computational topology and their interaction with data analysis and machine learning. The project is divided into three fundamental sections: 1. Advances in computational algebraic topology. The first part of the project is devoted to studying the computability …

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PDEs for Biological models with Chemotaxis and Nonlocal effects

PI: Antonio Suárez Fernándezco-PI: Francisco Guillén González  Abstract: Mathematics has long been intertwined with biological sciences. The synergy between biology and mathematics seems to enrich both fields. Biology is increasingly stimulating the creation of new mathematical theories to explain in a simplified way the complexity of the world of living organisms. On the other hand, the …

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Modelización de Orden Reducido Orientada al Diseño Eco-Eficiente de Edificios

PI: Tomás Chacón Rebollo co-PI: Macarena Gómez Mármol Abstract: World energy needs make it necessary the research in energy saving procedures and renewable energy sources, to contribute to sustainable development. This project is focused on the analysis and structural optimization of courtyards as elements of energy saving in the acclimatization of buildings, as well as …

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Modelos multicapa no-hidrostáticos relajados y métodos numéricos de alto orden bien equilibrados para flujos geofísicos

PI: Enrique D. Fernández Nieto  Abstract: The main objective of this project is to introduce new multilayer non-hydrostatic mathematical models for the simulation of geophysical flows such as tsunami waves, storm surges, debris flows, landslides, etc. that can be used to model real-world problems. A relaxation strategy will be used to impose weakly the zero divergence …

Modelos multicapa no-hidrostáticos relajados y métodos numéricos de alto orden bien equilibrados para flujos geofísicos Leer más »

Desarrollo, análisis e implementación eficiente de métodos numéricos de alto orden para modelos simplificados de fluidos con incertidumbre en los datos

PI: Enrique D. Fernández Nieto  Abstract: The objectives of the project are: Development of numerical schemes for nonconservative hyperbolic systems: we aim to complete the investigation of the convergence properties of path-conservative numerical methods and to obtain new families of numerical schemes with improved properties. Application to the simulation of geophysical flows: in order to achieve …

Desarrollo, análisis e implementación eficiente de métodos numéricos de alto orden para modelos simplificados de fluidos con incertidumbre en los datos Leer más »

Desarrollo de simuladores hidrodinámicos y morfodinámicos eficientes para la evaluación y previsión de riesgos II

PI: Enrique D. Fernández Nieto  Abstract: The main objective of this project is the development of numerical simulators in the field of hydro and morphodynamics that constitute useful tools for the evaluation and forecasting risks related to natural  catastrophes.  From a modeling point of view, new models will be developed for simulation of floods; generation and …

Desarrollo de simuladores hidrodinámicos y morfodinámicos eficientes para la evaluación y previsión de riesgos II Leer más »