Static homotopy response analysis of structure with random variables of arbitrary distributions by minimizing stochastic residual error

The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations

Dongbin Xiu, George Em Karniadakis · SIAM Journal on Scientific Computing · 2002 · 4.7K citations

Natural Sciences, Computational Engineering, Mathematics +16

A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output From a Computer Code

Michael D. McKay, Richard J. Beckman, W. J. Conover · Technometrics · 2000 · 2.7K citations

Natural Sciences, Computer Science, Mathematics +17

Adaptive sparse polynomial chaos expansion based on least angle regression

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Natural Sciences, Mathematics, Time Series Analysis +6

Simulation of Stochastic Processes by Spectral Representation

Masanobu Shinozuka, George Deodatis · Applied Mechanics Reviews · 1991 · 1.3K citations

Engineering, Computational Engineering, Statistical Computing +16

An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis

Géraud Blatman, Bruno Sudret · Probabilistic Engineering Mechanics · 2009 · 810 citations

Computing, Computational Engineering, Mathematics +13