S. Audebert, SICODYN international benchmark on dynamic analysis of structure assemblies: variability and numerical-experimental correlation on an industrial pump, M??canique & Industries, vol.11, issue.6, pp.439-451, 2010.
DOI : 10.1051/meca/2010063

S. Audebert and F. Lo, Uncertainty Analysis on a Pump Assembly using Component Mode Synthesis, Proceedings of 4th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, 2013.

A. Chatterjee, An introduction to the proper orthogonal decomposition, Current science, vol.78, issue.7, pp.808-817, 2000.

S. Daouk, F. Louf, O. Dorival, L. Champaney, and S. Audebert, Modelling of uncertainties on industrial structures : a review of basic stochastic and other methods, and application to simple and complex structures

G. S. Fishman, Monte Carlo: Concepts, Algorithms and Applications, 1996.
DOI : 10.1007/978-1-4757-2553-7

R. G. Ghanem and P. D. Spanos, Stochastic Finite Elements: A Spectral Approach, 1991.
DOI : 10.1007/978-1-4612-3094-6

M. Kleiber and T. D. Hien, The stochastic finite element method : basic perturbation technique and computer implementation, 1992.

P. Ladevèze, On a Theory of the Lack of Knowledge in Structural Computation, 2002.

P. Ladevèze, G. Puel, R. , and T. , Lack of knowledge in structural model validation, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.37-40, pp.4697-4710, 2006.
DOI : 10.1016/j.cma.2005.10.017

P. Ladevèze, G. Puel, R. , and T. , On a strategy for the reduction of the lack of knowledge (LOK) in model validation, Reliability Engineering & System Safety, vol.91, issue.10-11, pp.1452-1460, 2006.
DOI : 10.1016/j.ress.2005.11.058

L. Ma??trema??tre, O. P. Knio, and O. M. , Spectral methods for uncertainty quantification: with applications to computational fluid dynamics, 2010.

F. Louf and L. Champaney, Fast validation of stochastic structural models using a PGD reduction scheme. Finite Elements in Analysis and Design, pp.70-7144, 2013.

F. Louf, P. Enjalbert, P. Ladevèze, R. , and T. , On lack-of-knowledge theory in structural mechanics, Comptes Rendus M??canique, vol.338, issue.7-8, pp.424-433, 2010.
DOI : 10.1016/j.crme.2010.07.012

H. G. Matthies, C. E. Brenner, C. G. Bucher, G. Soares, and C. , Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements, Structural Safety, vol.19, issue.3, pp.283-336, 1997.
DOI : 10.1016/S0167-4730(97)00013-1

D. Moens and M. Hanss, Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances. Finite Elements in Analysis and Design, pp.4-16, 2011.

R. L. Muhanna and R. L. Mullen, Uncertainty in Mechanics Problems???Interval???Based Approach, Journal of Engineering Mechanics, vol.127, issue.6, pp.557-566, 2001.
DOI : 10.1061/(ASCE)0733-9399(2001)127:6(557)

A. Nouy, A priori model reduction through Proper Generalized Decomposition for solving time-dependent partial differential equations, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.23-24, pp.1991603-1626, 2010.
DOI : 10.1016/j.cma.2010.01.009

URL : https://hal.archives-ouvertes.fr/hal-00455635

D. Ryckelynck, F. Chinesta, E. Cueto, and A. Ammar, On thea priori model reduction: Overview and recent developments, Archives of Computational Methods in Engineering, vol.43, issue.5, pp.91-128, 2006.
DOI : 10.1007/BF02905932

G. Schuëller, Computational stochastic mechanics ??? recent advances, Computers & Structures, vol.79, issue.22-25, pp.2225-2234, 2001.
DOI : 10.1016/S0045-7949(01)00078-5

D. Xiu and G. E. Karniadakis, A new stochastic approach to transient heat conduction modeling with uncertainty, International Journal of Heat and Mass Transfer, vol.46, issue.24, pp.464681-4693, 2003.
DOI : 10.1016/S0017-9310(03)00299-0

F. Yamazaki and M. Shinozuka, Stochastic finite element analysis: an introduction, Stochastic Structural Dynamics: Progress in Theory and Applications, pp.241-291, 1988.