Year: 2001
Author: Luis Vázquez, José L. Vázquez-Poletti
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 4 : pp. 445–448
Abstract
We propose a new iterative approach to solve systems of linear equations. The new strategy integrates the algebraic basis of the problem with elements from classical mechanics all the finite difference method. The approach defines two families of convergent iterative methods. Each family is characterized by a linear differential equation and every method is obtained from a suitable finite difference scheme to integrate the associated differential equation. The methods are general and depend on neither the matrix dimension nor the matrix structure. In this preliminary work, we present the basic features of the method with a simple application to a low dimensional system.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2001-JCM-8996
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 4 : pp. 445–448
Published online: 2001-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 4
Keywords: Iterative method Linear systems Classical dynamics.