References

• 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
• 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
• 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
• 2009An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations447 cited
• 2007Sparse grid collocation schemes for stochastic natural convection problems401 cited
• 2006On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data191 cited
• 2007Modeling diffusion in random heterogeneous media: Data-driven models, stochastic collocation and the variational multiscale method96 cited
• 2011Kernel principal component analysis for stochastic input model generation93 cited
• 2008A non-linear dimension reduction methodology for generating data-driven stochastic input models60 cited
• 2009Identification of random shapes from images through polynomial chaos expansion of random level set functions49 cited
• 2009The effect of multiple sources of uncertainty on the convex hull of material properties of polycrystals36 cited
• 2008A stabilized stochastic finite element second-order projection method for modeling natural convection in random porous media28 cited

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