Abstracts

Programmirung

A fine-grained parallel algorithm is proposed, which is intended for simulation spatial dynamics in active media. The algorithm combines into a single iterative procedure Boolean operations of Cellular Automaton Diffusion with Cellular-Neural simulation of nonlinear reaction of active medium. Methods for transforming a continuous spatial function into its boolean equivalent (Boolean discretization), and the inverse methods to transform a Boolean space into a function in real numbers (averaging) are elaborated to be used on each iteration. Such a "hybrid" (discrete + continuous) algorithm is absolutely stable relative to round off errors and allows natural parallelization. Examples are given to show simulation of nonlinear waves in ecological system.

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©2001, Siberian Branch of Russian Academy of Science, Novosibirsk
©2001, United Institute of Computer Science SB RAS, Novosibirsk
©2001, Institute of Computational Techologies SB RAS, Novosibirsk
©2001, A.P. Ershov Institute of Informatics Systems SB RAS, Novosibirsk
©2001, Institute of Mathematics SB RAS, Novosibirsk
©2001, Institute of Cytology and Genetics SB RAS, Novosibirsk
©2001, Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk
©2001, Novosibirsk State University
Last modified 06-Jul-2012 (11:45:21)