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A stochastic particle-mesh scheme for uncertainty propagation in vortical flows
13 references·5 citing·23 second hop
A stochastic particle-mesh scheme for uncertainty propagation in vortical flows (2007)A stochastic particle-mesh scheme for unc…Uncertainty propagation in CFD using polynomial chaos decomposition (2006)Uncertainty propagation in CF…An adaptive multi-element generalized polynomial chaos method for stochastic differential equations (2005)An adaptive multi-element gen…Uncertainty propagation using Wiener–Haar expansions (2004)Uncertainty propagation using…Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes (2004)Numerical Challenges in the U…Natural Convection in a Closed Cavity under Stochastic Non-Boussinesq Conditions (2004)Natural Convection in a Close…Multi-resolution analysis of Wiener-type uncertainty propagation schemes (2004)Multi-resolution analysis of …Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection (2003)Uncertainty quantification in…Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Modeling uncertainty in flow …The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …A Stochastic Projection Method for Fluid Flow (2002)A Stochastic Projection Metho…A Stochastic Projection Method for Fluid Flow (2001)A Stochastic Projection Metho…Stochastic finite element modelling in linear transient heat transfer (1997)Stochastic finite element mod…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Spectral convergence of the generalized Polynomial Chaos reduced model obtained from the uncertain linear Boltzmann equation (2020)Spectral convergence of the g…Iterative Polynomial Approximation Adapting to Arbitrary Probability Distribution (2015)Iterative Polynomial Approxim…Treatment of uncertain material interfaces in compressible flows (2010)Treatment of uncertain materi…Nonparametric probabilistic approach of uncertainties for elliptic boundary value problem (2009)Nonparametric probabilistic a…A Newton method for the resolution of steady stochastic Navier–Stokes equations (2009)A Newton method for the resol…Ingredients for a general purpose stochastic finite elements implementation (1999)Combustion kinetic model uncertainty quantification, propagation and minimization (2014)Stochastic spectral methods for efficient Bayesian solution of inverse problems (2006)The Malliavin Calculus and Related Topics (2006)On the convergence of generalized polynomial chaos expansions (2011)Simulation-based optimal Bayesian experimental design for nonlinear systems (2012)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications (2008)Stochastic finite element methods for partial differential equations with random input data (2014)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)Point-Collocation Nonintrusive Polynomial Chaos Method for Stochastic Computational Fluid Dynamics (2010)The method of uncertainty quantification and minimization using polynomial chaos expansions (2011)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Efficient Collocational Approach for Parametric Uncertainty Analysis (2007)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)Fast Numerical Methods for Stochastic Computations: A Review (2009)Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures (2006)An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations (2009)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)
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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
  • 2005An adaptive multi-element generalized polynomial chaos method for stochastic differential equations578 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
  • 2001A Stochastic Projection Method for Fluid Flow338 cited
  • 2004Multi-resolution analysis of Wiener-type uncertainty propagation schemes335 cited
  • 2003Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection333 cited
  • 2006Uncertainty propagation in CFD using polynomial chaos decomposition254 cited
  • 1997Stochastic finite element modelling in linear transient heat transfer112 cited
  • 2004Natural Convection in a Closed Cavity under Stochastic Non-Boussinesq Conditions36 cited

Cited by

  • 2010Treatment of uncertain material interfaces in compressible flows14 cited

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  • 2020Spectral convergence of the generalized Polynomial Chaos reduced model obtained from the uncertain linear Boltzmann equation11 cited
  • 2009A Newton method for the resolution of steady stochastic Navier–Stokes equations11 cited
  • 2009Nonparametric probabilistic approach of uncertainties for elliptic boundary value problem10 cited
  • 2015Iterative Polynomial Approximation Adapting to Arbitrary Probability Distribution7 cited