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Cellular probabilistic automata - a novel method for uncertainty propagation.
SIAM ASA J. Uncertain. Quantif. 2, 29-54 (2014)
Verlagsversion Volltext
DOI
We propose a novel density based numerical method for uncertainty propagation under distinct 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 using the example of initial value uncertainties under deterministic dynamics and show that it is consistent. As an application we discuss arsenate transportation and adsorption in drinking water pipes and compare our results to Monte Carlo computations.
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Publikationstyp
Artikel: Journalartikel
Dokumenttyp
Wissenschaftlicher Artikel
e-ISSN
2166-2525
Zeitschrift
SIAM/ASA Journal on Uncertainty Quantification
Quellenangaben
Band: 2,
Heft: 1,
Seiten: 29-54
Verlag
Society for Industrial and Applied Mathematics (SIAM)
Begutachtungsstatus
Peer reviewed
Institut(e)
Institute of Computational Biology (ICB)