Listar Investigación por procedencia "UCR::Vicerrectoría de Docencia::Ciencias Básicas::Facultad de Ciencias::Escuela de Matemática"
Mostrando ítems 1-20 de 219
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4th graders’ working on a functional context: generalization levels and influence of stimuli
(2018)In the last decades studies about the early algebra proposal have provided evidences of elementary students’ algebraic skills since early ages. Some of these studies (e.g. Blanton & Kaput, 2011) address algebra from a ... -
A aprendizagem da álgebra linear num contexto de modelação matemática: uma experiência de ensino com estudantes costarriquenhos do ensino superior
(2020)Este estudo visa compreender as aprendizagens de conceitos de álgebra linear e as competências de modelação postas em prática por estudantes universitários da Costa Rica, no contexto de uma experiência de ensino apoiada ... -
A aprendizagem de conceitos de probabilísticos: uma experiência de ensino com recurso ao Geogebra com alunos do 100 ano da Costa Rica
(2019-06)Neste artigo, apresentamos os resultados de um estudo que visa compreender as aprendizagens de conceitos básicos de Probabilidade, de alunos costarriquenhos do 10.º ano, no quadro de uma experiência de ensino apoiada em ... -
A aprendizagem dos conceitos básicos de Probabilidade com recurso ao Geogebra: um estudo com alunos da Costa Rica
(2017)Esta investigação surge da minha preocupação em melhorar as aprendizagens dos alunos de conceitos básicos de Probabilidade. Tem como objetivos compreender de que modo os alunos costarriquenhos do 10.º ano aprendem os ... -
A aprendizagem dos conceitos de acontecimentos disjuntos e complementares com recurso ao Geogebra
(2019)Nesta comunicação, apresentamos os resultados de um estudo que visa compreender como alunos costarriquenhos do 10.º ano aprendem conceitos básicos de Probabilidade, no âmbito de uma experiência de ensino apoiada em tarefas ... -
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 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 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 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 a semi-augmented finite element method for double-diffusive natural convection in porous media
(2024)This paper presents our contribution to the a posteriori error analysis in 2D and 3D of a semi-augmented mixed-primal finite element method previously developed by us to numerically solve double-diffusive natural convection ... -
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, ...