Variational integrators of fractional Lagrangian systems in the framework of discrete embeddings
Abstract
This paper is a summary of the theory of discrete embeddings introduced in [5]. A discrete embedding is an algebraic procedure associating a numerical scheme to a given ordinary differential equation. Lagrangian systems possess a variational structure called Lagrangian structure. We are specially interested in the conservation at the discrete level of this Lagrangian structure by discrete embeddings. We then replace in this framework the variational integrators developed in [10, Chapter VI.6] and in [12]. Finally, we extend the notion of discrete embeddings and variational integrators to fractional Lagrangian systems.
Keywords
Cite
@article{arxiv.1601.04882,
title = {Variational integrators of fractional Lagrangian systems in the framework of discrete embeddings},
author = {Loïc Bourdin and Jacky Cresson and Isabelle Greff and Pierre Inizan},
journal= {arXiv preprint arXiv:1601.04882},
year = {2016}
}
Comments
11\`eme conf\'erence internationale Saragosse-Pau sur les Math\'ematiques Appliqu\'ees, 2010, Jaca, Spain. 2010. arXiv admin note: substantial text overlap with arXiv:1103.0465