Xavier Antoine
Orcid: 0000-0002-6501-7757
According to our database1,
Xavier Antoine
authored at least 62 papers
between 2001 and 2024.
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Bibliography
2024
Construction and analysis of discretization schemes for one-dimensional nonlocal Schrödinger equations with exact absorbing boundary conditions.
J. Comput. Appl. Math., April, 2024
Normalized fractional gradient flow for nonlinear Schrödinger/Gross-Pitaevskii equations.
Commun. Nonlinear Sci. Numer. Simul., February, 2024
2022
A MultiHarmonic Finite Element Method for Scattering Problems with Small-Amplitude Boundary Deformations.
SIAM J. Sci. Comput., 2022
A Well-Conditioned Weak Coupling of Boundary Element and High-Order Finite Element Methods for Time-Harmonic Electromagnetic Scattering by Inhomogeneous Objects.
SIAM J. Sci. Comput., 2022
Construction and Numerical Assessment of Local Absorbing Boundary Conditions for Heterogeneous Time-Harmonic Acoustic Problems.
SIAM J. Appl. Math., 2022
J. Comput. Phys., 2022
Pseudospectral methods with PML for nonlinear Klein-Gordon equations in classical and non-relativistic regimes.
J. Comput. Phys., 2022
2021
ODE-based double-preconditioning for solving linear systems A α x = b and f ( A ) x = b.
Numer. Linear Algebra Appl., 2021
Derivation and analysis of computational methods for fractional Laplacian equations with absorbing layers.
Numer. Algorithms, 2021
Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain.
Math. Comput., 2021
Stable Perfectly Matched Layers with Lorentz transformation for the convected Helmholtz equation.
J. Comput. Phys., 2021
Artificial boundary conditions for the semi-discretized one-dimensional nonlocal Schrödinger equation.
J. Comput. Phys., 2021
Scalar Auxiliary Variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations.
J. Comput. Phys., 2021
BEC2HPC: A HPC spectral solver for nonlinear Schrödinger and rotating Gross-Pitaevskii equations. Stationary states computation.
Comput. Phys. Commun., 2021
2020
Pseudodifferential adiabatic mode parabolic equations in curvilinear coordinates and their numerical solution.
J. Comput. Phys., 2020
Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering.
J. Comput. Phys., 2020
Optimized weak coupling of boundary element and finite element methods for acoustic scattering.
J. Comput. Phys., 2020
Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces.
J. Comput. Phys., 2020
Perfectly matched layer for computing the dynamics of nonlinear Schrödinger equations by pseudospectral methods. Application to rotating Bose-Einstein condensates.
Commun. Nonlinear Sci. Numer. Simul., 2020
2019
A simple pseudospectral method for the computation of the time-dependent Dirac equation with Perfectly Matched Layers.
J. Comput. Phys., 2019
J. Comput. Phys., 2019
On the rate of convergence of Schwarz waveform relaxation methods for the time-dependent Schrödinger equation.
J. Comput. Appl. Math., 2019
Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces.
CoRR, 2019
2018
On the numerical solution and dynamical laws of nonlinear fractional Schrödinger/Gross-Pitaevskii equations.
Int. J. Comput. Math., 2018
Accurate artificial boundary conditions for the semi-discretized linear Schrödinger and heat equations on rectangular domains.
Comput. Phys. Commun., 2018
Multilevel preconditioning technique for Schwarz waveform relaxation domain decomposition method for real- and imaginary-time nonlinear Schrödinger equation.
Appl. Math. Comput., 2018
2017
An analysis of Schwarz waveform relaxation domain decomposition methods for the imaginary-time linear Schrödinger and Gross-Pitaevskii equations.
Numerische Mathematik, 2017
Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by preconditioned nonlinear conjugate gradient methods.
J. Comput. Phys., 2017
Computational performance of simple and efficient sequential and parallel Dirac equation solvers.
Comput. Phys. Commun., 2017
Acceleration of the imaginary time method for spectrally computing the stationary states of Gross-Pitaevskii equations.
Comput. Phys. Commun., 2017
2016
Frozen Gaussian approximation based domain decomposition methods for the linear Schrödinger equation beyond the semi-classical regime.
J. Comput. Phys., 2016
On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions.
J. Comput. Phys., 2016
High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger/Gross-Pitaevskii equations.
J. Comput. Phys., 2016
GetDDM: An open framework for testing optimized Schwarz methods for time-harmonic wave problems.
Comput. Phys. Commun., 2016
Isogeometric finite element analysis of time-harmonic exterior acoustic scattering problems.
CoRR, 2016
Lagrange-Schwarz Waveform Relaxation domain decomposition methods for linear and nonlinear quantum wave problems.
Appl. Math. Lett., 2016
Formulation and accuracy of On-Surface Radiation Conditions for acoustic multiple scattering problems.
Appl. Math. Comput., 2016
2015
Domain Decomposition Method and High-Order Absorbing Boundary Conditions for the Numerical Simulation of the Time Dependent Schrödinger Equation with Ionization and Recombination by Intense Electric Field.
J. Sci. Comput., 2015
A quasi-optimal domain decomposition algorithm for the time-harmonic Maxwell's equations.
J. Comput. Phys., 2015
μ-diff: An open-source Matlab toolbox for computing multiple scattering problems by disks.
Comput. Phys. Commun., 2015
GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations II: Dynamics and stochastic simulations.
Comput. Phys. Commun., 2015
2014
Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell's equations.
J. Comput. Phys., 2014
J. Comput. Phys., 2014
Robust and efficient preconditioned Krylov spectral solvers for computing the ground states of fast rotating and strongly interacting Bose-Einstein condensates.
J. Comput. Phys., 2014
GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations I: Computation of stationary solutions.
Comput. Phys. Commun., 2014
2013
A Non-overlapping Quasi-optimal Optimized Schwarz Domain Decomposition Algorithm for the Helmholtz Equation.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013
Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential.
Numerische Mathematik, 2013
Spectral and condition number estimates of the acoustic single-layer operator for low-frequency multiple scattering in dense media.
J. Comput. Appl. Math., 2013
Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations.
Comput. Phys. Commun., 2013
2012
A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation.
J. Comput. Phys., 2012
2011
SIAM J. Sci. Comput., 2011
2009
Phase reduction models for improving the accuracy of the finite element solution of time-harmonic scattering problems I: General approach and low-order models.
J. Comput. Phys., 2009
Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential.
J. Comput. Phys., 2009
A performance study of plane wave finite element methods with a Padé-type artificial boundary condition in acoustic scattering.
Adv. Eng. Softw., 2009
2008
Far Field Modeling of Electromagnetic Time Reversal and Application to Selective Focusing on Small Scatterers.
SIAM J. Appl. Math., 2008
Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps.
J. Comput. Phys., 2008
On the numerical approximation of high-frequency acoustic multiple scattering problems by circular cylinders.
J. Comput. Phys., 2008
An integral preconditioner for solving the two-dimensional scattering transmission problem using integral equations.
Int. J. Comput. Math., 2008
2006
Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations.
SIAM J. Numer. Anal., 2006
2004
Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions.
Math. Comput., 2004
2001
Microlocal Diagonalization of Strictly Hyperbolic Pseudodifferential Systems and Application to the Design of Radiation Conditions in Electromagnetism.
SIAM J. Appl. Math., 2001