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An adaptive multi-element generalized polynomial chaos method for stochastic differential equations
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited

Cited by

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  • 2011A non-adapted sparse approximation of PDEs with stochastic inputs436 cited
  • 2007Sparse grid collocation schemes for stochastic natural convection problems401 cited
  • 2015POLYNOMIAL-CHAOS-BASED KRIGING398 cited
  • 2008The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications214 cited
  • 2009Multi-element probabilistic collocation method in high dimensions203 cited
  • 2007Stochastic model reduction for chaos representations191 cited
  • 2010Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems183 cited
  • 2009Recent Developments in Spectral Stochastic Methods for the Numerical Solution of Stochastic Partial Differential Equations

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181 cited
  • 2010Time-dependent generalized polynomial chaos173 cited
  • 2006Long-term behavior of polynomial chaos in stochastic flow simulations173 cited
  • 2020Surrogate-assisted global sensitivity analysis: an overview165 cited
  • 2011Stochastic modeling of uncertainties in computational structural dynamics—Recent theoretical advances161 cited
  • 2017Least squares polynomial chaos expansion: A review of sampling strategies157 cited