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ORTHOGONAL BASES FOR POLYNOMIAL REGRESSION WITH DERIVATIVE INFORMATION IN UNCERTAINTY QUANTIFICATION

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References

1993Optimal design of experiments1,539 cited
2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
2006Optimal Design of Experiments684 cited
1990Polynomial Chaos in Stochastic Finite Elements416 cited
2001Solution of stochastic partial differential equations using Galerkin finite element techniques414 cited
2004Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation345 cited
1985An Examination of Response-Surface Methodologies for Uncertainty Analysis in Assessment Models157 cited
2000Efficient Sensitivity/Uncertainty Analysis Using the Combined Stochastic Response Surface Method and Automated Differentiation: Application to Environmental and Biological Systems105 cited
2006Optimal Design of Experiments (Classics in Applied Mathematics) (Classics in Applied Mathematics, 50)90 cited
2010Polynomial Regression Approaches Using Derivative Information for Uncertainty Quantification88 cited
2007Reliability of computational science55 cited
2006Adaptive reduction of random variables using global sensitivity in reliability-based optimisation38 cited

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Sensitivity-enhanced generalized polynomial chaos for efficient uncertainty quantification

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