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Modelling non-Gaussian uncertainties and the Karhunen–Loéve expansion within the context of polynomial chaos
12 references·0 citing·37 second hop
Modelling non-Gaussian uncertainties and the Karhunen–Loéve expansion within the context of polynomial chaos (2014)Modelling non-Gaussian uncertainties and …Numerical solution of the Karhunen–Loeve integral equation with examples based on various kernels derived from the Nataf procedure (2014)Numerical solution of the Kar…Reconstruction of 2-D porous media using Karhunen–Lóeve expansion (2013)Reconstruction of 2-D porous …Reconstruction of Porous Media Using Karhunen-Loève Expansion (2012)Reconstruction of Porous Medi…Do Rosenblatt and Nataf isoprobabilistic transformations really differ? (2009)Do Rosenblatt and Nataf isopr…Uncertainty propagation in CFD using polynomial chaos decomposition (2006)Uncertainty propagation in CF…Polynomial chaos functions and stochastic differential equations (2006)Polynomial chaos functions an…Correlation and Dependence (2001)Correlation and DependenceCorrelation and Dependence (2001)Correlation and DependenceEstimating project and activity duration: a risk management approach using network analysis (1998)Estimating project and activi…A review of expert judgment techniques with reference to nuclear safety (1992)A review of expert judgment t…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Structural Reliability under Incomplete Probability Information (1986)Structural Reliability under …Exact and Invariant Second-Moment Code Format (1974)Structural Reliability Methods (1996)An Introduction to Copulas (1999)Environmental contours using copulas (2015)OpenTURNS: An Industrial Software for Uncertainty Quantification in Simulation (2015)A general framework for data-driven uncertainty quantification under complex input dependencies using vine copulas (2018)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems (2010)Time-dependent generalized polynomial chaos (2010)Adaptive sparse polynomial chaos expansions for global sensitivity analysis based on support vector regression (2017)Judgment under Uncertainty: Heuristics and Biases (1974)Judgment under Uncertainty: Heuristics and Biases (1975)The Framing of Decisions and the Psychology of Choice (1981)Impact of equipment reliability on safety classification of research reactors (2024)Structural reliability under combined random load sequences (1978)Narrow Reliability Bounds for Structural Systems (1979)Second‐Order Reliability Approximations (1987)Optimal Discretization of Random Fields (1993)Reliability analysis—a review and some perspectives (2001)Probabilistic characterization of transport in heterogeneous media (1998)Karhunen–Loéve Expansion of Stochastic Processes with a Modified Exponential Covariance Kernel (2007)An efficient stochastic framework to propagate the effect of the random solid-pore geometry of porous media on the pore-scale flow (2016)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)A polynomial chaos approach to the robust analysis of the dynamic behaviour of friction systems (2011)A new perspective on the solution of uncertainty quantification and reliability analysis of large-scale problems (2014)Dynamic response of a Spur gear system with uncertain friction coefficient (2016)Cultural differences as an explanatory variable for adversarial attitudes in the construction industry: the case of Hong Kong (2003)Judgmental risk analysis process development in construction projects (2004)Data-Driven Machine Learning Approach to Integrate Field Submittals in Project Scheduling (2020)Test of independence and randomness based on the empirical copula process (2004)Semiparametric estimation in copula models (2005)On the relationship between Spearman's rho and Kendall's tau for pairs of continuous random variables (2006)Actuarial Theory for Dependent Risks: Measures, Orders and Models (2005)Copula Modeling: An Introduction for Practitioners (2007)Lower bounds on sample size in structural equation modeling (2010)
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 1986Structural Reliability under Incomplete Probability Information853 cited
  • 2001Correlation and Dependence592 cited
  • 2001Correlation and Dependence322 cited
  • 2006Uncertainty propagation in CFD using polynomial chaos decomposition254 cited
  • 2009Do Rosenblatt and Nataf isoprobabilistic transformations really differ?149 cited
  • 1998Estimating project and activity duration: a risk management approach using network analysis77 cited
  • 2006Polynomial chaos functions and stochastic differential equations69 cited
  • 1992A review of expert judgment techniques with reference to nuclear safety34 cited
  • 2012Reconstruction of Porous Media Using Karhunen-Loève Expansion12 cited
  • 2013Reconstruction of 2-D porous media using Karhunen–Lóeve expansion12 cited
  • 2014Numerical solution of the Karhunen–Loeve integral equation with examples based on various kernels derived from the Nataf procedure9 cited

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