Xavier ANTOINE
Xavier ANTOINE
Professor of Applied and Computational Mathematics, Université de Lorraine
Adresse e-mail validée de univ-lorraine.fr - Page d'accueil
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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
3872008
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
2362013
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
2091999
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
1622003
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
1242012
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
1132004
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
952005
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
882006
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
862007
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
852014
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
652009
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
652006
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
612001
Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps
J Yuan, YY Lu, X Antoine
Journal of Computational Physics 227 (9), 4617-4629, 2008
542008
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
512008
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
492015
Microlocal diagonalization of strictly hyperbolic pseudodifferential systems and application to the design of radiation conditions in electromagnetism
X Antoine, H Barucq
SIAM Journal on Applied Mathematics 61 (6), 1877-1905, 2001
492001
Construction, structure and asymptotic approximations of a microdifferential transparent boundary condition for the linear Schrödinger equation
X Antoine, C Besse
Journal de mathématiques pures et appliquées 80 (7), 701-738, 2001
482001
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
462014
Absorbing boundary conditions for general nonlinear Schrödinger equations
X Antoine, C Besse, P Klein
SIAM Journal on Scientific Computing 33 (2), 1008-1033, 2011
372011
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