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Modeling uncertainty in flow simulations via generalized polynomial chaos · Study

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ArticleModeling uncertainty in flow simulations via generalized polynomial chaos

Dongbin Xiu2003

Article2003

Modeling uncertainty in flow simulations via generalized polynomial chaos

Dongbin Xiu · George Em Karniadakis

1,428 citations·0/0 files stored·Journal of Computational Physics

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Probabilistic and Robust Engineering Design Advanced Numerical Methods in Computational Mathematics Model Reduction and Neural Networks

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References

1991Stochastic Finite Elements: A Spectral Approach

Cited by

2008Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics 2009Fast Numerical Methods for Stochastic Computations: A Review 2005An adaptive multi-element generalized polynomial chaos method for stochastic differential equations 2002Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos 2006Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures 2012Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion 2009An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations 2004Uncertainty propagation using Wiener–Haar expansions

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2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equationsarticle · 1 shared reference 2007Global sensitivity analysis using polynomial chaos expansionsarticle · 1 shared reference 2011AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulationarticle · 1 shared reference 2005High-Order Collocation Methods for Differential Equations with Random Inputsarticle · 1 shared reference 2010Adaptive sparse polynomial chaos expansion based on least angle regressionarticle · 1 shared reference 2008The stochastic finite element method: Past, present and futurearticle · 1 shared reference

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Year2003

Typearticle

Published2003-04-23

VenueJournal of Computational Physics

ISSN-L0021-9991

Languageen

Citations1,428

Files0 public / 0

ShelfProbabilistic and Robust Engineering Design

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doi10.1016/s0021-9991(03)00092-5

openalex_workW2136602340

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