I. Babu?skababu?ska and P. Chatzipantelidis, On solving elliptic stochastic partial differential equations, Computer Methods in Applied Mechanics and Engineering, vol.191, issue.37-38, pp.4093-4122, 2002.
DOI : 10.1016/S0045-7825(02)00354-7

I. M. Babu?skababu?ska, R. Tempone, and G. E. Zouraris, Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation, Comput. Methods Appl. Mech. Engrg, vol.194, pp.12-161251, 2005.

I. M. Babu?skababu?ska, F. Nobile, and R. Tempone, A stochastic collocation method for elliptic partial differential equations with random input data, SIAM J. Numer. Anal, vol.43, issue.3, pp.1005-1034, 2007.

J. P. Boyd, Asymptotic coefficients of hermite function series, Journal of Computational Physics, vol.54, issue.3, pp.382-410, 1984.
DOI : 10.1016/0021-9991(84)90124-4

P. G. Ciarlet, The Finite Element Method for Elliptic Problems, 1978.

J. Burkardt, SGMGA, Sparse Grid Mixed Growth Anisotropic Rules

P. J. Davis and P. Rabinowitz, Methods of Numerical Integration, 1975.

J. Erhel, Z. Mghazli, and M. Oumouni, Calcul de l'espérance de la solution d'une EDP stochastique unidimensionnelle à l'aide d'une base réduite, C.R.Acad.Sci.Paris, Ser. I, vol.349, pp.2011-861

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

T. Gerstner and M. , Numerical integration using sparse grid, Numerical Algorithms, vol.18, issue.3/4, pp.209-232, 1998.
DOI : 10.1023/A:1019129717644

T. Gerstner and M. Griebel, Dimension?Adaptive Tensor?Product Quadrature, Computing, vol.71, issue.1, pp.65-87, 2003.
DOI : 10.1007/s00607-003-0015-5

R. G. Ghanem and P. D. Spanos, Stochastic finite elements: a spectral approach, 1991.
DOI : 10.1007/978-1-4612-3094-6

O. P. Le-maître, O. M. Knio, H. N. Najm, and R. G. Ghanem, 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

M. Loève, Probability Theory I" I, fourth edition, Graduate Texts in Mathematics, vol.45, 1977.

M. Loève, Probability Theory" II, fourth edition, Graduate Texts in Mathematics, vol.46, 1978.

F. Nobile, R. Tempone, and C. Webster, A sparse grid stochastic collocation method for elliptic partial differential equations with random input data, SIAM, vol.46, issue.5, pp.2309-2345, 2008.

F. Nobile, R. Tempone, and C. Webster, An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data, SIAM Journal on Numerical Analysis, vol.46, issue.5, pp.2411-2442, 2008.
DOI : 10.1137/070680540

S. Smolyak, Quadrature and Interpolation Formulas for Tensor Products of Certain Classes of Functions, Doklady Akademii Nauk SSSR, vol.4, pp.240-243, 1963.

G. W. Wasilkowski and H. Wo?niakowski, Explicit Cost Bounds of Algorithms for Multivariate Tensor Product Problems, Journal of Complexity, vol.11, issue.1, pp.1-56, 1995.
DOI : 10.1006/jcom.1995.1001