Abstract
We give a synthetic and formalized account of relationships between cellular automata (CA) and differential equations (DE): Numerical schemes and phase portraits analysis (via cell-to-cell mappings) can be translated into CA, and compositions of differential operators and phase portraits induce CA compositions. Based on DE, CA can be tuned according to discretization parameters so that faithful CA sequences can be built describing qualitative as well as quantitative solutions. © Springer-Verlag Berlin Heidelberg 2006.
Cite
CITATION STYLE
Narbel, P. (2006). Qualitative and quantitative cellular automata from differential equations. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4173 LNCS, pp. 112–121). Springer Verlag. https://doi.org/10.1007/11861201_16
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