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Efficient Sensitivity/Uncertainty Analysis Using the Combined Stochastic Response Surface Method and Automated Differentiation: Application to Environmental and Biological Systems
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QUANTIFICATION (2011)ORTHOGONAL BASES FOR POLYNOMI…The estimation of functional uncertainty using polynomial chaos and adjoint equations (2010)The estimation of functional …Polynomial Regression Approaches Using Derivative Information for Uncertainty Quantification (2010)Polynomial Regression Approac…Collocation least-squares polynomial chaos method (2010)Collocation least-squares pol…Efficient uncertainty quantification with the polynomial chaos method for stiff systems (2009)Efficient uncertainty quantif…A hybrid collocation/Galerkin scheme for convective heat transfer problems with stochastic boundary conditions (2009)A hybrid collocation/Galerkin…Uncertainty quantification using polynomial chaos expansion with points of monomial cubature rules (2008)Uncertainty quantification us…Efficient Shape Optimization Under Uncertainty Using Polynomial Chaos Expansions and Local Sensitivities (2006)Efficient Shape Optimization …Adaptive reduction of random variables using global sensitivity 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  • 2004Sensitivity Analysis in Multicriteria Spatial Decision-Making: A Review107 cited
  • 2010Polynomial Regression Approaches Using Derivative Information for Uncertainty Quantification88 cited
  • 2012Gradient-Enhanced Universal Kriging for Uncertainty Propagation66 cited
  • 2008Uncertainty quantification using polynomial chaos expansion with points of monomial cubature rules51 cited
  • 2006Efficient Shape Optimization Under Uncertainty Using Polynomial Chaos Expansions and Local Sensitivities51 cited
  • 2011Weighted stochastic response surface method considering sample weights45 cited
  • 2009Efficient uncertainty quantification with the polynomial chaos method for stiff systems42 cited
  • 2006Adaptive reduction of random variables using global sensitivity in reliability-based optimisation38 cited
  • 2012Optimizations Under Uncertainty Using Gradients, Hessians, and Surrogate Models38 cited
  • 2011Polynomial chaos expansion based robust design optimization29 cited
  • 2009A hybrid collocation/Galerkin scheme for convective heat transfer problems with stochastic boundary conditions27 cited
  • 2013A comparative study of three collocation point methods for odd order stochastic response surface method27 cited
  • 2011ORTHOGONAL BASES FOR POLYNOMIAL REGRESSION WITH DERIVATIVE INFORMATION IN UNCERTAINTY QUANTIFICATION

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27 cited
  • 2010The estimation of functional uncertainty using polynomial chaos and adjoint equations27 cited
  • 2012A double weighted stochastic response surface method for reliability analysis24 cited
  • 2010Collocation least-squares polynomial chaos method24 cited