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Incomplete statistical information limits the utility of high-order polynomial chaos expansions
16 references·4 citing·34 second hop
Incomplete statistical information limits the utility of high-order polynomial chaos expansions (2017)Incomplete statistical information limits…Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion (2012)Data-driven uncertainty quant…Multi-element probabilistic collocation method in high dimensions (2009)Multi-element probabilistic c…Sparse polynomial chaos expansions and adaptive stochastic finite elements using a regression approach (2008)Sparse polynomial chaos expan…Polynomial chaos expansion for sensitivity analysis (2008)Polynomial chaos expansion fo…Probabilistic collocation method for flow in porous media: Comparisons with other stochastic methods (2007)Probabilistic collocation met…Modeling physical uncertainties in dynamic stall induced fluid–structure interaction of turbine blades using arbitrary polynomial chaos (2007)Modeling physical uncertainti…Global sensitivity analysis using polynomial chaos expansions (2007)Global sensitivity analysis u…Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures (2006)Multi-Element Generalized Pol…Modeling Arbitrary Uncertainties Using Gram-Schmidt Polynomial Chaos (2006)Modeling Arbitrary Uncertaint…Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)Galerkin methods for linear a…Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Modeling uncertainty in flow …Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Latin hypercube sampling and …Stochastic Calculus: Applications in Science and Engineering (2002)Stochastic Calculus: Applicat…Stochastic Response Surface Methods (SRSMs) for Uncertainty Propagation: Application to Environmental and Biological Systems (1998)Stochastic Response Surface M…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Structural Reliability under Incomplete Probability Information (1986)Structural Reliability under …A fully Bayesian sparse polynomial chaos expansion approach with joint priors on the coefficients and global selection of terms (2023)A fully Bayesian sparse polyn…Consistency regularization-based deep polynomial chaos neural network method for reliability analysis (2022)Consistency regularization-ba…Arbitrary multi-resolution multi-wavelet-based polynomial chaos expansion for data-driven uncertainty quantification (2022)Arbitrary multi-resolution mu…Global sensitivity analysis of a CaO/Ca(OH)2 thermochemical energy storage model for parametric effect analysis (2021)Global sensitivity analysis o…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations (2009)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)Statistics for Experimenters: An Introduction to Design, Data Analysis and Model Building. 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203 cited
  • 2006Modeling Arbitrary Uncertainties Using Gram-Schmidt Polynomial Chaos146 cited
  • 2007Modeling physical uncertainties in dynamic stall induced fluid–structure interaction of turbine blades using arbitrary polynomial chaos139 cited
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    • 2023A fully Bayesian sparse polynomial chaos expansion approach with joint priors on the coefficients and global selection of terms18 cited
    • 2021Global sensitivity analysis of a CaO/Ca(OH)2 thermochemical energy storage model for parametric effect analysis14 cited