1. A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations;Antoine;Commun. Comput. Phys.,2008
2. Robust and efficient preconditioned Krylov spectral solvers for computing the ground states of fast rotating and strongly interacting Bose-Einstein condensates;Antoine;J. Comput. Phys.,2014
3. Modeling and computation of Bose-Einstein condensates: stationary states, nucleation, dynamics, stochasticity;Antoine,2015
4. X. Antoine, C. Geuzaine, Q. Tang, Coupling spectral methods and perfectly matched layer for simulating the dynamics of nonlinear Schrödinger equations. Application to rotating Bose-Einstein condensates, 2018, in preparation.
5. A friendly review of absorbing boundary conditions and perfectly matched layers for classical and relativistic quantum waves equations;Antoine;Mol. Phys.,2017