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Cellular Probabilistic Automata - A Novel Method for Uncertainty Propagation by Kohler, Dominic; Müller, Johannes; Wever, Utz is a scholarly article available to read on EtoBox.

What is Cellular Probabilistic Automata - A Novel Method for Uncertainty Propagation about?

We propose a novel density based numerical method for uncertainty propagation under certain partial differential equation dynamics. The main idea is to translate them into objects that we call cellular probabilistic automata and to evolve the latter. The translation is achieved by state discretization as in set oriented numerics and the use of the locality concept from cellular automata theory. We develop the method at the example of initial value uncertainties under deterministic dynamics and prove a consistency result. As an application we discuss arsenate transportation and adsorption in drinking water pipes and compare our results to Monte Carlo computations.

Author

Kohler, Dominic; Müller, Johannes; Wever, Utz

Published

2013

Language

EN