Encontrados 4 documentos, a visualizar página 1 de 1
Contribuição a aplicação das wavelets na eletrostática
Belardi,A. A.; Cardoso,J. R.; Sartori,C. A. F.Este trabalho apresenta uma metodologia para a determinação da densidade superficial de carga em duas estruturas simples, um fio reto finito e uma chapa plana quadrada ambas submetidas a um potencial constante. A metodologia envolve o método dos momentos, utilizando como função de expansão as wavelets de Haar ao invés da função pulso, visando a obtenção de uma boa precisão e de uma redução no esforço computacio...
Theoretical and numerical considerations about Padé approximants for the matrix...
Cardoso, J. R.; Silva Leite, F.We show that for a vast class of matrix Lie groups, which includes the orthogonal and the symplectic, diagonal Padé approximants of log((1+x)/(1-x)) are structure preserving. The conditioning of these approximants is analyzed. We also present a new algorithm for the Briggs-Padé method, based on a strategy for reducing the number of square roots in the inverse scaling and squaring procedure. ; http://www.scie...
The Moser-Veselov equation
Cardoso, J. R.; Leite, F. SilvaWe study the orthogonal solutions of the matrix equation XJ-JXT=M, where J is symmetric positive definite and M is skew-symmetric. This equation arises in the discrete version of the dynamics of a rigid body, investigated by Moser and Veselov [15]. We show connections between orthogonal solutions of this equation and solutions of a certain algebraic Riccati equation. This will bring out the symplectic geometry ...
On computing real logarithms for matrices in the Lie group of special Euclidean...
Cardoso, J. R.; Leite, F. SilvaWe show that the diagonal Pade approximants methods, both for computing the principal logarithm of matrices belonging to the Lie groupSE (n, IR) of special Euclidean motions in IRn and to compute the matrix exponential of elements in the corresponding Lie algebra se(n, IR), are structure preserving. Also, for the particular cases when n == 2,3 we present an alternative closed form to compute the principal logar...
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