H. Brezis, Analyse fonctionnelle. Collection Mathématiques Appliquées pour la Maîtrise, 1983.

R. H. Cameron and W. T. Martin, The orthogonal development of non-linear functionals in series of fourier-hermite functionals, Annals of Mathematics, pp.385-392, 1947.

F. C. Cooper, Optimisation of an idealised primitive equation ocean model using stochastic parameterization, Ocean Modelling, vol.113, pp.187-200, 2017.

R. Dautray and J. Lions, Mathematical analysis and numerical methods for science and technology, Mathematical Analysis and Numerical Methods for Science and Technology, vol.6, 1993.

A. Ern and J. Guermond, Éléments finis: théorie, applications, mise en oeuvre, Mathématiques et Applications, 2002.

A. Friedman, Improved leap-size selection for accelerated stochastic simulation, Stochastic differential equations and applications. No. vol. 1 in Probability and mathematical statistics, vol.119, pp.8229-8234, 1975.

E. Gobet, Monte-Carlo Methods and Stochastic Processes: From Linear to Non-Linear, 2016.

J. L. Hart, A. Alexanderian, and P. A. Gremaud, Efficient computation of sobol'indices for stochastic models, SIAM Journal on Scientific Computing, vol.39, issue.4, pp.1514-1530, 2017.

B. Iooss and M. Ribatet, Global sensitivity analysis of computer models with functional inputs, Reliability Engineering & System Safety, vol.94, issue.7, pp.1194-1204, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00243156

A. Janon, T. Klein, A. Lagnoux, M. Nodet, and C. Prieur, Asymptotic normality and efficiency of two sobol index estimators, ESAIM: Probability and Statistics, vol.18, pp.342-364, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00665048

M. N. Jimenez, L. Maître, O. Knio, and O. , Nonintrusive polynomial chaos expansions for sensitivity analysis in stochastic differential equations, SIAM/ASA Journal on Uncertainty Quantification, vol.5, issue.1, pp.378-402, 2017.

I. Karatzas and S. Shreve, Brownian motion and stochastic calculus, vol.113, 1991.

L. Maître, O. Knio, and O. M. , Spectral methods for uncertainty quantification: with applications to computational fluid dynamics, 2010.

O. P. Le-maître and O. M. Knio, Pc analysis of stochastic differential equations driven by wiener noise, Reliability Engineering & System Safety, vol.135, pp.107-124, 2015.

G. Lieberman, Second Order Parabolic Differential Equations. World Scientific Lions JL, Magenes E (1972) Non-homogeneous boundary value problems and applications, vol.I, p.181, 1996.

A. Marrel, B. Iooss, D. Veiga, S. Ribatet, and M. , Global sensitivity analysis of stochastic computer models with joint metamodels, Statistics and Computing, vol.22, issue.3, pp.833-847, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00525489

H. Monod, C. Naud, and D. Makowski, Uncertainty and sensitivity analysis for crop models. Working with dynamic crop models: Evaluation, analysis, parameterization, vol.4, pp.55-100, 2006.
URL : https://hal.archives-ouvertes.fr/hal-02823185

A. Nouy, Recent developments in spectral stochastic methods for the numerical solution of stochastic partial differential equations, Archives of Computational Methods in Engineering, vol.16, issue.3, pp.251-285, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00366636

A. Nouy, Low-rank methods for high-dimensional approximation and model order reduction, Model Reduction and Approximation: Theory and Algorithms, vol.15, p.171, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01262422

P. Raviart and J. Thomas, Introductionà l'analyse numérique deséquations aux dérivées partielles. Mathématiques appliquées pour la maîtrise, 2004.

A. Saltelli, K. Chan, and E. M. Scott, Sobol IM (1993) Sensitivity estimates for nonlinear mathematical models, Sensitivity analysis, vol.1, pp.407-414, 2000.

I. M. Sobol, Global sensitivity indices for nonlinear mathematical models and their monte carlo estimates, Mathematics and computers in simulation, vol.55, issue.1, pp.271-280, 2001.

A. W. Van-der-vaart, Cambridge Wiener N (1938) The homogeneous chaos, Cambridge Series in Statistical and Probabilistic Mathematics, vol.3, issue.4, pp.897-936, 1998.