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Multifidelity Uncertainty Quantification Using Spectral Stochastic Discrepancy Models
16 references·3 citing·33 second hop
Multifidelity Uncertainty Quantification Using Spectral Stochastic Discrepancy Models (2015)Multifidelity Uncertainty Quantification …Enhancing ℓ1 -minimization estimates of polynomial chaos expansions using basis selection (2015)Enhancing ℓ1 -minimization es…Dakota, a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis version 6.0 theory manual (2014)Dakota, a multilevel parallel…A Stochastic Collocation Algorithm with Multifidelity Models (2014)A Stochastic Collocation Algo…Multifidelity Uncertainty Quantification Using Non-Intrusive Polynomial Chaos and Stochastic Collocation (2012)Multifidelity Uncertainty Qua…Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients (2011)Multi-level Monte Carlo Finit…Bayesian uncertainty analysis with applications to turbulence modeling (2011)Bayesian uncertainty analysis…DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. 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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
  • 2008Multilevel Monte Carlo Path Simulation1,436 cited
  • 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
  • 2008Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions1,141 cited
  • 1986Structural Reliability under Incomplete Probability Information853 cited
  • 2010DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. Version 5.0, user's manual.775 cited
  • 2011Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients296 cited
  • 2011Bayesian uncertainty analysis with applications to turbulence modeling267 cited
  • 1997Two basic problems in reliability-based structural optimization218 cited
  • 2014Dakota, a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis version 6.0 theory manual188 cited
  • 2015Enhancing ℓ1 -minimization estimates of polynomial chaos expansions using basis selection174 cited

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2012
Multifidelity Uncertainty Quantification Using Non-Intrusive Polynomial Chaos and Stochastic Collocation
162 cited
  • 2006Modeling Arbitrary Uncertainties Using Gram-Schmidt Polynomial Chaos146 cited
  • 2014A Stochastic Collocation Algorithm with Multifidelity Models122 cited
  • Cited by

    • 2019Recent advancements in Multilevel-Multifidelity techniques for forward UQ in the DARPA Sequoia project14 cited
    • 2022A bi-fidelity stochastic collocation method for transport equations with diffusive scaling and multi-dimensional random inputs11 cited
    • 2017Global Sensitivity Analysis and Quantification of Model Error for Large Eddy Simulation in Scramjet Design10 cited