World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
30
Citations
4309
World Ranking
3490
National Ranking
211

Xavier Antoine publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Xavier Antoine sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 149 publications — 38th percentile

38% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Xavier Antoine D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Xavier Antoine sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 30 D-Index — 5th percentile

5% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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

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

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