Homogenization and Two-Scale Convergence, SIAM Journal on Mathematical Analysis, vol.23, issue.6, pp.1482-1518, 1992. ,
DOI : 10.1137/0523084
URL : https://hal.archives-ouvertes.fr/hal-01111805
Analysis and comparison of numerical methods for the Klein???Gordon equation in the nonrelativistic limit regime, Numerische Mathematik, vol.8, issue.2, pp.189-229, 2012. ,
DOI : 10.1007/s00211-011-0411-2
Stroboscopic averaging for the nonlinear Schrödinger equation, p.732850 ,
Higher-Order Averaging, Formal Series and Numerical Integration I: B-series, Foundations of Computational Mathematics, vol.29, issue.6, pp.695-727, 2010. ,
DOI : 10.1007/s10208-010-9074-0
URL : https://hal.archives-ouvertes.fr/inria-00598357
Asymptotic Preserving schemes for highly oscillatory Vlasov???Poisson equations, Journal of Computational Physics, vol.248, pp.287-308, 2013. ,
DOI : 10.1016/j.jcp.2013.04.022
URL : https://hal.archives-ouvertes.fr/hal-00845872
Macroscopic limits of the Boltzmann equation: a review in Modeling and computational methods for kinetic equations, Modeling and Simulation in Science, Engineering and Technology Series, pp.3-57, 2003. ,
Asymptotic preserving schemes for the Klein???Gordon equation in the non-relativistic limit regime, Numerische Mathematik, vol.8, issue.3 ,
DOI : 10.1007/s00211-013-0567-z
URL : https://hal.archives-ouvertes.fr/hal-00762161
Two-scale expansion of a singularly perturbed convection equation, Journal de Math??matiques Pures et Appliqu??es, vol.80, issue.8, pp.815-843, 2001. ,
DOI : 10.1016/S0021-7824(01)01215-6
On the energy exchange between resonant modes in nonlinear Schr??dinger equations, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.28, issue.1, pp.127-134, 2011. ,
DOI : 10.1016/j.anihpc.2010.11.004
Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations, SIAM Journal on Scientific Computing, vol.21, issue.2, pp.441-454, 1999. ,
DOI : 10.1137/S1064827598334599
The nonrelativistic limit of the nonlinear Klein-Gordon equation, Funkcial. Ekvac, vol.44, pp.243-252, 2001. ,
Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations, Mathematische Annalen, vol.322, issue.3, pp.603-621, 2002. ,
DOI : 10.1007/s002080200008
From nonlinear Klein-Gordon equation to a system of coupled nonlinear Schr??dinger equations, Mathematische Annalen, vol.324, issue.2, pp.359-389, 2002. ,
DOI : 10.1007/s00208-002-0342-4
A General Convergence Result for a Functional Related to the Theory of Homogenization, SIAM Journal on Mathematical Analysis, vol.20, issue.3, pp.608-623, 1989. ,
DOI : 10.1137/0520043
Higher Order Averaging and Related Methods for Perturbed Periodic and Quasi-Periodic Systems, SIAM Journal on Applied Mathematics, vol.17, issue.4, pp.698-724, 1969. ,
DOI : 10.1137/0117065
Averaging methods in nonlinear dynamical systems, Applied Mathematical Sciences, vol.59, 1985. ,
DOI : 10.1007/978-1-4757-4575-7
Construction of higher order symplectic integrators, Physics Letters A, vol.150, issue.5-7, pp.262-268, 1990. ,
DOI : 10.1016/0375-9601(90)90092-3