Miguel A. Rodríguez ; Piergiulio Tempesta
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A new discretization of the Euler equation via the finite operator theory
ocnmp:12298 -
Open Communications in Nonlinear Mathematical Physics,
February 15, 2024,
Special Issue in Memory of Decio Levi
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https://doi.org/10.46298/ocnmp.12298
A new discretization of the Euler equation via the finite operator theoryArticle
Authors: Miguel A. Rodríguez 1; Piergiulio Tempesta 1
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Miguel A. Rodríguez;Piergiulio Tempesta
1 Departamento de Física Teórica, Facultad de Ciencias Físicas, Universidad Complutense
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.