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Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure
1 references·16 citing·29 second hop
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited

Cited by

  • 2009Fast Numerical Methods for Stochastic Computations: A Review608 cited
  • 2012Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion451 cited
  • 2011On the convergence of generalized polynomial chaos expansions414 cited
  • 2015POLYNOMIAL-CHAOS-BASED KRIGING398 cited
  • 2010Efficient computation of global sensitivity indices using sparse polynomial chaos expansions383 cited
  • 2009A Stochastic Collocation Approach to Bayesian Inference in Inverse Problems285 cited
  • 2008Sparse polynomial chaos expansions and adaptive stochastic finite elements using a regression approach270 cited
  • 2015A new surrogate modeling technique combining Kriging and polynomial chaos expansions – Application to uncertainty analysis in computational dosimetry248 cited
  • 2005A comprehensive overview of a non-parametric probabilistic approach of model uncertainties for predictive models in structural dynamics229 cited
  • 2014Stochastic finite element methods for partial differential equations with random input data218 cited
  • 2014Compressive sampling of polynomial chaos expansions: Convergence analysis and sampling strategies212 cited
  • 2007Stochastic model reduction for chaos representations191 cited
  • 2006

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On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data
191 cited
  • 2017Surrogate models for uncertainty quantification: An overview188 cited
  • 2006Modeling Multibody Systems with Uncertainties. Part I: Theoretical and Computational Aspects186 cited
  • 2005Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators183 cited