A new discretization of the Euler equation via the finite operator theory

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 which inherits from the continuous Euler equation a class of exact solutions.

Keywords

• discretization
• umbral calculus
• [math]mathematics [math]
• [phys]physics [physics]