Now showing items 1-10 of 23
Implementación de una plataforma computacional para la solución de PDE's elípticas, mediante FEM y descomposición de dominios BDDC.
En este trabajo se desarrolla una plataforma computacional en C++-CUDA, la cual introduce una serie de estructuras de datos que simplifican el manejo de memoria en CUDA. En la plataforma también se introducen elementos de ...
The role of short-term immigration on disease dynamics: An SIR model with age-structure
El rol de la inmigración en periodos cortos sobre la dinámica de enfermedades: un modelo sir con estructura de edad
We formulate an age-structured nonlinear partial differential equation model that features short-term immigration effects in a population. Individuals can immigrate into the population as any of the three stages in the ...
A nonlinear relapse model with disaggregated contact rates: Analysis of a forward-backward bifurcation
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 numerical implementation for the high-order 2D Virtual Element Method in MATLAB
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 two-level overlapping Schwarz method for H(curl) in two dimensions with irregular subdomains
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 ...
An adaptive choice of primal constrains for BDDC domain decomposition algorithms
An adaptive choice for primal spaces based on parallel sums is developed for BDDC deluxe methods and elliptic problems in three dimensions. The primal space, which forms the global, coarse part of the domain decomposition ...
A mathematical model with nonlinear relapse: conditions for a forward-backward bifurcation
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 ...
An overlapping preconditioner for 2D virtual problems posed in H(rot) with irregular subdomains
We present a two-level overlapping Schwarz preconditioner for problems posed in H(rot) in two dimensions, that extends previous methods for Nédélec elements (triangular meshes) to general polygonal partitions (virtual ...
A Two-Patch Epidemic Model with Nonlinear Reinfection
Un modelo epidémico de dos poblaciones con reinfección no lineal
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 partial differential equation model with age-structure and nonlinear recidivism: Conditions for a backward bifurcation and a general numerical implementation
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, ...