Cellular Automata Innovative Modelling For Science And Engineering

Edited by Alejandro Salcido

Published by InTech
Janeza Trdine 9, 51000 Rijeka, Croatia
Copyright © 2011 InTech

Modelling and simulation are disciplines of major importance for science and engineering. There is no science without models, and simulation has nowdays become a very useful tool, sometimes unavoidable, for development of both science and engineering. The numerical solution of diff erential equations  has for many years been a paradigm of the computational approaches for simulation. Nevertheless, some conceptually different strategies for modelling and simulation of complex behaviour systems have been developed from the introduction of the innovative concept of cellular automata by Stanislaw Ulam and John Von Neumann in the early 1950s. Cellular automata are dynamical systems which consist of a fi nite-dimensional latt ice, each site of which can have a fi nite number of states, and evolves in discrete time steps obeying a set of homogeneous local rules which defi ne the system´s dynamics. These rules are defi ned in such a way that the relevant laws of the phenomena of interest are fulfi lled. Typically, only the nearest neighbours are involved in the updating of the latt ice sites. read more

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