Browsing Matemática by Title
Now showing items 1-20 of 230
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A basic model for the propagation of ideologies
(2022-11)Ideas and ideologies move the world and are involved in almost every aspect of human life and society. This paper presents a mathematical model for the propagation of two different ideologies in a group of people that could ... -
A BDDC algorithm with deluxe scaling for H(curl) in two dimensions with irregular subdomains
(2015)A bound is obtained for the condition number of a BDDC algorithm for problems posed in H(curl) in two dimensions, where the subdomains are only assumed to be uniform in the sense of Peter Jones. For the primal variable ... -
A brief survey of Higgs bundles
(2019-06)Considering a compact Riemann surface of genus greater or equal than two, a Higgs bundle is a pair composed of a holomorphic bundle over the Riemann surface, joint with an auxiliar vector field, so-called Higgs field. This ... -
A Geometric Splitting Theorem
(2019)Let G = G1...Gl be a connected noncompact semisimple Lie group with Lie algebra g = g_1+g_2+....+ g_l acting topologically transitive on a manifold M. We obtain a geometric splitting of the metric on M that consider ... -
A mathematical model with nonlinear relapse: conditions for a forward-backward bifurcation
(2023)We constructed a Susceptible-Addicted-Reformed model and explored the dynamics of nonlinear relapse in the Reformed population. The transition from susceptible considered at-risk is modeled using a strictly decreasing ... -
A mixed-primal finite element approximation of a sedimentation–consolidation system
(2016)This paper is devoted to the mathematical and numerical analysis of a strongly cou- pled flow and transport system typically encountered in continuum-based models of sedimentation–consolidation processes. The model focuses ... -
A mixed-primal finite element method for the coupling of Brinkman-Darcy flow and nonlinear transport.
(2021-01)This paper is devoted to the mathematical and numerical analysis of a model describing the interfacial flow-transport interaction in a porous-fluidic domain. The medium consists of a highly permeable material, where the ... -
A Multilayer Network Model implementation for COVID-19
(2021)We present a numerical implementation for a multilayer network to model the transmission of Covid-19 or other diseases with a similar transmission mechanism. The model incorporates different contact types between individuals ... -
A multilayer network model of Covid-19: implications in public health policy in Costa Rica
(2022-05)Successful partnerships between researchers, experts, and public health authorities have been critical to navigate the challenges of the Covid-19 pandemic worldwide. In this collaboration, mathematical models have played ... -
A new coarse space for overlapping Schwarz algorithms for H(curl) problems in three dimensions with irregular subdomains
(2019)A new coarse space for a two-level overlapping Schwarz algorithm is presented for problems posed in three dimensions in the space H(curl, Ω). Previous studies for these methods are very restrictive about the geometry of ... -
A nonlinear relapse model with disaggregated contact rates: Analysis of a forward-backward bifurcation
(2023-09)Throughout the progress of epidemic scenarios, individuals in different health classes are expected to have different average daily contact behavior. This contact heterogeneity has been studied in recent adaptive models ... -
A nonperturbative form of the spectral action principle in noncommutative geometry
(1998-07)Using the formalism of superconnections, we show the existence of a bosonic action functional for the standard K-cycle in noncommutative geometry, giving rise, through the spectral action principle, only to the Einstein ... -
A numerical implementation for the high-order 2D Virtual Element Method in MATLAB
(2021)We present a numerical implementation for the Virtual Element Method that in- corporates high order spaces. We include all the required computations in order to assemble the stiffness and mass matrices, and right hand ... -
A partial differential equation model with age-structure and nonlinear recidivism: Conditions for a backward bifurcation and a general numerical implementation
(2019-12-15)We formulate an age-structured three-staged nonlinear partial differential equation model that features nonlinear recidivism to the infected (infectious) class from the temporarily recovered class. Equilibria are computed, ... -
A posteriori error analysis for a viscous flow-transport problem
(2016)In this paper we develop an a posteriori error analysis for an augmented mixed-primal finite element approximation of a stationary viscous flow and transport problem. The governing system corresponds to a scalar, nonlinear ... -
A posteriori error analysis of a fully-mixed formulation for the Brinkman–Darcy problem
(2017-09-05)We develop the a posteriori error analysis for a mixed finite element method applied to the coupling of Brinkman and Darcy equations in 3D, modelling the interaction of viscous and non-viscous flow effects across a given ... -
A posteriori error analysis of mixed finite element methods for stress-assisted diffusion problems
(2022)We develop the a posteriori error analysis for mixed-primal and fully-mixed finite element methods approximating the stress-assisted diffusion of solutes in elastic materials. The systems are formulated in terms of stress, ... -
A two-level overlapping Schwarz method for H(curl) in two dimensions with irregular subdomains
(2015-10-07)A bound is obtained for the condition number of a two-level overlapping Schwarz algorithm for problems posed in H(curl) in two dimensions, where the subdomains are only assumed to be John subdomains. The coarse space is ... -
A two-patch epidemic model with nonlinear reinfection
(2020)The propagation of infectious diseases and its impact on individuals play a major role in disease dynamics, and it is important to incorporate population heterogeneity into efforts to study diseases. As a simplistic but ... -
A two-step estimation procedure for locally stationary ARMA processes with tempered stable innovations
(2023-03)The class of locally stationary processes assumes a time-varying (tv) spectral representation and finite second moment. Different areas have observed phenomena with heavy tail distributions or infinite variance. Using ...