Helmholtz's inverse problem of the discrete calculus of variations

Published 6 Mar 2012 in math.DS | (1203.1209v2)

Abstract: We derive the discrete version of the classical Helmholtz condition. Precisely, we state a theorem characterizing second order finite differences equations admitting a Lagrangian formulation. Moreover, in the affirmative case, we provide the class of all possible Lagrangian formulations.

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