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Performance Evaluation of Generalized Polynomial Chaos
7 references·8 citing·31 second hop
Performance Evaluation of Generalized Polynomial Chaos (2003)Performance Evaluation of Generalized Pol…Generalized polynomial chaos and random oscillators (2004)Generalized polynomial chaos …Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Modeling uncertainty in flow …The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos (2002)Modeling uncertainty in stead…Stochastic Modeling of Flow-Structure Interactions Using Generalized Polynomial Chaos (2001)Stochastic Modeling of Flow-S…Ingredients for a general purpose stochastic finite elements implementation (1999)Ingredients for a general pur…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Dynamic characteristics and sensitivity analysis of a nonlinear vehicle suspension system with stochastic uncertainties (2024)Dynamic characteristics and s…Uncertainty quantification reveals the physical constraints on pumping by peristaltic hearts (2020)Uncertainty quantification re…A probabilistic approach for the linear behaviour of glued laminated timber (2017)A probabilistic approach for …Experimental Validation of Polynomial Chaos Theory on an Aircraft T-Tail (2016)Experimental Validation of Po…Uncertainty quantification analysis of the dynamics of an electrostatically actuated microelectromechanical switch model (2015)Uncertainty quantification an…On the convergence of the stochastic Galerkin method for random elliptic partial differential equations (2013)On the convergence of the sto…On the Capabilities of the Polynomial Chaos Expansion Method within SFE Analysis—An Overview (2011)On the Capabilities of the Po…A seamless approach towards stochastic modeling: Sparse grid collocation and data driven input models (2008)A seamless approach towards s…Global sensitivity analysis using polynomial chaos expansions (2007)Stochastic finite element approaches for wood-based products: theoretical framework and review of methods (2015)Unified polynomial expansion for interval and random response analysis of uncertain structure–acoustic system with arbitrary probability distribution (2018)Stochastic analysis of structures under limited observations using kernel density estimation and arbitrary polynomial chaos expansion (2022)Probabilistic Theory of Structural Dynamics (1976)Application of polynomial chaos in stability and control (2006)Assessment of spectral representation and Karhunen–Loève expansion methods for the simulation of Gaussian stochastic fields (2007)Review of Polynomial Chaos-Based Methods for Uncertainty Quantification in Modern Integrated Circuits (2018)Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)A Stochastic Projection Method for Fluid Flow (2001)Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables (2007)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Reliability of structures in high dimensions, part I: algorithms and applications (2004)A Chebyshev interval method for nonlinear dynamic systems under uncertainty (2012)A non-probabilistic reliability-based design optimization method via dimensional decomposition-aided Chebyshev metamodel (2025)A Review of Uncertainty Quantification Techniques for Frequency Responses of Mechanical Systems (2025)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)A new stochastic approach to transient heat conduction modeling with uncertainty (2003)Stochastic Approaches to Uncertainty Quantification in CFD Simulations (2005)Modeling Multibody Systems with Uncertainties. Part I: Theoretical and Computational Aspects (2006)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Adaptive stochastic Galerkin FEM for lognormal coefficients in hierarchical tensor representations (2020)Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)Stochastic spectral methods for efficient Bayesian solution of inverse problems (2006)An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)An adaptive multi-element generalized polynomial chaos method for stochastic differential equations (2005)Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)Fast Numerical Methods for Stochastic Computations: A Review (2009)
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
  • 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
  • 2002Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos552 cited
  • 1999Ingredients for a general purpose stochastic finite elements implementation401 cited
  • 2001Stochastic Modeling of Flow-Structure Interactions Using Generalized Polynomial Chaos273 cited
  • 2004Generalized polynomial chaos and random oscillators129 cited

Cited by

  • 2011On the Capabilities of the Polynomial Chaos Expansion Method within SFE Analysis—An Overview32 cited
  • 2024Dynamic characteristics and sensitivity analysis of a nonlinear vehicle suspension system with stochastic uncertainties25 cited
  • 2013On the convergence of the stochastic Galerkin method for random elliptic partial differential equations20 cited
  • 2008A seamless approach towards stochastic modeling: Sparse grid collocation and data driven input models20 cited
  • 2017A probabilistic approach for the linear behaviour of glued laminated timber18 cited
  • 2020Uncertainty quantification reveals the physical constraints on pumping by peristaltic hearts15 cited
  • 2015

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Uncertainty quantification analysis of the dynamics of an electrostatically actuated microelectromechanical switch model
12 cited
  • 2016Experimental Validation of Polynomial Chaos Theory on an Aircraft T-Tail11 cited