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Global sensitivity analysis: A flexible and efficient framework with an example from stochastic hydrogeology
16 references·10 citing·31 second hop
Global sensitivity analysis: A flexible and efficient framework with an example from stochastic hydrogeology (2011)Global sensitivity analysis: A flexible a…Multi-element probabilistic collocation method in high dimensions (2009)Multi-element probabilistic c…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…Global Sensitivity Analysis. The Primer (2007)Global Sensitivity Analysis. …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…Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure (2004)Physical Systems with Random …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 …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…Importance measures in global sensitivity analysis of nonlinear models (1996)Importance measures in global…Global Sensitivity Analysis (1995)Global Sensitivity AnalysisStochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Factorial Sampling Plans for Preliminary Computational Experiments (1991)Factorial Sampling Plans for …Polynomial Chaos in Stochastic Finite Elements (1990)Polynomial Chaos in Stochasti…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…Surrogate-based Bayesian comparison of computationally expensive models: application to microbially induced calcite precipitation (2021)Surrogate-based Bayesian comp…Global sensitivity analysis of a CaO/Ca(OH)2 thermochemical energy storage model for parametric effect analysis (2021)Global sensitivity analysis o…Sampling behavioral model parameters for ensemble-based sensitivity analysis using Gaussian process emulation and active subspaces (2020)Sampling behavioral model par…Robust Subsampling ANOVA Methods for Sensitivity Analysis of Water Resource and Environmental Models (2020)Robust Subsampling ANOVA Meth…Incomplete statistical information limits the utility of high-order polynomial chaos expansions (2017)Incomplete statistical inform…An efficient stochastic approach for flow in porous media via sparse polynomial chaos expansion constructed by feature selection (2017)An efficient stochastic appro…Global Sensitivity Analysis for Uncertain Parameters, Models, and Scenarios (2016)Global Sensitivity Analysis f…Probabilistic collocation method for strongly nonlinear problems: 2. Transform by displacement (2014)Probabilistic collocation met…Polynomial Response Surfaces for Probabilistic Risk Assessment and Risk Control via Robust Design (2012)Polynomial Response Surfaces …Principles of Operations Research. (1970)Dynamic Version of the Economic Lot Size Model (2004)How to avoid a perfunctory sensitivity analysis (2010)From screening to quantitative sensitivity analysis. A unified approach (2011)The generalization of Latin hypercube sampling (2015)Statistics for Experimenters (1979)Design and Analysis of Computer Experiments (1989)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Handbook on Constructing Composite Indicators (2005)An effective screening design for sensitivity analysis of large models (2007)A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output (1999)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)UQLab: A Framework for Uncertainty Quantification in Matlab (2014)Response Surfaces: Designs and Analyses (1997)An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions (2017)Sensitivity and uncertainty analysis for flexoelectric nanostructures (2018)THE DESIGN OF OPTIMUM MULTIFACTORIAL EXPERIMENTS (1946)On the Experimental Attainment of Optimum Conditions (1951)Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index (2009)Sensitivity analysis of environmental models: A systematic review with practical workflow (2016)SALib: An open-source Python library for Sensitivity Analysis (2017)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Fast Numerical Methods for Stochastic Computations: A Review (2009)On the convergence of generalized polynomial chaos expansions (2011)Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion (2012)An adaptive multi-element generalized polynomial chaos method for stochastic differential equations (2005)Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)
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References

  • 2007Global Sensitivity Analysis. The Primer6,425 cited
  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 1991Factorial Sampling Plans for Preliminary Computational Experiments4,936 cited
  • 2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
  • 1996Importance measures in global sensitivity analysis of nonlinear models2,014 cited
  • 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
  • 1995Global Sensitivity Analysis931 cited
  • 2008Polynomial chaos expansion for sensitivity analysis747 cited
  • 2004Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure609 cited
  • 2004Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations556 cited
  • 2006Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures498 cited
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  • 1998Stochastic Response Surface Methods (SRSMs) for Uncertainty Propagation: Application to Environmental and Biological Systems387 cited
  • 2002Stochastic Calculus: Applications in Science and Engineering345 cited
  • 2007Probabilistic collocation method for flow in porous media: Comparisons with other stochastic methods

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253 cited
  • 2009Multi-element probabilistic collocation method in high dimensions203 cited
  • Cited by

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    • 2023A fully Bayesian sparse polynomial chaos expansion approach with joint priors on the coefficients and global selection of terms18 cited
    • 2014Probabilistic collocation method for strongly nonlinear problems: 2. Transform by displacement17 cited
    • 2021Global sensitivity analysis of a CaO/Ca(OH)2 thermochemical energy storage model for parametric effect analysis14 cited
    • 2020Sampling behavioral model parameters for ensemble-based sensitivity analysis using Gaussian process emulation and active subspaces12 cited
    • 2021Surrogate-based Bayesian comparison of computationally expensive models: application to microbially induced calcite precipitation10 cited
    • 2012Polynomial Response Surfaces for Probabilistic Risk Assessment and Risk Control via Robust Design9 cited