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Spectral and multiresolution Wiener expansions of oscillatory stochastic processes
9 references·16 citing·34 second hop
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this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2017Structural Reliability Analysis and Prediction3,780 cited
  • 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
  • 2002A Stochastic Projection Method for Fluid Flow503 cited
  • 2004Engineering Design Reliability Handbook468 cited
  • 2004Uncertainty propagation using Wiener–Haar expansions438 cited
  • 2001A Stochastic Projection Method for Fluid Flow338 cited
  • 1998Adaptive polynomial chaos expansions applied to statistics of extremes in nonlinear random vibration106 cited

Cited by

  • 2013A stochastic Galerkin method for the Euler equations with Roe variable transformation72 cited
  • 2013Fundamental limitations of polynomial chaos for uncertainty quantification in systems with intermittent instabilities70 cited
  • 2010Non-Intrusive Polynomial Chaos Methods for Uncertainty Quantification in Fluid Dynamics66 cited
  • 2017Surrogate Models for Oscillatory Systems Using Sparse Polynomial Chaos Expansions and Stochastic Time Warping52 cited
  • 2010Asynchronous time integration forpolynomial chaos expansion of uncertain periodic dynamics51 cited

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  • 2010Comput. Methods Appl. Mech. Engrg.51 cited
  • 2007Probabilistic collocation for period-1 limit cycle oscillations50 cited
  • 2012Non-intrusive generalized polynomial chaos for the robust stability analysis of uncertain nonlinear dynamic friction systems45 cited
  • 2011A polynomial chaos approach to the robust analysis of the dynamic behaviour of friction systems45 cited
  • 2019Random dynamical system in time domain: A POD-PC model43 cited
  • 2013Transient Response of Structural Dynamic Systems with Parametric Uncertainty38 cited
  • 2013A hybrid spectral and metamodeling approach for the stochastic finite element analysis of structural dynamic systems35 cited
  • 2010Analysis of a Nonlinear Aeroelastic System with Parametric Uncertainties Using Polynomial Chaos Expansion35 cited
  • 2009Effect of randomness on multi-frequency aeroelastic responses resolved by Unsteady Adaptive Stochastic Finite Elements34 cited
  • 2009A TVD Uncertainty Quantification Method with Bounded Error Applied to Transonic Airfoil Flutter29 cited
  • 2008An alternative unsteady adaptive stochastic finite elements formulation based on interpolation at constant phase27 cited