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A simple, flexible and generic deterministic approach to uncertainty quantifications in non linear problems: application to fluid flow problems
0 references·7 citing·18 second hop
A simple, flexible and generic deterministic approach to uncertainty quantifications in non linear problems: application to fluid flow problems (2008)A simple, flexible and generic determinis…Uncertainty quantification methodology for hyperbolic systems with application to blood flow in arteries (2019)Uncertainty quantification me…A stochastically and spatially adaptive parallel scheme for uncertain and nonlinear two-phase flow problems (2015)A stochastically and spatiall…Variance reduction through robust design of boundary conditions for stochastic hyperbolic systems of equations (2014)Variance reduction through ro…Subcell resolution in simplex stochastic collocation for spatial discontinuities (2013)Subcell resolution in simplex…Uncertainty quantification in kinematic-wave models (2012)Uncertainty quantification in…Non intrusive iterative stochastic spectral representation with application to compressible gas dynamics (2012)Non intrusive iterative stoch…Treatment of uncertain material interfaces in compressible flows (2010)Treatment of uncertain materi…Stochastic Finite Elements: A Spectral Approach (1991)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure (2004)Intrusive uncertainty quantification for hyperbolic-elliptic systems governing two-phase flow in heterogeneous porous media (2017)Stochastic Programming (1995)Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)Dynamic Adaptive Sampling Based on Kriging Surrogate Models for Efficient Uncertainty Quantification (2013)Extreme value oriented random field discretization based on an hybrid polynomial chaos expansion — Kriging approach (2018)A gPC-intrusive Monte-Carlo scheme for the resolution of the uncertain linear Boltzmann equation (2019)Integration of non-Gaussian fields (1996)Galerkin Method for Wave Equations with Uncertain Coefficients (2008)Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems (2010)Probabilistic Density Function Method for Stochastic ODEs of Power Systems with Uncertain Power Input (2015)Method of Distributions for Uncertainty Quantification (2017)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)Girsanov's transformation based variance reduced Monte Carlo simulation schemes for reliability estimation in nonlinear stochastic dynamics (2017)
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Cited by

  • 2012Non intrusive iterative stochastic spectral representation with application to compressible gas dynamics30 cited
  • 2012Uncertainty quantification in kinematic-wave models24 cited
  • 2013Subcell resolution in simplex stochastic collocation for spatial discontinuities16 cited
  • 2014Variance reduction through robust design of boundary conditions for stochastic hyperbolic systems of equations15 cited
  • 2015A stochastically and spatially adaptive parallel scheme for uncertain and nonlinear two-phase flow problems15 cited
  • 2010Treatment of uncertain material interfaces in compressible flows14 cited
  • 2019Uncertainty quantification methodology for hyperbolic systems with application to blood flow in arteries12 cited

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