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We consider elliptic partial differential equations with diffusion coefficients that depend affinely on countably many parameters.
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J. Beck, F. Nobile, L. Tamellini, and R.Tempone, Convergence of quasi-optimal stochastic Galerkin methods for a class of PDEs with random coefficients
2014
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2015
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A. Chkifa, A. Cohen and C. Schwab, Breaking the curse of dimensionality in sparse polynomial approximation of parametric PDEs
2015
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A. Cohen and R. DeVore, Approximation of high-dimensional parametric PDEs
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