The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations, SIAM Journal on Scientific Computing, vol.24, issue.2, pp.619-644, 2002. ,
DOI : 10.1137/S1064827501387826
High-Order Collocation Methods for Differential Equations with Random Inputs, SIAM Journal on Scientific Computing, vol.27, issue.3, 1118. ,
DOI : 10.1137/040615201
An adaptive multi-element generalized polynomial chaos method for stochastic differential equations, Journal of Computational Physics, vol.209, issue.2, pp.617-642, 2005. ,
DOI : 10.1016/j.jcp.2005.03.023
Stochastic Finite Elements. A spectral approach, 1991. ,
DOI : 10.1007/978-1-4612-3094-6
A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data, SIAM Journal on Numerical Analysis, vol.46, issue.5, pp.2309-2345, 2008. ,
DOI : 10.1137/060663660
Multi-element probabilistic collocation method in high dimensions, Journal of Computational Physics, vol.229, issue.5, pp.1536-1557, 2010. ,
DOI : 10.1016/j.jcp.2009.10.043
Efficient Shape Optimization Under Uncertainty Using Polynomial Chaos Expansions and Local Sensitivities, AIAA Journal, vol.44, issue.5, 2006. ,
DOI : 10.2514/1.13011
Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design , AIAA Paper, p.37, 2009. ,
Quadrature and interpolation formulas for tensor products of certain classes of functions, Soviet Math. Dokl, pp.240-243, 1963. ,
The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications, Journal of Computational Physics, vol.227, issue.22, pp.9572-9595, 2008. ,
DOI : 10.1016/j.jcp.2008.07.009
An adaptive Stochastic Finite Elements approach based on Newton???Cotes quadrature in simplex elements, Computers & Fluids, vol.38, issue.6, pp.1270-1288, 2009. ,
DOI : 10.1016/j.compfluid.2008.12.002
Refinement Criteria for Simplex Stochastic Collocation with Local Extremum Diminishing Robustness, SIAM Journal on Scientific Computing, vol.34, issue.3, 2012. ,
DOI : 10.1137/100817498
A one-time truncate and encode multiresolution stochastic framework, Journal of Computational Physics, vol.257, pp.19-56, 2014. ,
DOI : 10.1016/j.jcp.2013.08.006
URL : https://hal.archives-ouvertes.fr/hal-00699026
Adaptive Anisotropic Spectral Stochastic Methods for Uncertain Scalar Conservation Laws, SIAM Journal on Scientific Computing, vol.34, issue.5, 2012. ,
DOI : 10.1137/120863927
URL : https://hal.archives-ouvertes.fr/hal-00681200
Uncertainty propagation using Wiener???Haar expansions, Journal of Computational Physics, vol.197, issue.1, pp.28-57, 2004. ,
DOI : 10.1016/j.jcp.2003.11.033
Multi-resolution analysis of Wiener-type uncertainty propagation schemes, Journal of Computational Physics, vol.197, issue.2, pp.502-531, 2004. ,
DOI : 10.1016/j.jcp.2003.12.020
Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations, SIAM Journal on Numerical Analysis, vol.42, issue.2, pp.800-825, 2004. ,
DOI : 10.1137/S0036142902418680
Numerical methods and Smolyak quadrature for nonlinear partial differential equations, 2003. ,
Simple Cubature Formulas with High Polynomial Exactness, Constructive Approximation, vol.15, issue.4, pp.499-522, 1999. ,
DOI : 10.1007/s003659900119
High dimensional polynomial interpolation on sparse grids, Advances in Computational Mathematics, vol.12, issue.4, pp.273-288, 2000. ,
DOI : 10.1023/A:1018977404843
High dimensional integration of smooth functions over cubes, Numerische Mathematik, vol.75, issue.1, pp.79-97, 1996. ,
DOI : 10.1007/s002110050231
On the Smolyak cubature error for analytic functions, Advances in Computational Mathematics, vol.12, issue.1, pp.71-93, 2000. ,
DOI : 10.1023/A:1018904816230
Comparison of global sensitivity analysis techniques and importance measures in PSA, Reliability Engineering & System Safety, vol.79, issue.2, pp.175-185, 2003. ,
DOI : 10.1016/S0951-8320(02)00228-4
Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates, Mathematics and Computers in Simulation, vol.55, issue.1-3, pp.271-280, 2001. ,
DOI : 10.1016/S0378-4754(00)00270-6
Efficient input???output model representations, Computer Physics Communications, vol.117, issue.1-2, pp.11-20, 1999. ,
DOI : 10.1016/S0010-4655(98)00152-0
Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index, Computer Physics Communications, vol.181, issue.2, pp.181-259, 2010. ,
DOI : 10.1016/j.cpc.2009.09.018
Global sensitivity analysis using polynomial chaos expansions, Reliability Engineering & System Safety, vol.93, issue.7, pp.964-979, 2008. ,
DOI : 10.1016/j.ress.2007.04.002
URL : https://hal.archives-ouvertes.fr/hal-01432217
Polynomial chaos expansion for sensitivity analysis, Reliability Engineering & System Safety, vol.94, issue.7, pp.1161-1172, 2009. ,
DOI : 10.1016/j.ress.2008.10.008
A comparison of three metamodel-based methods for global sensitivity analysis: GP modelling, HDMR and LAR-gPC, Procedia - Social and Behavioral Sciences, vol.2, issue.6, pp.7613-7614, 2010. ,
DOI : 10.1016/j.sbspro.2010.05.143
Adaptive ANOVA decomposition of stochastic incompressible and compressible flows, Journal of Computational Physics, vol.231, issue.4, pp.1587-1614, 2012. ,
DOI : 10.1016/j.jcp.2011.10.028
Efficient computation of global sensitivity indices using sparse polynomial chaos expansions, Reliability Engineering & System Safety, vol.95, issue.11, pp.1216-1229, 2010. ,
DOI : 10.1016/j.ress.2010.06.015
Extending a global sensitivity analysis technique to models with correlated parameters, Computational Statistics & Data Analysis, vol.51, issue.12, pp.5579-5590, 2007. ,
DOI : 10.1016/j.csda.2007.04.003
Uncertainty and sensitivity analysis for models with correlated parameters, Reliability Engineering & System Safety, vol.93, issue.10, pp.1563-1573, 2008. ,
DOI : 10.1016/j.ress.2007.06.003
A new uncertainty importance measure, Reliability Engineering & System Safety, vol.92, issue.6, pp.771-784, 2007. ,
DOI : 10.1016/j.ress.2006.04.015
Distribution-based global sensitivity analysis in case of correlated input parameters using polynomial chaos expansions, p.2011 ,
DOI : 10.1201/b11332-105
Model emulation and moment-independent sensitivity analysis: An application to??environmental modelling, Environmental Modelling & Software, vol.34, pp.105-115, 2012. ,
DOI : 10.1016/j.envsoft.2011.06.006
URL : https://hal.archives-ouvertes.fr/halsde-00683551
Global sensitivity analysis using polynomial chaos expansions, Proc. 5th Int. Conf. on Comp. Stoch. Mech (CSM5) ,
DOI : 10.1016/j.ress.2007.04.002
URL : https://hal.archives-ouvertes.fr/hal-01432217
Uncertainty propagation and sensitivity analysis in mechanical models Contributions to structural reliability and stochastic spectral methods, HabilitationàHabilitation`Habilitationà Diriger des Recherches, pp.1-252, 2007. ,
Numerical investigation of dense-gas effects in turbomachinery, Computers & Fluids, vol.49, issue.1, pp.290-301, 2011. ,
DOI : 10.1016/j.compfluid.2011.06.012
URL : https://hal.archives-ouvertes.fr/inria-00601545
Shape optimization of an airfoil in a BZT flow with multiple-source uncertainties, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.1-4, pp.216-232, 2010. ,
DOI : 10.1016/j.cma.2010.08.006
URL : https://hal.archives-ouvertes.fr/inria-00549220
Valuation of mortgage-backed securities using Brownian bridges to reduce effective dimension, The Journal of Computational Finance, vol.1, issue.1, pp.26-47, 1997. ,
DOI : 10.21314/JCF.1997.005
Abstract, Communications in Computational Physics, vol.29, issue.02, pp.1-33, 2010. ,
DOI : 10.4208/cicp.090110.080910a
The Transonic Flow Through a Plane Turbine Cascade as Measured in Four European Wind Tunnels, Journal of Engineering for Gas Turbines and Power, vol.108, issue.2, pp.277-284, 1986. ,
DOI : 10.1115/1.3239900
Sensitivity analysis of dense gas flow simulations to thermodynamic uncertainties, Physics of Fluids, vol.23, issue.11, pp.1-20, 2011. ,
DOI : 10.1063/1.3657080
URL : https://hal.archives-ouvertes.fr/inria-00630032
Maximum intensity of rarefaction shock waves for dense gases, Journal of Fluid Mechanics, vol.14, pp.127-146, 2010. ,
DOI : 10.1063/1.1693693
TSI metamodels-based multi-objective robust optimization, Engineering Computations, vol.30, issue.8, pp.30-1032, 2013. ,
DOI : 10.1108/EC-01-2012-0012
URL : https://hal.archives-ouvertes.fr/hal-00807652
Real-Gas Effects in Organic Rankine Cycle Turbine Nozzles, Journal of Propulsion and Power, vol.24, issue.2, pp.282-294, 2008. ,
DOI : 10.2514/1.29718
Spectral Methods for Uncertainty Quantification: With Applications to Computational Fluid Dynamics, 2010. ,
DOI : 10.1007/978-90-481-3520-2