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Symplectic schemes for highly oscillatory Hamiltonian systems: the homogenization approach beyond the constant frequency case

2012; Oxford University Press; Volume: 33; Issue: 1 Linguagem: Inglês

10.1093/imanum/drs005

1464-3642

Matthew Dobson, Claude Le Bris, Frédéric Legoll,

Advanced Mathematical Modeling in Engineering

Journal Article Symplectic schemes for highly oscillatory Hamiltonian systems: the homogenization approach beyond the constant frequency case Get access Matthew Dobson, Matthew Dobson CERMICS, École des Ponts ParisTech, 77455 Marne-La-Vallée Cedex 2, France and INRIA Rocquencourt, MICMAC team-project, Domaine de Voluceau, B.P. 105, 78153 Le Chesnay Cedex, France Search for other works by this author on: Oxford Academic Google Scholar Claude Le Bris, Claude Le Bris CERMICS, École des Ponts ParisTech, 77455 Marne-La-Vallée Cedex 2, France and INRIA Rocquencourt, MICMAC team-project, Domaine de Voluceau, B.P. 105, 78153 Le Chesnay Cedex, France Search for other works by this author on: Oxford Academic Google Scholar Frédéric Legoll Frédéric Legoll * Laboratoire Navier, École des Ponts ParisTech, 77455 Marne-La-Vallée Cedex 2, France and INRIA Rocquencourt, MICMAC team-project, Domaine de Voluceau, B.P. 105, 78153 Le Chesnay Cedex, France *Corresponding author: legoll@lami.enpc.fr Search for other works by this author on: Oxford Academic Google Scholar IMA Journal of Numerical Analysis, Volume 33, Issue 1, January 2013, Pages 30–56, https://doi.org/10.1093/imanum/drs005 Published: 15 May 2012 Article history Received: 07 August 2010 Revision received: 14 June 2011 Published: 15 May 2012