Articles with public access mandates - Xavier ANTOINELearn more
Available somewhere: 47
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
Mandates: German Research Foundation
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
Mandates: A*Star, Singapore
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
Mandates: Natural Sciences and Engineering Research Council of Canada
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
Mandates: Australian Research Council
A quasi-optimal domain decomposition algorithm for the time-harmonic Maxwell's equations
M El Bouajaji, B Thierry, X Antoine, C Geuzaine
Journal of Computational Physics 294, 38-57, 2015
Mandates: National Fund for Scientific Research, Belgium
Scalar Auxiliary Variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations
X Antoine, J Shen, Q Tang
Journal of Computational Physics 437, 110328, 2021
Mandates: US National Science Foundation, US Department of Defense, National Natural …
On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions
X Antoine, Q Tang, Y Zhang
Journal of Computational Physics 325, 74-97, 2016
Mandates: Austrian Science Fund, National Natural Science Foundation of China
GetDDM: an open framework for testing Schwarz methods for time-harmonic wave problems
B Thierry, A Vion, S Tournier, M El Bouajaji, D Colignon, N Marsic, ...
Computer Physics Communications 203, 309-330, 2016
Mandates: National Fund for Scientific Research, Belgium
A non-overlapping domain decomposition method with high-order transmission conditions and cross-point treatment for Helmholtz problems
A Modave, A Royer, X Antoine, C Geuzaine
Computer Methods in Applied Mechanics and Engineering 368, 113162, 2020
Mandates: Australian Research Council, Helmholtz Association
Accurate artificial boundary conditions for the semi-discretized linear Schrödinger and heat equations on rectangular domains
S Ji, Y Yang, G Pang, X Antoine
Computer Physics Communications 222, 84-93, 2018
Mandates: National Natural Science Foundation of China
Efficient numerical computation of time-fractional nonlinear Schrödinger equations in unbounded domain
J Zhang, D Li, X Antoine
Communications in Computational Physics 25 (1), 218-243, 2019
Mandates: National Natural Science Foundation of China, Agence Nationale de la Recherche
On the numerical solution and dynamical laws of nonlinear fractional Schrödinger/Gross–Pitaevskii equations
X Antoine, Q Tang, J Zhang
International Journal of Computer Mathematics 95 (6-7), 1423-1443, 2018
Mandates: National Natural Science Foundation of China
A Preconditioned Conjugated Gradient method for computing ground states of rotating dipolar Bose-Einstein condensates via Kernel Truncation method for Dipole-Dipole Interaction …
X Antoine, Q Tang, Y Zhang
Communications in Computational Physics 24 (4), 966-988, 2018
Mandates: Austrian Science Fund, Vienna Science and Technology Fund, Austria
Towards perfectly matched layers for time-dependent space fractional PDEs
X Antoine, E Lorin
Journal of Computational Physics 391, 59-90, 2019
Mandates: Natural Sciences and Engineering Research Council of Canada, Agence …
Perfectly Matched Layer for computing the dynamics of nonlinear Schrödinger equations by pseudospectral methods. Application to rotating Bose-Einstein condensates
X Antoine, C Geuzaine, Q Tang
Communications in Nonlinear Science and Numerical Simulation 90, 105406, 2020
Mandates: National Natural Science Foundation of China, Agence Nationale de la Recherche
Domain decomposition method and high-order absorbing boundary conditions for the numerical simulation of the time dependent Schrödinger equation with ionization and …
X Antoine, E Lorin, AD Bandrauk
Journal of Scientific Computing 64, 620-646, 2015
Mandates: Natural Sciences and Engineering Research Council of Canada
Stable Perfectly Matched Layers with Lorentz transformation for the convected Helmholtz equation
P Marchner, H Beriot, X Antoine, C Geuzaine
Journal of Computational Physics 433, 110180, 2021
Mandates: Australian Research Council
An analysis of Schwarz waveform relaxation domain decomposition methods for the imaginary-time linear Schrödinger and Gross-Pitaevskii equations
X Antoine, E Lorin
Numerische Mathematik 137 (4), 923-958, 2017
Mandates: Natural Sciences and Engineering Research Council of Canada
Artificial boundary conditions for the semi-discretized one-dimensional nonlocal Schrödinger equation
S Ji, G Pang, X Antoine, J Zhang
Journal of Computational Physics 444, 110575, 2021
Mandates: National Natural Science Foundation of China, Agence Nationale de la Recherche
Derivation and analysis of computational methods for fractional Laplacian equations with absorbing layers
X Antoine, E Lorin, Y Zhang
Numerical Algorithms 87, 409-444, 2021
Mandates: Natural Sciences and Engineering Research Council of Canada, Agence …
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