Propagation of probabilistic uncertainty in complex physical systems using a stochastic finite element approach
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M. Loève, Fonctions aleatoires du second ordre, supplement to P. Levy, Processus Stochastic et Mouvement Brownien, Paris, Gauthier Villars, 1948.
S. Kakutani, in: J. Neyman (Ed.), Spectral analysis of stationary Gaussian processes, Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, University of California, Vol. II, 1961, pp. 239–247.
G. Kallianpur, Homogeneous chaos expansions, in: M. Rosenblatt, C. Van Atta, Statistical Models in Turbulence, Springer, Berlin, Heidelberg, 1972, pp. 230–254,.
R. Ghanem, Probabilistic characterization of transport in heterogeneous porous media, Comput. Meth. Appl. Mech. Eng. 158 (3-4) (1998).
Li, 1998, Adaptive polynomial chaos simulation applied to statistics of extremes in nonlinear random vibration, Probabilistic Eng. Mech., 13, 125, 10.1016/S0266-8920(97)00020-9