A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations X Antoine, A Arnold, C Besse, M Ehrhardt, A Schädle. Commun. in Comput. Physics 4 (4), 729-796, 2008 | 505 | 2008 |
Computational methods for the dynamics of the nonlinear Schrödinger/Gross–Pitaevskii equations X Antoine, W Bao, C Besse Computer Physics Communications 184 (12), 2621-2633, 2013 | 427 | 2013 |
Bayliss–Turkel-like radiation conditions on surfaces of arbitrary shape X Antoine, H Barucq, A Bendali Journal of Mathematical Analysis and Applications 229 (1), 184-211, 1999 | 244 | 1999 |
Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation X Antoine, C Besse Journal of Computational Physics 188 (1), 157-175, 2003 | 187 | 2003 |
A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation Y Boubendir, X Antoine, C Geuzaine Journal of Computational Physics 231 (2), 262-280, 2012 | 173 | 2012 |
GPELab, a Matlab toolbox to solve Gross–Pitaevskii equations I: Computation of stationary solutions X Antoine, R Duboscq Computer Physics Communications 185 (11), 2969-2991, 2014 | 162 | 2014 |
Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions X Antoine, C Besse, V Mouysset Mathematics of Computation 73 (248), 1779-1799, 2004 | 132 | 2004 |
Alternative integral equations for the iterative solution of acoustic scattering problems X Antoine, M Darbas The Quarterly Journal of Mechanics and Applied Mathematics 58 (1), 107-128, 2005 | 116 | 2005 |
GPELab, a Matlab toolbox to solve Gross–Pitaevskii equations II: Dynamics and stochastic simulations X Antoine, R Duboscq Computer Physics Communications 193, 95-117, 2015 | 113 | 2015 |
Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation X Antoine, M Darbas ESAIM: Mathematical Modelling and Numerical Analysis 41 (1), 147-167, 2007 | 113 | 2007 |
Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations X Antoine, C Besse, S Descombes SIAM Journal on Numerical Analysis 43 (6), 2272-2293, 2006 | 109 | 2006 |
Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by the preconditioned nonlinear conjugate gradient method X Antoine, A Levitt, Q Tang Journal of Computational Physics 343, 92-109, 2017 | 100 | 2017 |
An improved surface radiation condition for high-frequency acoustic scattering problems X Antoine, M Darbas, YY Lu Computer Methods in Applied Mechanics and Engineering 195 (33-36), 4060-4074, 2006 | 93 | 2006 |
Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential X Antoine, C Besse, P Klein Journal of Computational Physics 228 (2), 312-335, 2009 | 87 | 2009 |
Robust and efficient preconditioned Krylov spectral solvers for computing the ground states of fast rotating and strongly interacting Bose–Einstein condensates X Antoine, R Duboscq Journal of Computational Physics 258, 509-523, 2014 | 81 | 2014 |
A friendly review of absorbing boundary conditions and perfectly matched layers for classical and relativistic quantum waves equations X Antoine, E Lorin, Q Tang Molecular Physics 115 (15-16), 1861-1879, 2017 | 73 | 2017 |
Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method X Antoine IMA Journal of Applied Mathematics 66 (1), 83-110, 2001 | 71 | 2001 |
On the numerical approximation of high-frequency acoustic multiple scattering problems by circular cylinders X Antoine, C Chniti, K Ramdani Journal of Computational Physics 227 (3), 1754-1771, 2008 | 68 | 2008 |
Absorbing boundary conditions for general nonlinear Schrödinger equations X Antoine, C Besse, P Klein SIAM Journal on Scientific Computing 33 (2), 1008-1033, 2011 | 62 | 2011 |
Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering A Modave, C Geuzaine, X Antoine Journal of Computational Physics 401, 109029, 2020 | 60 | 2020 |