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An overlapping Schwarz method for virtual element discretizations in two dimensions
(2019)
A new coarse space for domain decomposition methods is presented for nodal ellipticproblems in two dimensions. The coarse space is derived from the novel virtual elementmethods and therefore can accommodate quite irregular ...
Uniform sparse bounds for discrete quadratic phase Hilbert transforms
(2017-09)
Consider the discrete quadratic phase Hilbert Transform acting on $\ell^{2}(\mathbb{Z})$ finitely supported
functions
$$
H^{\alpha} f(n) : = \sum_{m \neq 0} \frac{e^{i\alpha m^2} f(n - m)}{m}.
$$
We prove that, ...
Virtual Coarse Spaces for Irregular Subdomain Decompositions
(2020-10-25)
On the other hand, Virtual Element Methods (VEM) [1, 12, 13] allow to handle general polygonal elements. In the case of triangular elements, VEM reduces to the usual FEM. Thus, VEM is a natural choice for constructing space ...
Dengue model with early-life stage of vectors and age-structure within host
Modelo de dengue con etapa temprana en vectores y estructura de edad en el huésped
(2019-12)
We construct an epidemic model for the transmission of dengue fever with an early-life stage in the vector dynamics and age-structure within hosts. The early-life stage of the vector is modeled via a general function that ...
Parameter estimates of the 2016-2017 Zika outbreak in Costa Rica: An Approximate Bayesian Computation (ABC) approach
(2019-03-28)
In Costa Rica, the first known cases of Zika were reported in 2016. We looked at the 2016-2017 Zika outbreak and explored the transmission dynamics using weekly reported data. A nonlinear differential equation single-outbreak ...
A Two-Patch Epidemic Model with Nonlinear Reinfection
Un modelo epidémico de dos poblaciones con reinfección no lineal
(2019-12)
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 ...
Sparse bounds for the discrete spherical maximal functions
(2020)
We prove sparse bounds for the spherical maximal operator of Magyar, Stein and Wainger. The bounds are conjecturally sharp, and contain an endpoint estimate. The new method of proof is inspired by ones by Bourgain and ...
Sparse bounds for Bochner–Riesz multiplers
(2019)
The Bochner–Riesz multipliers are shown to satisfy a range of sparse bounds. The range of sparse bounds increases to the optimal range, as δ increases to the critical value, even assuming only partial information on the ...
Parallel Sums and Adaptive BDDC Deluxe
(2017)
There has recently been a considerable activity in developing adaptive methods for the selection of primal constraints for BDDC algorithms and, in particular, for BDDC deluxe variants. The primal constraints of a BDDC or ...
Infection model for analyzing biological control of coffee rust using bacterial anti-fungal compounds
(2019-01)
Coffee rust is one of the main diseases that affect coffee plantations worldwide (Cressey, 2013 [10]). This causes an important economic impact in the coffee production industry in countries where coffee is an important ...