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Simplex Elements Stochastic Collocation in Higher-Dimensional Probability Spaces
16 references·3 citing·19 second hop
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References

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  • 2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
  • 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
  • 2008A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data942 cited
  • 2008Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics769 cited
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  • 2001Solution of stochastic partial differential equations using Galerkin finite element techniques414 cited
  • 2007Sparse grid collocation schemes for stochastic natural convection problems401 cited
  • 2004Multi-resolution analysis of Wiener-type uncertainty propagation schemes335 cited
  • 2006A Non-Intrusive Polynomial Chaos Method For Uncertainty Propagation in CFD Simulations

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335 cited
  • 2008The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications214 cited
  • 2009Multi-element probabilistic collocation method in high dimensions203 cited
  • Cited by

    • 2018Uncertainty quantification for complex systems with very high dimensional response using Grassmann manifold variations16 cited
    • 2013A one-time truncate and encode multiresolution stochastic framework14 cited
    • 2012Backward uncertainty propagation method in flow problems: Application to the prediction of rarefaction shock waves14 cited