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Wiener's Polynomial Chaos for the Analysis and Control of Nonlinear Dynamical Systems with Probabilistic Uncertainties
16 references·1 citing·32 second hop
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References

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  • 2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
  • 1995Stochastic Programming1,539 cited
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  • 2008Polynomial chaos expansion for sensitivity analysis747 cited
  • 1999Uncertainty Analysis of Transport-Transformation Models329 cited
  • 2007Distributional uncertainty analysis using power series and polynomial chaos expansions195 cited
  • 2008Evaluation of Non-Intrusive Approaches for Wiener-Askey Generalized Polynomial Chaos187 cited
  • 1998Probabilistic characterization of transport in heterogeneous media166 cited
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  • 2009Linear quadratic regulation of systems with stochastic parameter uncertainties133 cited
  • 2006Application of polynomial chaos in stability and control119 cited
  • 2006Wiener Chaos Expansion and Numerical Solutions of Stochastic Partial Differential Equations104 cited
  • 2009Robust Aerodynamic Design Optimization Using Polynomial Chaos

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88 cited
  • 2011DESIGN UNDER UNCERTAINTY EMPLOYING STOCHASTIC EXPANSION METHODS87 cited
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    • 2020PoCET: a Polynomial Chaos Expansion Toolbox for Matlab18 cited