Xavier Antoine

According to our database1, Xavier Antoine authored at least 46 papers between 2001 and 2020.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.



In proceedings 
PhD thesis 


On csauthors.net:


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

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

A simple pseudospectral method for the computation of the time-dependent Dirac equation with Perfectly Matched Layers.
J. Comput. Phys., 2019

Towards Perfectly Matched Layers for time-dependent space fractional PDEs.
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

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

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

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

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

Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell's equations.
J. Comput. Phys., 2014

Absorbing boundary conditions for relativistic quantum mechanics equations.
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

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

A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation.
J. Comput. Phys., 2012

Absorbing Boundary Conditions for General Nonlinear Schrödinger Equations.
SIAM J. Sci. Comput., 2011

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

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

Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations.
SIAM J. Numer. Anal., 2006

Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions.
Math. Comput., 2004

Microlocal Diagonalization of Strictly Hyperbolic Pseudodifferential Systems and Application to the Design of Radiation Conditions in Electromagnetism.
SIAM J. Appl. Math., 2001