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VERSION:2.0
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BEGIN:VEVENT
SUMMARY:Adaptive Pseudospectral Evolutions of Wave Models on Hyperboloidal
  Slices
DTSTART:20260625T090000Z
DTEND:20260625T110000Z
DTSTAMP:20260705T105934Z
UID:f3058bb2-e94b-4075-88a9-2de35f4123de
SEQUENCE:2
CREATED:20260623T105311Z
DESCRIPTION:This thesis extends the bamps framework to solve the wave equa
 tion on both hyperboloidal slices and hyperboloidal layers. We demonstrate
  that the implemented methods achieve promising convergence results in bot
 h settings. We further investigate how our code handles the inclusion of p
 erturbations in our initial conditions for the hyperboloidal layers setup\
 , again obtaining encouraging numerical results.Building on this framework
 \, we study the cubic wave equation\, exploring both decaying and blowup s
 olutions through numerical simulations. By tuning initial data toward the 
 threshold of blowup\, we obtain solutions approaching critical behavior wi
 thin the limitations of our numerical implementation. In addition\, we pro
 vide numerical support for several results from modern partial differentia
 l equations theory by computing the blowup rate of numerically generated b
 lowup solutions and evaluating the associated power indices across the com
 putational domain for decaying solutions.As part of this work\, we also de
 veloped the foundation of an analysis software suite intended to become a 
 central component of the future bamps development workflow.
LAST-MODIFIED:20260623T105319Z
LOCATION:Sala V1.25 (Piso 1 do Pavilhão de Civil) do IST/Online
URL:http://df.vps.tecnico.ulisboa.pt/pt/eventos/adaptive-pseudospectral-ev
 olutions-of-wave-models-on-hyperboloidal-slices/
X-ALT-DESC;FMTTYPE=text/html:<p data-block-key="ubzti">This thesis extends
  the bamps framework to solve the wave equation on both hyperboloidal slic
 es and hyperboloidal layers. We demonstrate that the implemented methods a
 chieve promising convergence results in both settings. We further investig
 ate how our code handles the inclusion of perturbations in our initial con
 ditions for the hyperboloidal layers setup\, again obtaining encouraging n
 umerical results.<br/><br/>Building on this framework\, we study the cubic
  wave equation\, exploring both decaying and blowup solutions through nume
 rical simulations. By tuning initial data toward the threshold of blowup\,
  we obtain solutions approaching critical behavior within the limitations 
 of our numerical implementation. In addition\, we provide numerical suppor
 t for several results from modern partial differential equations theory by
  computing the blowup rate of numerically generated blowup solutions and e
 valuating the associated power indices across the computational domain for
  decaying solutions.<br/><br/>As part of this work\, we also developed the
  foundation of an analysis software suite intended to become a central com
 ponent of the future bamps development workflow.</p>
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