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Research Project

Strategic Project - UI 212 - 2014

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Publications

Segregation and intrinsec restrictions on canonic variance components
Publication . Ferreira, Dário; Ferreira, Sandra S.; Nunes, Célia; Mexia, João T.
This paper deals with the estimability of variance components, in mixed models, when the dimension of the commutative algebra, spanned by all possible variance-covariance matrices, is greater than the number of linearly independente unknown variance components. As example we present an application to a random three-factor crossed-model.
Estimation of variance components in normal linear mixed models with additivity
Publication . Ferreira, Dário; Ferreira, Sandra S.; Nunes, Célia; Mexia, João T.
In this paper we use commutative Jordan Algebras to estimate variance components in linear mixed models. We apply the theory to a model in which three factors cross and one of the factors is additive to the other two.
Finite element schemes for a class of nonlocal parabolic systems with moving boundaries
Publication . Almeida, Rui M.P.; Duque, José C. M.; Ferreira, Jorge; Robalo, Rui
The aim of this paper is to study the convergence, properties and error bounds of the discrete solutions of a class of nonlinear systems of reaction–diffusion nonlocal type with moving boundaries, using the finite element method with polynomial approximations of any degree and some classical time integrators. A coordinate transformation which fixes the boundaries is used. Some numerical tests to compare our Matlab code with a moving finite element method are investigated.
Nonuniform behavior and stability of Hopfield neural networks with delay
Publication . Bento, António; Oliveira, José J.; Silva, César M.
Based on a new abstract result on the behavior of nonautonomous delayed equations, we obtain a stability result for the solutions of a general discrete nonautonomous Hopfield neural network model with delay. As an application we improve some existing results on the stability of Hopfield models.
On skew-symmetric matrices related to the vector cross product in R^7
Publication . Beites, P. D.; Nicolás, Alejandro; Vitoria, Jose
A study of real skew-symmetric matrices of orders 7 and 8, de ned through the vector cross product in R7, is presented. More concretely, results on matrix properties, eigenvalues, (generalized) inverses and rotation matrices are established.

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Funders

Funding agency

Fundação para a Ciência e a Tecnologia

Funding programme

6817 - DCRRNI ID

Funding Award Number

PEst-OE/MAT/UI0212/2014

ID