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Polynomial chaos representation of spatio-temporal random fields from experimental measurements
16 references·16 citing·33 second hopsampled
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this work references cited by second hop· second hop is a sample of the most-cited connections

References

  • 1999An Introduction to Copulas7,743 cited
  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2002Correlation and Dependence in Risk Management: Properties and Pitfalls1,992 cited
  • 2006An Introduction to Copulas (Springer Series in Statistics)882 cited
  • 2006Uncertainty Analysis with High Dimensional Dependence Modelling665 cited
  • 2004Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure609 cited
  • 2005An adaptive multi-element generalized polynomial chaos method for stochastic differential equations578 cited
  • 2001Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes466 cited
  • 1999Ingredients for a general purpose stochastic finite elements implementation401 cited
  • 2006Karhunen–Loève approximation of random fields by generalized fast multipole methods355 cited
  • 2002Risk Management: Value at Risk and Beyond338 cited
  • 2004Multi-resolution analysis of Wiener-type uncertainty propagation schemes335 cited
  • 2003Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection333 cited

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2001
Simulation of Highly Skewed Non-Gaussian Stochastic Processes
226 cited
  • 2006On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data191 cited
  • Cited by

    • 2011A computational inverse method for identification of non-Gaussian random fields using the Bayesian approach in very high dimension61 cited
    • 2012Identification of Polynomial Chaos Representations in High Dimension from a Set of Realizations50 cited
    • 2015A data driven polynomial chaos based approach for stochastic analysis of CFRP laminated composite plates41 cited
    • 2023An overview on uncertainty quantification and probabilistic learning on manifolds in multiscale mechanics of materials38 cited
    • 2013Karhunen–Loève expansion revisited for vector-valued random fields: Scaling, errors and optimal basis.37 cited
    • 2014Random field representations for stochastic elliptic boundary value problems and statistical inverse problems36 cited
    • 2019Imprecise random field analysis with parametrized kernel functions35 cited
    • 2023A spectral surrogate model for stochastic simulators computed from trajectory samples33 cited
    • 2022A new method for stochastic analysis of structures under limited observations33 cited
    • 2020Identify the stochastic dynamic load on a complex uncertain structural system32 cited
    • 2010Computational Aspects for Constructing Realizations of Polynomial Chaos in High Dimension32 cited
    • 2022A non-Gaussian stochastic model from limited observations using polynomial chaos and fractional moments31 cited
    • 2010Polynomial chaos expansions for optimal control of nonlinear random oscillators28 cited
    • 2018Statistical moment analysis of nonlinear rotor system with multi uncertain variables27 cited
    • 2015Approximate methods for stochastic eigenvalue problems27 cited
    • 2022A data-driven multi-scale constitutive model of concrete material based on polynomial chaos expansion and stochastic damage model26 cited