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A new probabilistic distribution matching PATC formulation using polynomial chaos expansion
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 1998Stochastic Response Surface Methods (SRSMs) for Uncertainty Propagation: Application to Environmental and Biological Systems387 cited
  • 2009Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design371 cited
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  • 2008A comparative study of uncertainty propagation methods for black-box-type problems331 cited
  • 1999Uncertainty Analysis of Transport-Transformation Models329 cited
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  • 2008Eigenvector dimension reduction (EDR) method for sensitivity-free probability analysis179 cited
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  • 2008Statistical volume element method for predicting microstructure–constitutive property relations133 cited
  • 2000Efficient Sensitivity/Uncertainty Analysis Using the Combined Stochastic Response Surface Method and Automated Differentiation: Application to Environmental and Biological Systems105 cited

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  • 2005Probabilistic Analytical Target Cascading: A Moment Matching Formulation for Multilevel Optimization Under Uncertainty96 cited
  • 2005Probabilistic Analytical Target Cascading: A Moment Matching Formulation for Multilevel Optimization Under Uncertainty96 cited
  • 2005Design Optimization of Hierarchically Decomposed Multilevel Systems Under Uncertainty86 cited
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