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Adaptive polynomial chaos expansions applied to statistics of extremes in nonlinear random vibration
6 references·16 citing·42 second hop
Adaptive polynomial chaos expansions applied to statistics of extremes in nonlinear random vibration (1998)Adaptive polynomial chaos expansions appl…Numerical solution of spectral stochastic finite element systems (1996)Numerical solution of spectra…Orthogonal Series Expansions of Random Fields in Reliability Analysis (1994)Orthogonal Series Expansions …A stochastic Galerkin expansion for nonlinear random vibration analysis (1993)A stochastic Galerkin expansi…Response of Systems with Uncertain Parameters to Stochastic Excitation (1992)Response of Systems with Unce…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Simulation of Stochastic Processes by Spectral Representation (1991)Simulation of Stochastic Proc…Adaptive weighted least-squares polynomial chaos expansion with basis adaptivity and sequential adaptive sampling (2019)Adaptive weighted least-squar…A polynomial chaos method for the analysis of the dynamic behavior of uncertain gear friction system (2016)A polynomial chaos method for…Sparse Pseudo Spectral Projection Methods with Directional Adaptation for Uncertainty Quantification (2015)Sparse Pseudo Spectral Projec…Metamodeling of dynamic nonlinear structural systems through polynomial chaos NARX models (2015)Metamodeling of dynamic nonli…Adaptive-sparse polynomial dimensional decomposition methods for high-dimensional stochastic computing (2014)Adaptive-sparse polynomial di…Grid and basis adaptive polynomial chaos techniques for sensitivity and uncertainty analysis (2013)Grid and basis adaptive polyn…Galerkin scheme based determination of first-passage probability of nonlinear system response (2013)Galerkin scheme based determi…Numerical schemes for dynamically orthogonal equations of stochastic fluid and ocean flows (2012)Numerical schemes for dynamic…Optimal Trajectory Generation With Probabilistic System Uncertainty Using Polynomial Chaos (2010)Optimal Trajectory Generation…Component mode synthesis and polynomial 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this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 1991Simulation of Stochastic Processes by Spectral Representation1,379 cited
  • 1996Numerical solution of spectral stochastic finite element systems294 cited
  • 1994Orthogonal Series Expansions of Random Fields in Reliability Analysis265 cited
  • 1992Response of Systems with Uncertain Parameters to Stochastic Excitation121 cited
  • 1993A stochastic Galerkin expansion for nonlinear random vibration analysis115 cited

Cited by

  • 2015Metamodeling of dynamic nonlinear structural systems through polynomial chaos NARX models96 cited
  • 2006Spectral and multiresolution Wiener expansions of oscillatory stochastic processes94 cited
  • 2009Polynomial Chaos-Based Analysis of Probabilistic Uncertainty in Hypersonic Flight Dynamics91 cited
  • 2004Adaptive Generalized Polynomial Chaos for Nonlinear Random Oscillators80 cited
  • 2012Numerical schemes for dynamically orthogonal equations of stochastic fluid and ocean flows71 cited
  • 2010Optimal Trajectory Generation With Probabilistic System Uncertainty Using Polynomial Chaos71 cited
  • 2003A Review of Recent Developments in the Numerical Solution of Stochastic Partial Differential Equations (Stochastic Finite Elements)70 cited
  • 2016A polynomial chaos method for the analysis of the dynamic behavior of uncertain gear friction system

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64 cited
  • 2010Component mode synthesis and polynomial chaos expansions for stochastic frequency functions of large linear FE models53 cited
  • 2013Grid and basis adaptive polynomial chaos techniques for sensitivity and uncertainty analysis52 cited
  • 2019Adaptive weighted least-squares polynomial chaos expansion with basis adaptivity and sequential adaptive sampling46 cited
  • 2005Airfoil Pitch-and-Plunge Bifurcation Behavior with Fourier Chaos Expansions46 cited
  • 2014Adaptive-sparse polynomial dimensional decomposition methods for high-dimensional stochastic computing45 cited
  • 2004Polynomial Chaos Expansion Applied to Airfoil Limit Cycle Oscillations37 cited
  • 2013Galerkin scheme based determination of first-passage probability of nonlinear system response35 cited
  • 2015Sparse Pseudo Spectral Projection Methods with Directional Adaptation for Uncertainty Quantification34 cited