Stationary Schrödinger equation in the semiclassical limit: WKB-based scheme coupled to a turning point, 2018. ,
Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations, Numer. Math, vol.129, issue.2, pp.211-250, 2015. ,
Stroboscopic averaging for the nonlinear Schrödinger equation, Found. Comput. Math, vol.15, issue.2, pp.519-559, 2015. ,
Numerical stroboscopic averaging for ODEs and DAEs, Appl. Numer. Math, vol.61, issue.10, pp.1077-1095, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00777181
A multiband semiclassical model for surface hopping quantum dynamics, Multiscale Model. Simul, vol.13, pp.205-230, 2015. ,
A micro-macro method for a kinetic graphene model in one-space dimension, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01883237
Nonlinear geometric optics methodbased multi-scale numerical schemes for a class of highly oscillatory transport equations, Math. Models Methods Appl. Sci, vol.27, pp.2031-2070, 2017. ,
Asymptotic preserving schemes for highly oscillatory Vlasov-Poisson equations, J. Comput. Phys, vol.248, pp.287-308, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00845872
Highly-oscillatory evolution equations with multiple frequencies: averaging and numerics, Numer. Math, vol.136, issue.4, pp.907-939, 2017. ,
A new class of uniformly accurate numerical schemes for highly oscillatory evolution equations. to appear in Found, Comput. Math, 2018. ,
Multi-revolution composition methods for highly oscillatory differential equations, Numer. Math, vol.128, issue.1, pp.167-192, 2014. ,
Higher-order averaging, formal series and numerical integration I: B-series, Found. Comput. Math, vol.10, issue.6, pp.695-727, 2010. ,
Higher-order averaging, formal series and numerical integration II: The quasi-periodic case, Found. Comput. Math, vol.12, issue.4, pp.471-508, 2012. ,
Higher-order averaging, formal series and numerical integration III: error bounds, Found. Comput. Math, vol.15, issue.2, pp.591-612, 2015. ,
Long-term analysis of the Störmer-Verlet method for hamiltonian systems with a solution-dependent high frequency, Numer. Math, vol.34, pp.119-138, 2016. ,
Geometric numerical integration, Structure-preserving algorithms for ordinary differential equations, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-01403326
Solving ordinary differential equations. I, Springer Series in Computational Mathematics, vol.8, 1993. ,
Stiff and differential-algebraic problems, Springer Series in Computational Mathematics, vol.II, 2010. ,
Multiband wigner-function formalism applied to the zener band transition in a semiconductor, Phys. Rev. B, vol.80, pp.5-7, 2009. ,
Wigner model for quantum trans-port in graphene, J. Phys. A, vol.44, pp.265-301, 2011. ,
Higher order averaging and related methods for perturbed periodic and quasi-periodic systems, SIAM J. Appl. Math, vol.17, pp.698-724, 1969. ,
Averaging methods in nonlinear dynamical systems, Applied Mathematical Sciences, vol.59, 1985. ,