73 citations · 670 across the 56 of their papers we have counts for
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math.OC2003
Discrete variational integrators and optimal control theory
M. de Leon, D. Martin de Diego, A. Santamaria-Merino
A geometric derivation of numerical integrators for optimal control problems is proposed. It is based in the classical technique of generating functions adapted to the special feat…
math-ph2003★ 21 cited
Tulczyjew's triples and lagrangian submanifolds in classical field theories
M. de Leon, D. Martin de Diego, A. Santamaria-Merino
In this paper the notion of Tulczyjew's triples in classical mechanics is extended to classical field theories, using the so-called multisymplectic formalism, and a convenient noti…