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A one-time truncate and encode multiresolution stochastic framework
16 references·1 citing·25 second hop
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
  • 2004Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure609 cited
  • 2010Spectral methods for uncertainty quantification : with applications to computational fluid dynamics572 cited
  • 2009An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations447 cited
  • 2004Uncertainty propagation using Wiener–Haar expansions438 cited
  • 2007Sparse grid collocation schemes for stochastic natural convection problems401 cited
  • 2010A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data400 cited
  • 2004Multi-resolution analysis of Wiener-type uncertainty propagation schemes335 cited
  • 2009Multi-element probabilistic collocation method in high dimensions203 cited
  • 2010Time-dependent generalized polynomial chaos173 cited
  • 2006Long-term behavior of polynomial chaos in stochastic flow simulations173 cited
  • 2011Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications160 cited
  • 2005Beyond Wiener–Askey Expansions: Handling Arbitrary PDFs153 cited

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  • 2009A domain adaptive stochastic collocation approach for analysis of MEMS under uncertainties88 cited
  • 2012A semi-intrusive deterministic approach to uncertainty quantification in non-linear fluid flow problems44 cited
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    • 2015A Novel Weakly-Intrusive Non-linear Multiresolution Framework for Uncertainty Quantification in Hyperbolic Partial Differential Equations12 cited