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Stochastic Computational Fluid Mechanics
6 references·5 citing·17 second hop
Stochastic Computational Fluid Mechanics (2007)Stochastic Computational Fluid MechanicsMulti-Element Generalized Polynomial Chaos for Arbitrary Probability Measures (2006)Multi-Element Generalized Pol…Long-term behavior of polynomial chaos in stochastic flow simulations (2006)Long-term behavior of polynom…High-Order Collocation Methods for Differential Equations with Random Inputs (2005)High-Order Collocation Method…An adaptive multi-element generalized polynomial chaos method for stochastic differential equations (2005)An adaptive multi-element gen…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Numerical prediction of the influence of uncertain inflow conditions in pipes by polynomial chaos (2015)Numerical prediction of the i…A MULTI-FIDELITY STOCHASTIC COLLOCATION METHOD FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM INPUT DATA (2014)A MULTI-FIDELITY STOCHASTIC C…Quantification of Computational Uncertainty for Molecular and Continuum Methods in Thermo-Fluid Sciences (2011)Quantification of Computation…Sensitivity analysis and stochastic simulations of non‐equilibrium plasma flow (2009)Sensitivity analysis and stoc…Efficient Stochastic Optimization using Chaos Collocation Method with modeFRONTIER (2008)Efficient Stochastic Optimiza…Global sensitivity analysis using polynomial chaos expansions (2007)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Quantifying Sampling Noise and Parametric Uncertainty in Atomistic-to-Continuum Simulations Using Surrogate Models (2015)Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations (2009)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion (2012)Factorial Sampling Plans for Preliminary Computational Experiments (1991)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)An Adaptive ANOVA-Based Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficient (2014)Large Sample Properties of Simulations Using Latin Hypercube Sampling (1987)A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Stochastic spectral methods for efficient Bayesian solution of inverse problems (2006)Modeling physical uncertainties in dynamic stall induced fluid–structure interaction of turbine blades using arbitrary polynomial chaos (2007)Time-dependent generalized polynomial chaos (2010)Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data (2012)
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
  • 2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
  • 2005An adaptive multi-element generalized polynomial chaos method for stochastic differential equations578 cited
  • 2006Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures498 cited
  • 2006Long-term behavior of polynomial chaos in stochastic flow simulations173 cited

Cited by

  • 2009Sensitivity analysis and stochastic simulations of non‐equilibrium plasma flow22 cited
  • 2015Numerical prediction of the influence of uncertain inflow conditions in pipes by polynomial chaos17 cited
  • 2011Quantification of Computational Uncertainty for Molecular and Continuum Methods in Thermo-Fluid Sciences8 cited
  • 2014A MULTI-FIDELITY STOCHASTIC COLLOCATION METHOD FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM INPUT DATA6 cited
  • 2008Efficient Stochastic Optimization using Chaos Collocation Method with modeFRONTIER6 cited

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