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Propagation of input model uncertainties with different marginal distributions using a hybrid polynomial chaos expansion
7 references·1 citing·28 second hop
Propagation of input model uncertainties with different marginal distributions using a hybrid polynomial chaos expansion (2013)Propagation of input model uncertainties …Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)Uncertainty Quantification an…The stochastic finite element method: Past, present and future (2008)The stochastic finite element…High-Order Collocation Methods for Differential Equations with Random Inputs (2005)High-Order Collocation Method…Sensitivity and Uncertainty Analysis (2003)Sensitivity and Uncertainty A…SENSITIVITY and UNCERTAINTY ANALYSIS (2003)SENSITIVITY and UNCERTAINTY A…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Ingredients for a general purpose stochastic finite elements implementation (1999)Ingredients for a general pur…Modern Monte Carlo Variants for Uncertainty Quantification in Neutron Transport (2018)Modern Monte Carlo Variants f…Stochastic Finite Elements: A Spectral Approach (1991)Global sensitivity analysis using polynomial chaos expansions (2007)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)A 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)Large Sample Properties of Simulations Using Latin Hypercube Sampling (1987)A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014)Direct probability integral method for stochastic response analysis of static and dynamic structural systems (2019)Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)Statistics for Experimenters (1979)Response Surface Methodology (1996)Measurement Errors and Uncertainties: Theory and Practice (1999)Introduction to Sensitivity Analysis (2007)Multiple predictor smoothing methods for sensitivity analysis: Description of techniques (2007)Making sense of global sensitivity analyses (2013)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)Multilevel Monte Carlo Path Simulation (2008)Point-Collocation Nonintrusive Polynomial Chaos Method for Stochastic Computational Fluid Dynamics (2010)A comprehensive framework for verification, validation, and uncertainty quantification in scientific computing (2011)Simulation-based optimal Bayesian experimental design for nonlinear systems (2012)Uncertainty assessment approach for composite structures based on global sensitivity indices (2012)Uncertainties in QRA: Analysis of losses of containment from piping and implications on risk prevention and mitigation (2015)Benchmarking the PAWN distribution-based method against the variance-based method in global sensitivity analysis: Empirical results (2019)
this work references cited by second hop

References

  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
  • 2008The stochastic finite element method: Past, present and future999 cited
  • 2008Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics769 cited
  • 1999Ingredients for a general purpose stochastic finite elements implementation401 cited
  • 2003SENSITIVITY and UNCERTAINTY ANALYSIS260 cited
  • 2003Sensitivity and Uncertainty Analysis88 cited

Cited by

  • 2018Modern Monte Carlo Variants for Uncertainty Quantification in Neutron Transport7 cited

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