Time-dependent generalized polynomial chaos
type: Item
instance of: scholarly article
title: Time-dependent generalized polynomial chaos
zbMATH Open document ID: 1201.65216
author: Jan-Bart van der Steen
author: M. I. Gerritsma
author: Peter E. J. Vos
author: George Em Karniadakis
published in: Journal of Computational Physics
publication date: 2010-11-05T00:00:00Z
Mathematics Subject Classification ID: 65P20
Mathematics Subject Classification ID: 65C05
Mathematics Subject Classification ID: 37H10
Mathematics Subject Classification ID: 65C30
Mathematics Subject Classification ID: 60H10
zbMATH DE Number: 5810894
zbMATH Keywords: polynomial chaos
zbMATH Keywords: Monte-Carlo simulation
zbMATH Keywords: stochastic differential equations
zbMATH Keywords: time dependence
zbMATH Keywords: numerical examples
zbMATH Keywords: convergence
zbMATH Keywords: Kraichnan-Orszag problem
MaRDI profile type: Publication
full work available at URL: j.jcp.2010.07.020
OpenAlex ID: W1989716069
cites work: Direct-Interaction Approximation for a System of Several Interacting Simple Shear Waves
cites work: Dynamical Properties of Truncated Wiener-Hermite Expansions
cites work: Q4232766
cites work: The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
cites work: Modeling uncertainty in flow simulations via generalized polynomial chaos.
cites work: Protein labeling reactions in electrochemical microchannel flow: Numerical simulation and uncertainty propagation
cites work: Using stochastic analysis to capture unstable equilibrium in natural convection
cites work: Uncertainty propagation in CFD using polynomial chaos decomposition
cites work: A stochastic projection method for fluid flow. II: Random process
cites work: Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics
cites work: Beyond Wiener-Askey expansions: handling arbitrary PDFs
cites work: Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure
cites work: Long-term behavior of polynomial chaos in stochastic flow simulations
cites work: Wiener chaos expansions and numerical solutions of randomly forced equations of fluid mechanics
cites work: An adaptive multi-element generalized polynomial chaos method for stochastic differential equations
cites work: An alternative unsteady adaptive stochastic finite element formulation based on interpolation at constant phase
cites work: Effect of randomness on multi-frequency aeroelastic responses resolved by unsteady adaptive stochastic finite elements
cites work: Q5268639
cites work: The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
cites work: Orthogonal functionals of the Poisson process
cites work: Q4023802
cites work: The Wiener-Hermite Expansion with Time-Dependent Ideal Random Function
cites work: The Wiener-Hermite expansion with time-dependent ideal random function. II: The three-mode model.
cites work: Time-Dependent Wiener-Hermite Expansion for the Nearly Gaussian Turbulence in the Burgers' System
cites work: Q4403557
cites work: Q3623632
cites work: The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications
DOI: 10.1016/J.JCP.2010.07.020
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description: scientific article; zbMATH DE number 5810894