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math.NA2022★ 1 cited
A two level approach for simulating Bose-Einstein condensates by localized orthogonal decomposition
Christian Döding, Patrick Henning, Johan Wärnegård
In this work, we consider the numerical computation of ground states and dynamics of single-component Bose-Einstein condensates (BECs). The corresponding models are spatially discr…
math.NA2022
Uniform -bounds for energy-conserving higher-order time integrators for the Gross-Pitaevskii equation with rotation
Christian Döding, Patrick Henning
In this paper, we consider an energy-conserving continuous Galerkin discretization of the Gross-Pitaevskii equation with a magnetic trapping potential and a stirring potential for…