Matemáticas y Aplicaciones

URI permanente para esta comunidad

https://hdl.handle.net/10784/27490

En primer lugar resaltamos que el grupo promueve el trabajo colaborativo, multidisciplinario e interinstitucional, el cual propende por conocer y resolver las problemáticas del entorno y de la matemática misma, y así aportar a la generación de nuevo conocimiento en el campo de las matemáticas y en aquellas disciplinas que permitan soluciones desde la matemática, como la ingeniería, la biología, la economía, etc., teniendo presente que la base de la innovación y el desarrollo tecnológico es la ciencia básica, y en especial la matemática que es un área transversal en el mundo del conocimiento.

Líneas de investigación: Geometría e Información; Optimización y Heurística; Solución Numérica de Ecuaciones Direferenciales.
Código Minciencias: COL0000523.
Categoría 2019: A.
Escuela: Ciencias.
Coordinador: Gabriel Ignacio Loaiza Ossa.
Correo electrónico: gloaiza@eafit.edu.co

Examinar

Mostrando 1 - 20 de 93

A Metaheuristic Approach for the Cumulative Capacitated Arc Routing Problem
(Springer, 2018-09-12) Lenis, Sergio Andres; Carlos Rivera, Juan
In this paper we propose a new variant of the capacitated arc routing problem (CARP). In this new problem the objective function becomes a cumulative objective computed as the traveled distance multiplied by the vehicle load. A metaheuristic approach
A Mixed-Integer Linear Programming Model for a Selective Vehicle Routing Problem
(Springer International Publishing, 2018-09-03) Rivera, Juan Carlos; Posada, Andrea; PALACIO, JUAN DAVID
A Riemannian geometry in the q-exponential banach manifold induced by q-divergences
(2013-01-01) Quiceno, Hector Román; Loaiza, G; Arango, Juan C
For the family of non-parametric q-exponential statistical models, in a former paper, written by the same authors, a differentiable Banach manifold modelled on Lebesgue spaces of real random variables has been built
A Riemannian Geometry in the q-Exponential Banach Manifold Induced by q-Divergences
(2014-01-01) QUICENO, HECTOR ROMÁN
ADOMIAN DECOMPOSITION METHOD AND TAYLOR SERIES METHOD IN ORDINARY DIFFERENTIAL EQUATIONS
(2013-08-01) Sanchez, Jose Albeiro; Sanchez, Jose Albeiro; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
Adomian Decomposition Method for a Class of Nonlinear Problems
(Hindawi Publishing Corporation, 2011-01-01) Cano, JAS; Cano, JAS; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
The Adomian decomposition method together with some properties of nested integrals is used to provide a solution to a class of nonlinear ordinary differential equations and a coupled system
Advances of implicit description techniques in modelling and control of switched systems
(Springer Verlag, 2020-01-01) Bonilla Estrada M.; Malabre M.; Azhmyakov V.
Our contribution is devoted to a constructive overview of the implicit system approach in modern control of switched dynamic models. We study a class of non-stationary autonomous switched systems and formally establish the existence of solution. We next incorporate the implicit systems approach into our consideration. At the beginning of the contribution, we also develop a specific system example that is used for illustrations of various system aspects that we consider. Our research involves among others a deep examination of the reachability property in the framework of the implicit system framework that we propose. Based on this methodology, we finally propose a resulting robust control design for the switched systems under consideration and the proposed control strategy is implemented in the context of the illustrative example. © Springer Nature Switzerland AG 2020.
Algebra Lineal
(Fondo Editorial Universidad EAFIT, 2012-01-01) Garcia, Orlando; Jairo Villegas, G.; Castano, JI; Garcia, Orlando; Jairo Villegas, G.; Castano, JI; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
Los autores de Álgebra lineal, a partir de su larga experiencia como profesores en diferentes temas del área de las matemáticas, presentan este texto que busca recoger las necesidades propias de los procesos académicos
An alternative model to explain the vectorial capacity using as example Aedes aegypti case in dengue transmission
(Elsevier BV, 2019-01-01) Catano-Lopez A.; Rojas-Diaz D.; Laniado H.; Arboleda-Sánchez S.; Puerta-Yepes M.E.; Lizarralde-Bejarano D.P.; Catano-Lopez A.; Rojas-Diaz D.; Laniado H.; Arboleda-Sánchez S.; Puerta-Yepes M.E.; Lizarralde-Bejarano D.P.; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
Vectorial capacity (VC), as a concept that describes the potential of a vector to transmit a pathogen, has had historical problems related to lacks in dimensional significance and high error propagation from parameters that take part in the model to output. Hence, values estimated with those equations are not sufficiently reliable to consider in control strategies or vector population study. In this paper, we propose a new VC model consistent at dimensional level, i.e., the definition and the equation of VC have same and consistent units, with a parameter estimation method and mathematical structure that reduces the uncertainty in model output, using as a case of study an Aedes aegypti population of the municipality of Bello, Colombia. After a literature review, we selected one VC equation following biological, measurability and dimensional criteria, then we rendered a local and global sensitivity analysis, identifying the mortality rate of mosquitoes as a target component of the equation. Thus, we studied the Weibull and Exponential distributions as probabilistic models that represent the expectation of mosquitoes infective life, intending to include the best distribution in a selected VC structure. The proposed mortality rate estimation method includes a new parameter that represents an increase or decrease in vector mortality, as it may apply. We noticed that its estimation reduces the uncertainty associated with the expectation of mosquitoes' infective life expression, which also reduces the output range and variance in almost a half. Virology; Applied mathematics; Health sciences; Epidemiology; Infectious disease; Mortality; Uncertainty analysis; Vectorial capacity; Sensitivity analysis; Dengue © 2019 The Authors
Analysis of the stability and dispersion for a Riemannian acoustic wave equation
(ELSEVIER SCIENCE INC, 2019-01-15) Quiceno, H. R.; Arias, C.; Quiceno, H. R.; Arias, C.; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
The construction of images of the Earth's interior using methods as reverse time migration (RTM) or full wave inversion (FWI) strongly depends on the numerical solution of the wave equation. A mathematical expression of the numerical stability and dispersion for a particular wave equation used must be known in order to avoid unbounded numbers of amplitudes. In case of the acoustic wave equation, the Courant–Friedrich–Lewy (CFL) condition is a necessary but is not a sufficient condition for convergence. Thus, we need to search other types of expression for stability condition. In seismic wave problems, the generalized Riemannian wave equation is used to model their propagation in domains with curved meshes which is suitable for zones with rugged topography. However, only a heuristic version of stability condition was reported in the literature for this equation. We derived an expression for stability condition and numerical dispersion analysis for the Riemannian acoustic wave equation in a two-dimensional medium and analyzed its implications in terms of computational cost. © 2018 Elsevier Inc.
Analysis with wavelets of electrocardiographic alterations in chronic Chagas patients
(BOARD, 2013-01-01) Riveros, Fernando; Jairo A Villegas G; Riveros, Fernando; Jairo A Villegas G; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Aplicación de un modelo de a un molino de bolas en la industria del cemento
(Fondo Editorial Universidad EAFIT, 2014-01-01) LOAIZA, GABRIEL IGNACIO; LOAIZA, GABRIEL IGNACIO; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
Aplicación de un modelo de balance poblacional a un molino de bolas en la industria del cemento
(Fondo Editorial Universidad EAFIT, 2014-06-01) Loaiza, G; Rivera, Ismael; Quintero, Freddy; Bustamante, Oswaldo; Loaiza, G; Rivera, Ismael; Quintero, Freddy; Bustamante, Oswaldo; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
En este artículo se estudia un molino rotatorio continuo para la industria del cemento. Precisamente, se emplea un modelo de balance poblacional, utilizando como ecuación constitutiva una ley de desgaste constante, con el objetivo...
An Application of Hensel's Lemma and Puiseaux series to the problem of the existence of limits of quotients of real analytic functions
(ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD, 2012-10-01) Vélez, Juan Diego; Vélez, Juan Diego; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
An approach to emotion Recognition in Single-channel EEG Signals using Stationary Wavelet Transform
(SPRINGER, 2017-04-01) MEJIA, GUSTAVO ANTONIO; QUINTERO, OLGA LUCIA; MEJIA, GUSTAVO ANTONIO; QUINTERO, OLGA LUCIA; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
An approach to emotion recognition in single-channel EEG signals using stationarywavelet transform
(SPRINGER, 2017-01-01) Gómez, A.; Quintero, L.; López, N.; Castro, J.; Villa, L.; Mejía, G.; Gómez, A.; Quintero, L.; López, N.; Castro, J.; Villa, L.; Mejía, G.; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
In this work, we perform an approach to emotion recognition from Electroencephalography (EEG) single channel signals extracted in four (4) mother-child dyads experiment in developmental psychology. Single channel EEG signals are decomposed by several types of wavelets and each subsignal are processed using several window sizes by performing a statistical analysis. Finally, three types of classifiers were used, obtaining accuracy rate between 50% to 87% for the emotional states such as happiness, sadness and neutrality. © Springer Nature Singapore Pte Ltd. 2017.
Bidomain model solution using the finite volume method
(Hikari Ltd., 2016-01-01) Jairo Villegas, G.; Jorge Castaño, B.; Javier Gil, G.; Andrei González, G.; Jairo Villegas, G.; Jorge Castaño, B.; Javier Gil, G.; Andrei González, G.; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
In this paper we consider cardiac electrical activity through bidomain model, to describe the electrical behavior of cardiac tissue, based on current flow, electric potential distribution and conservation of charge. So we use the finite volume scheme built on rectangular meshes. Discretizing will focus on existing algorithms for elliptic and parabolic equations, with convergence guaranteed by the classical theory. © 2016 Jairo Villegas G.
Characterization of the maximal ideal of operators associated to the tensor norm defined by an Orlicz function
(HELDERMANN VERLAG, 2001-01-01) Loaiza, G; Molina, JAL; Rivera, MJ; Loaiza, G; Molina, JAL; Rivera, MJ; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
Given an Orlicz function H satisfying the 2 property at zero, one can use the Orlicz sequence space lH to define a tensor norm gHc and the minimal (Hc-nuclear) and maximal (Hc-integral) operator ideals associated to gHc in the sense of Defant and Floret. The aim of this paper is to characterize Hc-integral operators by a factorization theorem. © Heldermann Verlag.
Consistent approximations of the control - Affine systems with bounded uncertainties: Application to the controlled lotka - Volterra dynamics
(Institute of Electrical and Electronics Engineers Inc., 2019-01-01) Azhmyakov V.; Londono C.; Osorio P.; Rojas A.; Puerta M.E.; Trujillo L.A.G.; Azhmyakov V.; Londono C.; Osorio P.; Rojas A.; Puerta M.E.; Trujillo L.A.G.; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
Our contribution is devoted to constructive approximations of a wide class of the modern control systems, namely, of the general control-affine dynamic models. We consider the generic tracking control problem associated with the control-affine systems in the presence of bounded uncertainties. The conventional linearization based solution approach to the tracking problem under consideration is finally refined and extended by a novel analytic errors estimation technique. Theoretic results developed in our contribution are applied to a practically motivated example of the controlled Lotka-Volterra system. © 2019 IEEE.
Detección de puntas epilépticas en señales electroncefalográficas para pacientes con epilepsia del lóbulo temporal utilizando wavelets
(Fondo Editorial Universidad EAFIT, 2009-06-01) VILLEGAS, JAIRO ALBERTO; VILLEGAS, JAIRO ALBERTO; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones

Examinar

Examinando Matemáticas y Aplicaciones por Título

Resultados por página

Opciones de ordenación