ANTOINE Xavier

Position Full professor
Teaching department
Mines Nancy
Research group Partial Differential Equations
Research fields
  • Mathematical and numerical analysis of wave scattering problems (Helmholtz and Maxwell equations)
  • Simulation of quantum mechanics problems (Schrödinger and Gross-Pitaevskii equations, Dirac equation…)
  • Numerical approximation of fractional PDEs
Keywords
  • Absorbing boundary conditions
  • Perfectly Matched Layer
  • High-order approximation schemes
  • Fast integral equation solvers
  • Preconditioners
  • Domain decomposition methods
  • Structure preserving schemes in quantum mechanics
  • Stationary states computation for Bose-Einstein condensation
  • Numerical approximation of fractional and nonlocal PDEs
Mail

IECL – Site de Nancy
Faculté des sciences et Technologies
Campus, Boulevard des Aiguillettes
54506 Vandœuvre-lès-Nancy

Email xavier.antoine@univ-lorraine.fr
Phone number 03 72 74 54 15
Office 301

I am a Full Professor in applied and computational mathematics at the Institut Elie Cartan de Lorraine. My research topics concern the mathematical and numerical analysis as well as some scientific computing aspects for linear and nonlinear wave-like problems. In particular, I actively work on problems related to the numerical solution of Helmholtz’s and Maxwell’s equations in the high frequency regime and the accurate and efficient numerical computation of solutions to nonlinear Schrödinger/Gross-Pitaevskii equations. More recent topics concern the numerical approximation of fractional and nonlocal PDEs. I’m also a member of the Inria team SPHINX.