118 citations · 251 across the 6 of their papers we have counts for
6 papers
Pseudospectral methods with PML for nonlinear Klein-Gordon equations in classical and non-relativistic regimes
Xavier Antoine, Xiaofei Zhao
Two different Perfectly Matched Layer (PML) formulations with efficient pseudo-spectral numerical schemes are derived for the standard and non-relativistic nonlinear Klein-Gordon e…
Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces
Xavier Antoine, François Fillion-Gourdeau, Emmanuel Lorin +1
Pseudospectral numerical schemes for solving the Dirac equation in general static curved space are derived using a pseudodifferential representation of the Dirac equation along wit…
Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by the preconditioned nonlinear conjugate gradient method
Xavier Antoine, Antoine Levitt, Qinglin Tang
We propose a preconditioned nonlinear conjugate gradient method coupled with a spectral spatial dis-cretization scheme for computing the ground states (GS) of rotating Bose-Einstei…
Isogeometric finite element analysis of time-harmonic exterior acoustic scattering problems
Tahsin Khajah, Xavier Antoine, Stéphane P. A. Bordas
We present an isogeometric analysis of time-harmonic exterior acoustic problems. The infinite space is truncated by a fictitious boundary and (simple) absorbing boundary conditions…
On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions
Xavier Antoine, Qinglin Tang, Yong Zhang
In this paper, we propose some efficient and robust numerical methods to compute the ground states and dynamics of Fractional Schrödinger Equation (FSE) with a rotation term and no…
-diff: an open-source Matlab toolbox for computing multiple scattering problems by disks
Bertrand Thierry, Xavier Antoine, Chokri Chniti +1
The aim of this paper is to describe a Matlab toolbox, called -diff, for modeling and numerically solving two-dimensional complex multiple scattering by a large collection of ci…