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Multi‐Resolution‐Analysis Scheme for Uncertainty Quantification in Chemical Systems
9 references·16 citing·31 second hop
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this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2002A Stochastic Projection Method for Fluid Flow503 cited
  • 2004Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes451 cited
  • 2004Uncertainty propagation using Wiener–Haar expansions438 cited
  • 2004Multi-resolution analysis of Wiener-type uncertainty propagation schemes335 cited
  • 2003Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection333 cited
  • 1999The Nonlinear Gaussian Spectrum of Log-Normal Stochastic Processes and Variables130 cited
  • 2004Spectral stochastic uncertainty quantification in chemical systems107 cited

Cited by

  • 2013A stochastic Galerkin method for the Euler equations with Roe variable transformation72 cited
  • 2013Fundamental limitations of polynomial chaos for uncertainty quantification in systems with intermittent instabilities70 cited
  • 2012Global sensitivity analysis in an ocean general circulation model: a sparse spectral projection approach65 cited
  • 2017A Continuation Multi Level Monte Carlo (C-MLMC) method for uncertainty quantification in compressible inviscid aerodynamics51 cited
  • 2012Adaptive Anisotropic Spectral Stochastic Methods for Uncertain Scalar Conservation Laws

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41 cited
  • 2013Simplex stochastic collocation with ENO-type stencil selection for robust uncertainty quantification40 cited
  • 2012Uncertainty Quantification given Discontinuous Model Response and a Limited Number of Model Runs34 cited
  • 2011Multiscale Stochastic Preconditioners in Non-intrusive Spectral Projection31 cited
  • 2016Efficient Adaptive Stochastic Galerkin Methods for Parametric Operator Equations28 cited
  • 2017Surrogate Models for Uncertainty Propagation and Sensitivity Analysis28 cited
  • 2013Weak truncation error estimates for elliptic PDEs with lognormal coefficients22 cited
  • 2014PC analysis of stochastic differential equations driven by Wiener noise22 cited
  • 2010Calculation of premixed combustion within inert porous media with model parametric uncertainty quantification21 cited
  • 2013Preconditioned Bayesian Regression for Stochastic Chemical Kinetics18 cited
  • 2013Convergence Rates of Multilevel and Sparse Tensor Approximations for a Random Elliptic PDE17 cited
  • 2017Intrusive Polynomial Chaos Methods for Forward Uncertainty Propagation16 cited