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.