BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
X-WR-CALNAME:CAM Seminar
X-WR-TIMEZONE:Eastern Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20260818T080309Z
UID:tag:localist.com\,2008:EventInstance_50958148889378
DTSTART:20251029T180000Z
DTEND:20251029T190000Z
DESCRIPTION:Note the unusual date and time!\n\n \n\nSpeaker: Cheng Wang (UM
 ass Darthmouth)\n \n\nTitle: An unconditionally energy stable numerical sc
 heme for the Bose-Einstein condensate\n\n\nAbstract: A numerical framework
  is proposed and analyzed for computing the ground state of Bose-Einstein 
 condensates. A gradient flow approach is developed\, incorporating both a 
 Lagrange multiplier to enforce the L^2 conservation and a free energy diss
 ipation. An explicit approximation is applied to the chemical potential\, 
 combined with an exponential time differencing (ETD) operator to the diffu
 sion part\, as well a stabilizing operator\, to obtain an intermediate num
 erical profile. Afterward\, an L^2 normalization is applied at the next nu
 merical stage. A theoretical analysis reveals a free energy dissipation un
 der a maximum norm bound assumption for the numerical solution\, and such 
 a maximum norm bound could be recovered by a careful convergence analysis 
 and error estimate. In turn\, the proposed method preserves the following 
 theoretical properties: (1) an explicit computation at each time step\, (2
 ) unconditional free energy dissipation\, (3) L^2 norm conservation at eac
 h time step\, (4) a theoretical justification of convergence analysis and 
 error estimate. Comprehensive numerical experiments validate these theoret
 ical results\, demonstrating excellent agreement with established referenc
 e solutions.
GEO:35.957579;-83.925751
LOCATION:Ayres Hall\, 405
SUMMARY:CAM Seminar
URL;VALUE=URI:https://calendar.utk.edu/event/cam-seminar-3446
CATEGORIES:Lectures & Presentations
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