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UID:20260114T223350EST-5956dw5Ugv@132.216.98.100
DTSTAMP:20260115T033350Z
DESCRIPTION:Title: Numerical approximations to nonlinear dispersive equatio
 ns\, from short to long times\n\nAbstract: The first part of this talk dea
 ls with the numerical approximation to nonlinear dispersive equations\, su
 ch as the prototypical nonlinear Schrödinger or Korteweg-deVries equations
 . We introduce integration techniques allowing for the construction of  sc
 hemes which preserve the geometric structure and qualitative behavior of t
 he equation on the discrete level. Higher order extensions will be present
 ed\, following techniques based on decorated trees series inspired by sing
 ular stochastic PDEs via the theory of regularity structures.\n	In the seco
 nd part\, we introduce a new approach for designing and analyzing schemes 
 for some nonlinear and nonlocal integrable PDEs. This work is based upon r
 ecent theoretical breakthroughs on explicit formulas for nonlinear integra
 ble equations. It opens the way for studying the asymptotic behavior of th
 e solutions\, with applications to the soliton resolution conjecture\, and
  in wave turbulence theory.\n\n \n\nLocation : UdeM\, Pavillon André-Aisen
 stadt\, room 5183\n\nJoin Zoom Meeting\n\nhttps://umontreal.zoom.us/j/8952
 8730384?pwd=IF10Cg8C0YfogaBlL6F1NboPaQvAaV.1\n\nMeeting ID: 895 2873 0384
 \n\nPasscode: 077937\n
DTSTART:20260116T190000Z
DTEND:20260116T200000Z
SUMMARY:Yvonne Alama Bronsard (MIT)
URL:/qls/channels/event/yvonne-alama-bronsard-mit-3702
 56
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