Journal
ANNALS OF NUCLEAR ENERGY
Volume 66, Issue -, Pages 1-4Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.anucene.2013.11.041
Keywords
Polynomial chaos; Hybrid polynomial chaos
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Funding
- EPSRC
- Engineering and Physical Sciences Research Council [1161032, EP/J002011/1] Funding Source: researchfish
- EPSRC [EP/J002011/1] Funding Source: UKRI
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We propose the use of a hybrid polynomial chaos expansion using both Legendre and Hermite polynomials to assess the combined effect of uniform and Gaussian distributed uncertainties. We show that the hybrid method converges exponentially with respect to the polynomial order of the hybrid basis. We also show that mapping the uniformly distributed uncertainties to a Gaussian probability then expanding with a purely Hermite basis results in a severely deteriorated convergence rate. (C) 2013 Elsevier Ltd. All rights reserved.
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