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SUMMARY:Jean-Philippe Lessard (McGill University\, Canada)
DTSTART:20210330T140000Z
DTEND:20210330T150000Z
DTSTAMP:20260423T024648Z
UID:CRM-CAMP/43
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CRM-CAMP/43/
 ">Computer-assisted proofs for Cauchy problems of delay equations and PDEs
  via Chebyshev series</a>\nby Jean-Philippe Lessard (McGill University\, C
 anada) as part of CRM CAMP (Computer-Assisted Mathematical Proofs) in Nonl
 inear Analysis\n\n\nAbstract\nIn this talk we introduce recent general met
 hods to rigorously compute solutions of infinite dimensional Cauchy proble
 ms. The idea is to expand the solutions in time using Chebyshev series an
 d use the contraction mapping theorem to construct a neighbourhood about a
 n approximate solution which contains the exact solution of the Cauchy pro
 blem. We apply the methods to delay differential equations and to semi-lin
 ear parabolic partial differential equations.\n
LOCATION:https://researchseminars.org/talk/CRM-CAMP/43/
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