Mathematical Physics
[Submitted on 7 Jul 2025
]
Title: A new discretization of the Euler equation via the finite operator theory
Title: 通过有限算子理论对欧拉方程的新离散化
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.
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