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SUMMARY:Piotr Kalita (Jagiellonian University\, Poland)
DTSTART:20210406T140000Z
DTEND:20210406T150000Z
DTSTAMP:20260423T024701Z
UID:CRM-CAMP/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CRM-CAMP/36/
 ">Rigorous FEM based forward in time integration of dissipative PDEs</a>\n
 by Piotr Kalita (Jagiellonian University\, Poland) as part of CRM CAMP (Co
 mputer-Assisted Mathematical Proofs) in Nonlinear Analysis\n\n\nAbstract\n
 We present the technique for computer assisted rigorous forward in time in
 tegration of problems governed by dissipative PDEs. The approach is based 
 on the Finite Element Method. The key concepts lie in the propagation of t
 he a priori energy estimates needed to bound the infinite dimensional rema
 inder and in rigorous integration of differential inclusions. The techniqu
 e is illustrated by the computer assisted construction of the time periodi
 c solution for periodically forced one-dimensional Burgers equation with h
 omogeneous Dirichlet boundary conditions. Talk is based on joint work with
  Piotr Zgliczyński.\n
LOCATION:https://researchseminars.org/talk/CRM-CAMP/36/
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