Propagation of input model uncertainties with different marginal distributions using a hybrid polynomial chaos expansion

Annals of Nuclear Energy

Volumn 66, Issue , 2014, Pages 1-4

  Ayres, D ^a   Park, S ^a   Eaton, M D ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Hybrid polynomial chaos; Polynomial chaos

Indexed keywords

UNCERTAINTY ANALYSIS;

CONVERGENCE RATES; GAUSSIAN DISTRIBUTED; GAUSSIAN PROBABILITY; HERMITE POLYNOMIALS; MARGINAL DISTRIBUTION; POLYNOMIAL CHAOS; POLYNOMIAL CHAOS EXPANSION; POLYNOMIAL ORDER;

POLYNOMIALS;

EID: 84896517389     PISSN: 03064549     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.anucene.2013.11.041     Document Type: Article

References (10)

1. D.G. Cacuci Sensitivity and Uncertainty Analysis 2003 Chapman and Hall
2. E.D. Fichtl, and A.K. Prinja The stochastic collocation method for radiation transport in random media J. Quant. Spectrosc. Radiat. Trans. 112 4 2011 646 659
3. R. Ghanem Ingredients for a general purpose stochastic finite elements implementation Comput. Methods Appl. Mech. Eng. 168 1999 19 34
4. H.N. Najm Uncertainty quantification and polynomial chaos techniques in computational fluid dynamics Annu. Rev. Fluid Mech. 41 2009 35 52
5. G. Stefanou The stochastic finite element method: past, present and future Comput. Methods Appl. Mech. Eng. 198 9-12 2009 1031 1051
6. N. Wiener The homogeneous chaos Am. J. Math. 60 1938 897 936
7. M.M.R. Williams Polynomial chaos functions and neutron diffusion Nucl. Sci. Eng. 155 2007 109 118 (Pubitemid 46094278)
8. M.M.R. Williams A method for solving a stochastic eigenvalue problem applied to criticality Ann. Nucl. Energy 37 6 2010 894 897
9. D. Xiu, and J. Hesthaven High-order collocation methods for differential equations with random inputs SIAM J. Sci. Comput. 27 3 2005 1118 1139
10. D. Xiu, and G.E. Karniadakis The Wiener-Askey polynomial chaos for stochastic differential equations SIAM J. Sci. Comput. 24 2 2002 619 644