output
20142022
most citedEfficient spectral computation of the stationary states of rotating Bose-Einstein condensates by the preconditioned nonlinear conjugate gradient method

118 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

8 papers

math.AP2022

Null-controllability of cascade reaction-diffusion systems with odd coupling terms

Kévin Le Balc'h, Takéo Takahashi

In this paper, we consider a nonlinear system of two parabolic equations, with a distributed control in the first equation and an odd coupling term in the second one. We prove that…

math.AP2021★ 20 cited

Stabilization of the linearized water tank system

Jean-Michel Coron, Amaury Hayat, Shengquan Xiang +1

In this article we study the so-called water tank system. In this system, the behavior of water contained in a 1-D tank is modelled by Saint-Venant equations, with a scalar distrib…

math.NA2019★ 26 cited

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…

math.NA2016★ 118 cited

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…

math.NA2015★ 58 cited

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…

math.AP2015

Small moving rigid body into a viscous incompressible fluid

Christophe Lacave, Takéo Takahashi

We consider a single disk moving under the influence of a 2D viscous fluid and we study the asymptotic as the size of the solid tends to zero.If the density of the solid is indepen…

math.AP2014★ 11 cited

Regular propagators of bilinear quantum systems

Thomas Chambrion, Nabile Boussaid, Marco Caponigro

The present analysis deals with the regularity of solutions of bilinear control systems of the type where the state belongs to some complex infinite dimensional…

math.AP2014★ 29 cited

Point vortex dynamics as zero-radius limit of the motion of a rigid body in an irrotational fluid

Olivier Glass, Alexandre Munnier, Franck Sueur

The point vortex system is usually considered as an idealized model where the vorticity of an ideal incompressible two-dimensional fluid is concentrated in a finite number of movin…