HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Book sections

Higher Order Variational Integrators: a polynomial approach

Abstract : We reconsider the variational derivation of symplectic partitioned Runge-Kutta schemes. Such type of variational integrators are of great importance since they integrate mechanical systems with high order accuracy while preserving the structural properties of these systems, like the symplectic form, the evolution of the momentum maps or the energy behaviour. Also they are easily applicable to optimal control problems based on mechanical systems as proposed in Ober-Bl\"obaum et al. [2011]. Following the same approach, we develop a family of variational integrators to which we refer as symplectic Galerkin schemes in contrast to symplectic partitioned Runge-Kutta. These two families of integrators are, in principle and by construction, different one from the other. Furthermore, the symplectic Galerkin family can as easily be applied in optimal control problems, for which Campos et al. [2012b] is a particular case.
Document type :
Book sections
Complete list of metadata

Contributor : Estelle Bouzat Connect in order to contact the contributor
Submitted on : Wednesday, March 4, 2015 - 6:25:07 PM
Last modification on : Saturday, January 15, 2022 - 3:50:10 AM
Long-term archiving on: : Friday, June 5, 2015 - 11:20:24 AM


Files produced by the author(s)



Cédric M. Campos. Higher Order Variational Integrators: a polynomial approach. Advances in Differential Equations and Applications, pp.249-258, 2014, SEMA SIMAI Springer Series, 978-3-319-06952-4. ⟨10.1007/978-3-319-06953-1_24⟩. ⟨hal-01122917⟩



Record views


Files downloads