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A non-intrusive B-splines Bézier elements-based method for uncertainty propagation
16 references·1 citing·27 second hop
A non-intrusive B-splines Bézier elements-based method for uncertainty propagation (2018)A non-intrusive B-splines Bézier elements…Numerical Methods for Stochastic Computations: A Spectral Method Approach (2010)Numerical Methods for Stochas…Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Adaptive sparse polynomial ch…Comparison of Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Quantification (2009)Comparison of Non-Intrusive P…An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis (2009)An adaptive algorithm to buil…Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables (2007)Efficient Sampling for Non-In…Efficient Collocational Approach for Parametric Uncertainty Analysis (2007)Efficient Collocational Appro…An adaptive multi-element generalized polynomial chaos method for stochastic differential equations (2005)An adaptive multi-element gen…Uncertainty propagation using Wiener–Haar expansions (2004)Uncertainty propagation using…Multi-resolution analysis of Wiener-type uncertainty propagation schemes (2004)Multi-resolution analysis of …Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)Galerkin methods for linear a…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)A Comparison of Three Methods…Ingredients for a general purpose stochastic finite elements implementation (1999)Ingredients for a general pur…An efficient method for parametric uncertainty analysis of numerical geophysical models (1997)An efficient method for param…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)Comparison of Three Methods f…A novel univariate dimension‐reduction based interval finite element method for static response prediction of uncertain structures (2023)A novel univariate dimension‐…Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)Response Surfaces: Designs and Analyses (1997)Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures (2006)An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion (2012)Structural Reliability Methods (1996)Global sensitivity analysis using polynomial chaos expansions (2007)Reliability-based design optimization using kriging surrogates and subset simulation (2011)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients (2011)Stochastic finite element methods for partial differential equations with random input data (2014)Chaospy: An open source tool for designing methods of uncertainty quantification (2015)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)A review of techniques for parameter sensitivity analysis of environmental models (1994)Importance measures in global sensitivity analysis of nonlinear models (1996)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Efficient computation of global sensitivity indices using sparse polynomial chaos expansions (2010)UQLab: A Framework for Uncertainty Quantification in Matlab (2014)POLYNOMIAL-CHAOS-BASED KRIGING (2015)Stochastic spectral methods for efficient Bayesian solution of inverse problems (2006)An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations (2009)A distribution-free approach to inducing rank correlation among input variables (1982)Factorial Sampling Plans for Preliminary Computational Experiments (1991)Uniform Design: Theory and Application (2000)
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References

  • 2000A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code8,233 cited
  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 1979Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code3,238 cited
  • 2010Adaptive sparse polynomial chaos expansion based on least angle regression1,507 cited
  • 2010Numerical Methods for Stochastic Computations: A Spectral Method Approach1,107 cited
  • 2009An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis834 cited
  • 2005An adaptive multi-element generalized polynomial chaos method for stochastic differential equations578 cited
  • 2004Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations556 cited
  • 2004Uncertainty propagation using Wiener–Haar expansions438 cited
  • 1999Ingredients for a general purpose stochastic finite elements implementation401 cited
  • 2009Comparison of Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Quantification348 cited
  • 2007Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables347 cited

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2004
Multi-resolution analysis of Wiener-type uncertainty propagation schemes
335 cited
  • 1997An efficient method for parametric uncertainty analysis of numerical geophysical models334 cited
  • 2007Efficient Collocational Approach for Parametric Uncertainty Analysis309 cited
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    • 2023A novel univariate dimension‐reduction based interval finite element method for static response prediction of uncertain structures11 cited