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math.GM2022
An approximate proximal numerical procedure concerning the generalized method of lines
Fabio Silva Botelho
This article develops an approximate proximal approach for the generalized method of lines. The present results are extensions and applications of previous ones which have been pub…
math.GM2020
A general variational formulation for relativistic mechanics based on fundamentals of differential geometry
Fabio Botelho
The first part of this article develops a variational formulation for relativistic mechanics. The results are established through standard tools of variational analysis and differe…
math.GM2019
On the generalized method lines applied to the time-independent incompressible Navier-Stokes system
Fabio Botelho
In the first part of this article, we obtain a linear system whose the solution solves the time-independent incompressible Navier-Stokes system for the special case in which the ex…