Symplectic schemes for highly oscillatory Hamiltonian systems with varying fast frequencies
Symplectic schemes for highly oscillatory Hamiltonian systems with varying fast frequencies
DOBSON ; LE BRIS ; LEGOLL
Type de document
ARTICLE A COMITE DE LECTURE REPERTORIE DANS BDI (ACL)
Langue
anglais
Auteur
DOBSON ; LE BRIS ; LEGOLL
Résumé / Abstract
We derive symplectic integrators for a class of highly oscillatory Hamiltonian systems. Our approach is based upon a two-scale expansion of the solution to the Hamilton-Jacobi equation associated to the original dynamics. This Note presents an extension of the approach previously introduced in Le Bris and Legoll (2007, 2010) to the case where the fast frequencies of the system, instead of being constant, explicitly depend on the slow degrees of freedom.
Source
Comptes rendus de l'Académie des Sciences, Série I : Mathématique, num. 17-18, pp 1033-1038 p.
