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Sparse polynomial surrogates for non-intrusive, high-dimensional uncertainty quantification of aeroelastic computations
16 references·0 citing·23 second hop
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References

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  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
  • 2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
  • 2009An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis834 cited
  • 2008Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics769 cited
  • 2004Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure609 cited
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  • 2004Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes451 cited
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  • 2014Compressive sampling of polynomial chaos expansions: Convergence analysis and sampling strategies212 cited
  • 2007Modeling physical uncertainties in dynamic stall induced fluid–structure interaction of turbine blades using arbitrary polynomial chaos

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139 cited
  • 2012A Compressed Sensing Approach for Partial Differential Equations with Random Input Data83 cited
  • 1979A Finite Element Method for Random Differential Equations with Random Coefficients51 cited
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