arXiv subjects

Fabio Botelho

Publications and source records attributed to Fabio Botelho.

20 records · Page 2Linked to original sources

arXiv2017

A duality principle for a semi-linear model in micro-magnetism

This article develops a duality principle for a semi-linear model in micro-magnetism. The results are obtained through standard tools of convex analysis and the Legendre transform concept. We emphasize the dual variational formulation presented is concave and suitable for numerical computations. Moreover, sufficient conditions of optimality are also established.

math.OC↗

arXiv2017

On the numerical solution of non-linear first order ordinary differential equation systems

In this article, firstly we develop a method for a type of difference equations, applicable to solve approximately a class of first order ordinary differential equation systems. In a second step, we apply the results obtained to solve a non-linear two point boundary value problem relating a flight mechanics model. We highlight the algorithm obtained seems to be robust and of easy computational implementation.

math.NA↗