Universität Augsburg
|
Professor Dr. Daniel Peterseim
Universität Augsburg
spricht am
Donnerstag, 10. Dezember 2020
um
15 Uhr s.t.
im
zoom (auf Anfrage)
über das Thema:
Abstract: |
Stationary states of Bose-Einstein condensates can be modeled by an eigenvalue problem for a nonlinear partial differential operator (non-linear Schrödinger / Gross-Pitaevskii). The talk reviews the numerical approximation of this so-called nonlinear eigenvector problem
by (discrete) gradient flows and generalizations of the inverse power
method. Numerical analysis and a series of numerical experiments show
the reliability and computational efficiency of the methods and demonstrate their ability to capture interesting physical effects such as localized states of the condensate under disorder potentials or the formation of vortex lattices in fast rotating potential traps. The talk
is completed by an outlook to the simulation of dynamical phenomena.
Interessierten wird der Zoom-Link per E-Mail-Anfrage mitgeteilt. |
Hierzu ergeht herzliche Einladung. |
Prof. Dr. Lisa Beck |