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X-WR-CALNAME:Applied and Computational Math Seminar: Optimal Control of Dis
 persive Waves
X-WR-TIMEZONE:Eastern Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20261014T201051Z
UID:tag:localist.com\,2008:EventInstance_45659940323610
DTSTART:20240220T180000Z
DTEND:20240220T190000Z
DESCRIPTION:Date and Time: 02/20/2024\, 1 - 2 p.m.\n\nLocation: https://gsu
 meetings.webex.com/meet/ngaby1\n\nApplied and Computational Math Seminar: 
 Optimal Control of Dispersive Waves\n\nSpeaker: Jimmie Adriazola\, Souther
 n Methodist University\n\nTitle: Optimal Control of Dispersive Waves\n\nAb
 stract: This talk will address applications of optimal control theory to d
 ispersive wave equations. We will discuss three technologically relevant e
 xperiments\, each having its own unique challenge and physical setting inc
 luding ultra-cold quantum fluids trapped by an external field\, paraxial l
 ight propagation through a gradient index of refraction\, and light propag
 ation in periodic photonic crystals. In each of these settings\, the physi
 cs can be modeled by dispersive wave equations\, and the technological obj
 ective is to design the external trapping fields or propagation media such
  that a high fidelity or degree of coherence of the wave phenomena is achi
 eved.\n\nFinding an optimal control can be numerically challenging since t
 his amounts to solving a somewhat high-dimensional nonconvex optimization 
 problem. To efficiently address the nonconvex nature of these problems\, t
 he program used is a global\, nonconvex search based on a genetic algorith
 m which is then accelerated by a fast local method based on a projected gr
 adient descent. This methodology is specifically tailored toward maintaini
 ng feasibility\, via Tikhonov regularization\, of implementing the computa
 tionally constructed control policies in technologically relevant settings
 .\n\nHost: Nathan Gaby (ngaby1@gsu.edu)
LOCATION:
SUMMARY:Applied and Computational Math Seminar: Optimal Control of Dispersi
 ve Waves
URL;VALUE=URI:https://calendar.gsu.edu/event/applied_and_computational_math
 _seminar_optimal_control_of_dispersive_waves
CATEGORIES:Lecture
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