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Wiener–Hermite polynomial expansion for multivariate Gaussian probability measures · Study

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ArticleWiener–Hermite polynomial expansion for multivariate Gaussian probability measures

Sharif Rahman2017

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Articlebronze2017

Wiener–Hermite polynomial expansion for multivariate Gaussian probability measures

49 citations·0/0 files stored·Journal of Mathematical Analysis and Applications

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Probabilistic and Robust Engineering Design Mathematical functions and polynomials Gaussian Processes and Bayesian Inference

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References

2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations 2007Simulation and the Monte Carlo Method 2004Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure 2005An adaptive multi-element generalized polynomial chaos method for stochastic differential equations 2004A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics 2011On the convergence of generalized polynomial chaos expansions 2006Wiener Chaos expansions and numerical solutions of randomly forced equations of fluid mechanics 2004On the accuracy of the polynomial chaos approximation

Cited by

2018Uncertainty quantification under dependent random variables by a generalized polynomial dimensional decomposition 2020Global sensitivity analysis: A Bayesian learning based polynomial chaos approach 2022Anisotropic multi-element polynomial chaos expansion for high-dimensional non-linear structural problems 2022An adaptive dimension-reduction method-based sparse polynomial chaos expansion via sparse Bayesian learning and Bayesian model averaging

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Year2017

Typearticle

Published2017-05-03

VenueJournal of Mathematical Analysis and Applications

ISSN-L0022-247X

Languageen

Citations49

Files0 public / 0

ShelfProbabilistic and Robust Engineering Design

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doi10.1016/j.jmaa.2017.04.062

openalex_workW2610654596

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