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A fully adaptive numerical approximation for a two-dimensional epidemic model with nonlinear cross-diffusion
(PERGAMON-ELSEVIER SCIENCE LTD, 2011)
The quasi-deterministic limit of population dynamics
(Centre for Environment & Socio-Economic Research, 2012-02)
We discuss and compare different, but related, approximations to the stochastic dynamics of populations, all of them having as limit the same deterministic dynamics. The diffusion approximation,linearized diffusion ...
A Free Boundary Model for Oxygen Diffusion in A Spherical Medium
(World Scientific, 2015-08)
The goal of this article is to find a correct approximated solution using a polynomial of sixth degree for the free boundary problem corresponding to the diffusion of oxygen in a spherical medium with simultaneous absorption ...
Nonlocal diffusions on fractals. Qualitative properties and numerical approximations.
(Oxford University Press, 2016-07)
We propose a numerical method to approximate the solution of a nonlocal diffusion problem on a general setting of metric measure spaces. These spaces include, but are not limited to, fractals, manifolds and Euclidean ...
Approximation by the Finite Element Method to the Preferential Chloride Diffusion through Interfacial Transition Zone in Concrete
(Planta Piloto de Ingeniería Química, 2011-07)
Chloride diffusion in concrete is a main aspect of reinforced concrete durability. It defines the time required for reinforcement corrosion in marine structures. Concrete porosity is one of the main concerns involved in ...
Effect of migration in a diffusion model for template coexistence in protocells
(SpringerNew York, 2014-03)
The compartmentalization of distinct templates in protocells and the exchange of templates between them (migration) are key elements of a modern scenario for prebiotic evolution. Here we use the diffusion approximation of ...
Light propagation in turbid media: A generalization of the solution given by the diffusion approximation, based on the moments of multiple scattering
(Pergamon-Elsevier Science Ltd, 2010-11)
In this work we propose a generalization of the solution for light propagation in turbid media given by the diffusion approximation (DA), based on the calculus of the photon coordinates momenta. The main results of the ...