- Asymptotic analysis of Complex Automata models for reaction-diffusion systems
- Applied Numerical Mathematics
- Volume | Issue number
- 59 | 8
- Pages (from-to)
- Document type
- Faculty of Science (FNWI)
- Informatics Institute (IVI)
Complex Automata (CxA) have been recently introduced as a paradigm to simulate multiscale multiscience systems as a collection of generalized Cellular Automata on different scales. The approach yields numerical and computational challenges and can become a powerful tool for the simulation of particular complex systems. We present a mathematical framework for CxA modeling to investigate the behavior of the model depending on scale separation and modeling choices. For a simple CxA model for a reaction-diffusion process, we define a Complex Automata model, deriving theoretical error estimates, which are numerically validated.
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