Special Issue: Selected Papers from the XXth International Workshop on Differential Geometric Methods in Theoretical Mechanics (Ghent, Belgium, 21 to 27 August 2005)No Access

HIGHER-ORDER DISCRETE LAGRANGIAN MECHANICS

ROBERTO BENITO

Instituto de Matemáticas y Física Fundamental, Consejo Superior de Investigaciones Científicas, Serrano 123, 28006 Madrid, Spain

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MANUEL DE LEÓN

Instituto de Matemáticas y Física Fundamental, Consejo Superior de Investigaciones Científicas, Serrano 123, 28006 Madrid, Spain

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, and

D. MARTÍN DE DIEGO

Instituto de Matemáticas y Física Fundamental, Consejo Superior de Investigaciones Científicas, Serrano 123, 28006 Madrid, Spain

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https://doi.org/10.1142/S0219887806001235Cited by:8 (Source: Crossref)

Abstract

In this paper we develop the construction of geometric integrators for higher-order mechanics. These integrators are naturally symplectic and preserve momentum since they have a discrete variational origin.

Keywords:

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