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SUMMARY:Numerical simulation of nonlinear Schrödinger equations - Daniel 
 Peterseim (Universität Augsburg)
DTSTART:20230417T130000Z
DTEND:20230417T134500Z
UID:TALK198694@talks.cam.ac.uk
DESCRIPTION:This talk deals with the numerical simulation of Bose-Einstein
  condensates modelled by nonlinear Schr&ouml\;dinger equations (Gross-Pita
 evskii equations). We will discuss phenomena such as localisation of the w
 ave function under disorder potentials\, the formation of vortex lattices 
 in fast rotating potential traps and dynamical phase transitions. Surprisi
 ngly\, localisation theories from numerical homogenisation will play a cen
 tral role both for the theoretical understanding of wave phenomena and for
  the development of efficient and reliable numerical simulation methods.
LOCATION:Seminar Room 1\, Newton Institute
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