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.
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Caiazzo, A., Falcone, J.L., Chopard, B., Hoekstra, A.G. (2008). Error Investigations in Complex Automata Models for Reaction-Diffusion Systems. In: Umeo, H., Morishita, S., Nishinari, K., Komatsuzaki, T., Bandini, S. (eds) Cellular Automata. ACRI 2008. Lecture Notes in Computer Science, vol 5191. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79992-4_33
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DOI: https://doi.org/10.1007/978-3-540-79992-4_33
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-79991-7
Online ISBN: 978-3-540-79992-4
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