4.7 Article

Adapted polynomial chaos expansion for failure detection

Journal

JOURNAL OF COMPUTATIONAL PHYSICS
Volume 226, Issue 1, Pages 263-281

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2007.04.011

Keywords

polynomial chaos; stochastic differential equations; stochastic processes; probability of failure

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In this paper, we consider two methods of computation of failure probabilities by adapted polynomial chaos expansions. The performance of the two methods is demonstrated by a predator-prey model and a chemical reaction problem. (C) 2007 Elsevier Inc. All rights reserved.

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