World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
30
Citations
4309
World Ranking
3489
National Ranking
211

Overview

Xavier Antoine is affiliated with the University of Lorraine in France and has contributed extensively to the fields of engineering and physics and astronomy. Their research primarily addresses topics at the intersection of numerical methods, computational mechanics, and electromagnetic simulations.

Their work spans multiple specialized areas, including:

  • Electromagnetic Simulation and Numerical Methods
  • Electromagnetic Scattering and Analysis
  • Numerical methods in engineering
  • Fractional Differential Equations Solutions
  • Advanced Numerical Methods in Computational Mathematics
  • Numerical methods for differential equations
  • Cold Atom Physics and Bose-Einstein Condensates

Within the subfields of study, Xavier Antoine has contributed to:

  • Atomic and Molecular Physics, and Optics
  • Electrical and Electronic Engineering
  • Mechanics of Materials
  • Numerical Analysis
  • Computational Mechanics

The scientist has published numerous articles in a variety of venues. Frequent publication outlets include:

  • Journal of Computational Physics
  • Computer Methods in Applied Mechanics and Engineering
  • SIAM Journal on Scientific Computing
  • Communications in Nonlinear Science and Numerical Simulation
  • Multiscale Science and Engineering

Significant recent articles include:

  • "Scalar Auxiliary Variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations," 2021, Journal of Computational Physics
  • "A non-overlapping domain decomposition method with high-order transmission conditions and cross-point treatment for Helmholtz problems," 2020, Computer Methods in Applied Mechanics and Engineering
  • "Perfectly matched layer for computing the dynamics of nonlinear Schrödinger equations by pseudospectral methods. Application to rotating Bose-Einstein condensates," 2020, Communications in Nonlinear Science and Numerical Simulation
  • "Artificial boundary conditions for the semi-discretized one-dimensional nonlocal Schrödinger equation," 2021, Journal of Computational Physics
  • "Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces," 2020, Journal of Computational Physics

Xavier Antoine collaborates frequently with several co-authors, including:

  • Christophe Geuzaine
  • Emmanuel Lorin
  • Gang Pang
  • Songsong Ji
  • Philippe Marchner

Best Publications

  • Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations

    Xavier Antoine;Xavier Antoine;Weizhu Bao;Christophe Besse

  • A Review of Transparent and Artificial Boundary Conditions Techniques for Linear and Nonlinear Schrödinger Equations

    Xavier Antoine;Anton Arnold;Christophe Besse;Matthias Ehrhardt

  • Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape

    Xavier Antoine;Hélène Barucq;Abderrahmane Bendali

  • Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation

    X. Antoine;C. Besse

  • A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation

    Y. Boubendir;X. Antoine;C. Geuzaine

  • GPELab, a Matlab toolbox to solve Gross–Pitaevskii equations I: Computation of stationary solutions☆

    Xavier Antoine;Xavier Antoine;Romain Duboscq;Romain Duboscq

  • Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions

    Xavier Antoine;Christophe Besse;Vincent Mouysset

  • Alternative integral equations for the iterative solution of acoustic scattering problems

    Xavier Antoine;Marion Darbas

  • GENERALIZED COMBINED FIELD INTEGRAL EQUATIONS FOR THE ITERATIVE SOLUTION OF THE THREE-DIMENSIONAL HELMHOLTZ EQUATION

    Xavier Antoine;Marion Darbas

  • Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations

    Xavier Antoine;Christophe Besse;Stéphane Descombes

  • GPELab, a Matlab toolbox to solve Gross–Pitaevskii equations II: Dynamics and stochastic simulations☆

    Xavier Antoine;Xavier Antoine;Romain Duboscq

  • Efficient spectral computation of the stationary states of rotating Bose–Einstein condensates by preconditioned nonlinear conjugate gradient methods

    Xavier Antoine;Antoine Levitt;Antoine Levitt;Qinglin Tang

  • Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential

    Xavier Antoine;Christophe Besse;Pauline Klein

  • An improved surface radiation condition for high-frequency acoustic scattering problems

    Xavier Antoine;Xavier Antoine;Xavier Antoine;Marion Darbas;Ya Yan Lu

  • Robust and efficient preconditioned Krylov spectral solvers for computing the ground states of fast rotating and strongly interacting Bose-Einstein condensates

    Xavier Antoine;Romain Duboscq

  • Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method

    Xavier Antoine

  • On the numerical approximation of high-frequency acoustic multiple scattering problems by circular cylinders

    Xavier Antoine;Chokri Chniti;Karim Ramdani

  • Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps

    Jianhua Yuan;Ya Yan Lu;Xavier Antoine

  • A friendly review of absorbing boundary conditions and perfectly matched layers for classical and relativistic quantum waves equations

    Xavier Antoine;Emmanuel Lorin;Qinglin Tang

  • CONSTRUCTION, STRUCTURE AND ASYMPTOTIC APPROXIMATIONS OF A MICRODIFFERENTIAL TRANSPARENT BOUNDARY CONDITION FOR THE LINEAR SCHRÖDINGER EQUATION

    Xavier Antoine;Christophe Besse

Frequent Co-Authors

André D. Bandrauk
André D. Bandrauk Université de Sherbrooke
Marius Tucsnak
Marius Tucsnak University of Bordeaux
Lionel Rosier
Lionel Rosier PSL University
Pete Burnard
Pete Burnard University of Lorraine
Patrick Joly
Patrick Joly École Nationale Supérieure de Techniques Avancées
Günter Leugering
Günter Leugering University of Erlangen-Nuremberg
Weizhu Bao
Weizhu Bao National University of Singapore
Jie Shen
Jie Shen Eastern Institute of Technology, Ningbo

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