Description

• Title:
  Rigorous numerics for dissipative PDEs III. An effective algorithm for rigorous integration of dissipative PDEs
• Creator:
  Zgliczyński, Piotr
• Description:
  We describe a Lohner-type algorithm for rigorous integration of dissipative PDEs. Using it for the Kuramoto-Sivashinsky PDE on the line with odd and periodic boundary conditions we give a computer assisted proof the existence of multiple periodic orbits.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2010.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 36, No 2 (December 2010); 197 - 262;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2010.035/8455
• Subject:
  Periodic orbits;
  dissipative PDEs;
  Galerkin projection;
  rigorous numerics;
  computer assisted proof;
  35B40;
  35B45;
  65G30;
  65N30
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2010.035
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other