N. Wiener, The Homogeneous Chaos, American Journal of Mathematics, vol.60, issue.4, pp.897-936, 1938.
DOI : 10.2307/2371268

D. Xiu and G. E. Karniadakis, Modeling uncertainty in flow simulations via generalized polynomial chaos, Journal of Computational Physics, vol.187, issue.1, pp.137-167, 2003.
DOI : 10.1016/S0021-9991(03)00092-5

X. Wan and G. E. Karniadakis, Long-term behavior of polynomial chaos in stochastic flow simulations, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.41-43, pp.5582-5596, 2006.
DOI : 10.1016/j.cma.2005.10.016

M. Gerritsma, J. Van-der-steen, P. Vos, and G. E. Karniadakis, Time-dependent generalized polynomial chaos, Journal of Computational Physics, vol.229, issue.22, pp.8333-8363, 2010.
DOI : 10.1016/j.jcp.2010.07.020

J. Foo and G. E. Karniadakis, 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

L. Ma??trema??tre, 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

O. and L. Ma??trema??tre, 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

J. Tryoen, O. Le-ma??trema??tre, M. Ndjinga, and A. Ern, Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems, Journal of Computational Physics, vol.229, issue.18, pp.6485-6511, 2010.
DOI : 10.1016/j.jcp.2010.05.007

R. Abgrall, P. M. Congedo, C. Corre, and S. Galéra, A simple semi-intrusive method for uncertainty quantification of shocked flows, comparison with a non-intrusive polynomial chaos method, European Conference on Computational Fluid Dynamics ECCOMAS CFD 2010, pp.14-17, 2010.
URL : https://hal.archives-ouvertes.fr/inria-00538076

R. Abgrall, P. M. Congedo, and S. Galéra, A semi-intrusive deterministic approach to uncertainty quantification in non-linear fluid flow problems, Journal of Computational Physics, vol.235, 2011.
DOI : 10.1016/j.jcp.2012.07.041
URL : https://hal.archives-ouvertes.fr/hal-00913846

R. Abgrall, P. M. Congedo, S. Galéra, and G. Geraci, Semi-intrusive and non-intrusive stochastic methods for aerospace applications, 4TH EUROPEAN CONFERENCE FOR AEROSPACE SCIENCES, pp.1-8, 2011.
URL : https://hal.archives-ouvertes.fr/inria-00603624

A. Harten, Adaptive Multiresolution Schemes for Shock Computations, Journal of Computational Physics, vol.115, issue.2, pp.260-278, 1994.
DOI : 10.1006/jcph.1994.1199

A. Harten, Multiresolution algorithms for the numerical solution of hyperbolic conservation laws, Communications on Pure and Applied Mathematics, vol.43, issue.12, pp.1305-1342, 1995.
DOI : 10.1002/cpa.3160481201

A. Harten, Multiresolution Representation of Data: A General Framework, SIAM Journal on Numerical Analysis, vol.33, issue.3, pp.1205-1256, 1996.
DOI : 10.1137/0733060

R. Abgrall, P. M. Congedo, and G. Geraci, A one-time truncate and encode multiresolution stochastic framework, Journal of Computational Physics, vol.257, 2012.
DOI : 10.1016/j.jcp.2013.08.006
URL : https://hal.archives-ouvertes.fr/hal-00699026

O. Le-ma??trema??tre and O. Knio, Spectral Methods for Uncertainty Quantification: With Applications to Computational Fluid Dynamics, 2010.
DOI : 10.1007/978-90-481-3520-2

R. Abgrall and A. Harten, Multiresolution Representation in Unstructured Meshes, SIAM Journal on Numerical Analysis, vol.35, issue.6, pp.2128-2146, 1998.
DOI : 10.1137/S0036142997315056
URL : https://hal.archives-ouvertes.fr/inria-00074335

A. Quarteroni, Modellistica numerica per problemi differenziali, 2008.
DOI : 10.1007/978-88-470-0842-7