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arXiv · 1106.5349

Discrete calculus of variations for quadratic lagrangians

Philippe Ryckelynck·Laurent Smoch
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Abstract

We develop in this paper a new framework for discrete calculus of variations when the actions have densities involving an arbitrary discretization operator. We deduce the discrete Euler-Lagrange equations for piecewise continuous critical points of sampled actions. Then we characterize the discretization operators such that, for all quadratic lagrangian, the discrete Euler-Lagrange equations converge to the classical ones.

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Philippe Ryckelynck, Laurent Smoch. 2011-06-27. Discrete calculus of variations for quadratic lagrangians. https://arxiv.org/abs/1106.5349

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