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

118 citations

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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…