Classical models for spatio-temporal processes are formulated in terms of partial differential equations. Since Newton and Leibniz, it turned out that this is a most powerful formalism. Cellular automata provide an alternative mathematical structure. However, a justification is required why cellular automata could be preferred over partial differential equations.
CITATION STYLE
Hadeler, K. P., & Müller, J. (2017). Particle motion. In Springer Monographs in Mathematics (pp. 335–375). Springer Verlag. https://doi.org/10.1007/978-3-319-53043-7_11
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