Error investigations in complex automata models for reaction-diffusion systems

Authors
Publication date 2008
Host editors
  • H. Umeo
  • S. Morishita
  • K. Nishinari
  • T. Komatsuzaki
  • S. Bandini
Book title Cellular Automata
Book subtitle 8th International Conference on Cellular Aotomata for Reseach and Industry, ACRI 2008, Yokohama, Japan, September 23-26, 2008 : proceedings
ISBN
  • 9783540799917
ISBN (electronic)
  • 9783540799924
Series Lecture Notes in Computer Science
Event 8th International Conference on Cellular Automata for Reseach and Industry (ACRI 2008), Yokohama, Japan
Pages (from-to) 260-267
Publisher Berlin: Springer
Organisations
  • Faculty of Science (FNWI) - Informatics Institute (IVI)
Abstract Complex Automata (CxA) have been recently introduced as a paradigm to simulate multiscale systems as a collection of generalized Cellular Automata on different scales. We present a basic mathematical framework to investigate the behavior of a CxA model depending on scale separation and modeling choices. In particular, a simple CxA model for a reaction-diffusion system, based on the lattice Boltzmann method, will be formally analyzed. Theoretical error estimates will be derived and numerically validated.
Document type Conference contribution
Language English
Published at
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