Name
Abstract | ||
|---|---|---|
Complex Automata (CxA) have been recently proposed as a paradigm for the simulation of multiscale systems. A CxA model is constructed decomposing a multiscale process into single scale sub-models, each simulated using a Cellular Automata algorithm, interacting across the scales via appropriate coupling templates. Focusing on a reaction-diffusion system, we introduce a mathematical framework for CxA modeling. We aim at the identification of error sources in the modeling stages, investigating in particular how the errors depend upon scale separation. Theoretical error estimates will be presented and numerically validated on a simple benchmark, based on a periodic reaction-diffusion problem solved via multistep lattice Boltzmann method. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1007/978-3-540-69387-1_32 | ICCS (2) |
Keywords | Field | DocType |
periodic reaction-diffusion problem,reaction-diffusion systems,cxa modeling,cellular automata algorithm,error source,scale-splitting error,reaction-diffusion system,cxa model,complex automata models,multiscale process,multiscale system,complex automata,modeling stage,cellular automata,reaction diffusion,lattice boltzmann method | Discrete mathematics,Cellular automaton,Coupling,Computer science,Automaton,Lattice Boltzmann methods,Template,Periodic graph (geometry),Reaction–diffusion system,Scale separation | Conference |
Volume | ISSN | Citations |
5102 | 0302-9743 | 1 |
PageRank | References | Authors |
0.68 | 1 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alfonso Caiazzo | 1 | 86 | 15.12 |
| Jean-luc Falcone | 2 | 112 | 16.94 |
| Bastien Chopard | 3 | 503 | 102.87 |
| Alfons G. Hoekstra | 4 | 770 | 140.05 |