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Artículo
Analysis and numerical simulation of an induction–conduction model arising in steel heat treating
(Elsevier, 2012)
The goal of steel heat treating is to create a hard enough part over certain critical surfaces or volumes of the workpiece and at the same time keeping its ductility properties all over the rest of the workpiece. Weconsider ...
Artículo
Quantum social networks
(IOP Science, 2012)
We introduce a physical approach to social networks (SNs) in which each actor is characterized by a yes–no test on a physical system. This allows us to consider SNs beyond those originated by interactions based on ...
Artículo
Homological spanning forest framework for 2D image analysis
(2012)
A 2D topology-based digital image processing framework is presented here. This framework consists of the computation of a flexible geometric graph-based structure, starting from a raster representation of a digital image ...
Artículo
Cups products in Z2-cohomology of 3D polyhedral complexes
(2012)
Let I=(Z3,26,6,B) be a 3D digital image, let Q(I) be the associated cubical complex and let ∂Q(I) be the subcomplex of Q(I) whose maximal cells are the quadrangles of Q(I) shared by a voxel of B in the foreground -- the ...
Artículo
Homological optimality in Discrete Morse Theory through chain homotopies
(2012)
Morse theory is a fundamental tool for analyzing the geometry and topology of smooth manifolds. This tool was translated by Forman to discrete structures such as cell complexes, by using discrete Morse functions or ...
Artículo
A well-balanced finite volume-augmented lagrangian method for an integrated Herschel-Bulkley model
(Plenum Press, 2012)
We are interested in the derivation of an integrated Herschel-Bulkley model for shallow flows, as well as in the design of a numerical algorithm to solve the resulting equations. The goal is to simulate the evolution of ...
Artículo
On the description of Leibniz superalgebras of nilindex n+m
(Walter de Gruyter GmbH, 2012)
In this work we investigate the complex Leibniz superalgebras with characteristic sequence (n1, . . . , nk|m) and nilindex n + m, where n = n1 + · · ·+nk, n and m (m 6= 0) are dimensions of even and odd parts, ...
Artículo
Searching high order invariants in computer imagery
(2012)
In this paper, we present a direct computational application of Homological Perturbation Theory (HPT, for short) to computer imagery. More precisely, the formulas of the A ∞–coalgebra maps Δ 2 and Δ 3 using the notion of ...
Artículo
An MPI-CUDA implementation of an improved Roe method for two-layer shallow water systems
(Elsevier, 2012)
The numerical solution of two-layer shallow water systems is required to simulate accurately stratified fluids, which are ubiquitous in nature: they appear in atmospheric flows, ocean currents, oil spills, . . . Moreover, ...
Artículo
Designing a new software tool for digital imagery based on P systems
(2012)
In this paper we present a new software tool for dealing with the problem of segmentation in Digital Imagery. The implementation is inspired in the design of a tissue-like P system which solves the problem in constant time ...