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Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection
5 references·16 citing·39 second hop
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this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 1979A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code3,766 cited
  • 2002A Stochastic Projection Method for Fluid Flow503 cited
  • 1998Stochastic Response Surface Methods (SRSMs) for Uncertainty Propagation: Application to Environmental and Biological Systems387 cited
  • 2001A Stochastic Projection Method for Fluid Flow338 cited

Cited by

  • 2012Simulation-based optimal Bayesian experimental design for nonlinear systems451 cited
  • 2010Point-Collocation Nonintrusive Polynomial Chaos Method for Stochastic Computational Fluid Dynamics244 cited
  • 2011The method of uncertainty quantification and minimization using polynomial chaos expansions230 cited
  • 2014Stochastic finite element methods for partial differential equations with random input data218 cited
  • 2009Recent Developments in Spectral Stochastic Methods for the Numerical Solution of Stochastic Partial Differential Equations181 cited
  • 2007Probabilistic Collocation: An Efficient Non-Intrusive Approach for Arbitrarily Distributed Parametric Uncertainties168 cited
  • 2009Uncertainty quantification in chemical systems139 cited
  • 2015On the Statistical Calibration of Physical Models138 cited
  • 2010

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Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems
127 cited
  • 2016A robust and efficient stepwise regression method for building sparse polynomial chaos expansions114 cited
  • 2014GRADIENT-BASED STOCHASTIC OPTIMIZATION METHODS IN BAYESIAN EXPERIMENTAL DESIGN113 cited
  • 2004Spectral stochastic uncertainty quantification in chemical systems107 cited
  • 2005Quantifying uncertainty in chemical systems modeling104 cited
  • 2006Local and global uncertainty analysis of complex chemical kinetic systems101 cited
  • 2007Strategy for selecting representative points via tangent spheres in the probability density evolution method95 cited
  • 2007Multi‐Resolution‐Analysis Scheme for Uncertainty Quantification in Chemical Systems87 cited