Mathematical analysis of a structure-preserving approximation of the bidimensional vorticity equation

摘要

We show the consistency and the convergence of a spectral approximation of the bidimensional vorticity equation, proposed by V. Zeitlin in [13] and studied numerically by I. Szunyogh, B. Kadar, and D. Devenyi in [12], whose main feature is that it preserves the Hamiltonian structure of the vorticity equation. [References: 13]