A new discretization of the Euler equation via the finite operator theory
Mathematical Physics
2025-07-09 v1 math.MP
Abstract
We propose a novel discretization procedure for the classical Euler equation based on the theory of Galois differential algebras and the finite operator calculus developed by G.C. Rota and collaborators. This procedure allows us to define algorithmically a new discrete model that inherits from the continuous Euler equation a class of exact solutions.
Keywords
Cite
@article{arxiv.2507.05040,
title = {A new discretization of the Euler equation via the finite operator theory},
author = {Miguel A. Rodríguez and Piergiulio Tempesta},
journal= {arXiv preprint arXiv:2507.05040},
year = {2025}
}
Comments
12 pages. Special Issue in memory of Prof. Decio Levi