Multi-resolution analysis of Wiener-type uncertainty propagation schemes
type: Item
instance of: scholarly article
title: Multi-resolution analysis of Wiener-type uncertainty propagation schemes
zbMATH Open document ID: 1056.65006
published in: Journal of Computational Physics
publication date: 2004-08-06T00:00:00Z
Mathematics Subject Classification ID: 65C30
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 60H35
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 65C05
zbMATH DE Number: 2083104
zbMATH Keywords: Polynomial chaos
zbMATH Keywords: Multi-resolution analysis
zbMATH Keywords: Multi-wavelets
zbMATH Keywords: Uncertainty quantification
zbMATH Keywords: Adaptive scheme
zbMATH Keywords: Galerkin method
zbMATH Keywords: Monte Carlo method
zbMATH Keywords: numerical examples
zbMATH Keywords: Lorenz system
zbMATH Keywords: convergence
zbMATH Keywords: adaptive refinement
author: O. Le Maître
author: Habib N. Najm
author: R. G. Ghanem
author: Omar M. Knio
MaRDI profile type: Publication
full work available at URL: j.jcp.2003.12.020
OpenAlex ID: W2061604462
cites work: Q3661894
cites work: Adaptive solution of partial differential equations in multiwavelet bases
cites work: A Class of Bases in $L^2$ for the Sparse Representation of Integral Operators
cites work: Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations
cites work: The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
cites work: Hermite expansions in Monte-Carlo computation
cites work: Gaussian fields and random flow
cites work: Ten Lectures on Wavelets
cites work: Solution of stochastic partial differential equations using Galerkin finite element techniques
cites work: Protein labeling reactions in electrochemical microchannel flow: Numerical simulation and uncertainty propagation
cites work: Ingredients for a general purpose stochastic finite elements implementation
cites work: Probabilistic characterization of transport in heterogeneous media
cites work: Q4232766
cites work: Q2778405
cites work: Stochastic finite element modelling in linear transient heat transfer
cites work: A stochastic projection method for fluid flow. I: Basic formulation
cites work: Uncertainty propagation using Wiener-Haar expansions
cites work: A stochastic projection method for fluid flow. II: Random process
cites work: Monte Carlo strategies in scientific computing
cites work: A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code
cites work: Q5691073
cites work: Q3754586
cites work: Q2760584
cites work: Q4888818
cites work: The Homogeneous Chaos
cites work: Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos
cites work: The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
cites work: Modeling uncertainty in flow simulations via generalized polynomial chaos.
DOI: 10.1016/J.JCP.2003.12.020
description: scientific article; zbMATH DE number 2083104