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Probabilistic Approach to NASA Langley Research Center Multidisciplinary Uncertainty Quantification Challenge Problem
9 references·0 citing·36 second hop
Probabilistic Approach to NASA Langley Research Center Multidisciplinary Uncertainty Quantification Challenge Problem (2014)Probabilistic Approach to NASA Langley Re…The NASA Langley Multidisciplinary Uncertainty Quantification Challenge (2014)The NASA Langley Multidiscipl…Identification of Bayesian posteriors for coefficients of chaos expansions (2010)Identification of Bayesian po…Reduced Chaos decomposition with random coefficients of vector-valued random variables and random fields (2009)Reduced Chaos decomposition w…Polynomial chaos representation of spatio-temporal random fields from experimental measurements (2009)Polynomial chaos representati…Global sensitivity analysis using polynomial chaos expansions (2007)Global sensitivity analysis u…On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data (2006)On the construction and analy…Response Surface Methodology: Process and Product Optimization Using Designed Experiments (1996)Response Surface Methodology:…Response Surface Methodology: Process and Product Optimization Using Designed Experiments (1996)Response Surface Methodology:…Polynomial Chaos in Stochastic Finite Elements (1990)Polynomial Chaos in Stochasti…Stochastic Finite Elements: A Spectral Approach (1991)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure (2004)Identification of high-dimension polynomial chaos expansions with random coefficients for non-Gaussian tensor-valued random fields using partial and limited experimental data (2010)Kernel principal component analysis for stochastic input model generation (2011)Uncertainty quantification in computational stochastic multiscale analysis of nonlinear elastic materials (2012)Stochastic Finite Element Expansion for Random Media (1989)Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Probability density evolution method for dynamic response analysis of structures with uncertain parameters (2004)Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables (2007)An Introduction to Copulas (1999)A computational inverse method for identification of non-Gaussian random fields using the Bayesian approach in very high dimension (2011)Identification of Polynomial Chaos Representations in High Dimension from a Set of Realizations (2012)A data driven polynomial chaos based approach for stochastic analysis of CFRP laminated composite plates (2015)Statistics for Experimenters (1979)Design and Analysis of Experiments (1998)Modeling and optimization I: Usability of response surface methodology (2006)Response surface methodology (2010)A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output (1999)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)UQLab: A Framework for Uncertainty Quantification in Matlab (2014)Sensitivity analysis of environmental models: A systematic review with practical workflow (2016)Constructing Probability Boxes and Dempster-Shafer Structures (2003)Challenge problems: uncertainty in system response given uncertain parameters (2004)OpenCossan: An Efficient Open Tool for Dealing with Epistemic and Aleatory Uncertainties (2014)Uncertainty Management in Multidisciplinary Design of Critical Safety Systems (2014)From inference to design: A comprehensive framework for uncertainty quantification in engineering with limited information (2021)Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Stochastic model reduction for chaos representations (2007)A better understanding of model updating strategies in validating engineering models (2008)A least-squares approximation of partial differential equations with high-dimensional random inputs (2009)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Reduced chaos expansions with random coefficientsin reduced‐dimensional stochastic modeling of coupled problems (2013)Polynomial Chaos Expansion of a Multimodal Random Vector (2015)Reduced Wiener Chaos representation of random fields via basis adaptation and projection (2017)Research Issues and Ideas in Statistical Process Control (1999)
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References

  • 1996Response Surface Methodology: Process and Product Optimization Using Designed Experiments9,540 cited
  • 1996Response Surface Methodology: Process and Product Optimization Using Designed Experiments3,255 cited
  • 2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
  • 1990Polynomial Chaos in Stochastic Finite Elements416 cited
  • 2006On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data191 cited
  • 2010Identification of Bayesian posteriors for coefficients of chaos expansions103 cited
  • 2009Polynomial chaos representation of spatio-temporal random fields from experimental measurements80 cited
  • 2014The NASA Langley Multidisciplinary Uncertainty Quantification Challenge77 cited
  • 2009Reduced Chaos decomposition with random coefficients of vector-valued random variables and random fields57 cited

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