@inproceedings{12bebeaad5d946418993d41655f5a59c,
title = "Stochastic galerkin projection and numerical integration for stochastic systems of equations",
abstract = "An incompletely parabolic system in three space dimensions with stochastic boundary and initial data is studied. The intrusive approach where we combine polynomial chaos with stochastic Galerkin projection is compared to the non-intrusive approach, where quadrature rules in combination with probability density functions of the prescribed uncertainties are used. The two methods are compared when calculating statistics for the compressible Navier-Stokes equations. As a measure of comparison, variance size, computational efficiency and accuracy are used.",
keywords = "Intrusive methods, Navier-stokes equations, Non-intrusive methods, Polynomial chaos, Stochastic data, Stochastic galerkin, Uncertainty quantification",
author = "Markus Wahlsten and Jan Nordstr{\"o}m",
note = "Publisher Copyright: {\textcopyright} 2017 The Authors. Published by Eccomas Proceedia.; 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering, UNCECOMP 2017 ; Conference date: 15-06-2017 Through 17-06-2017",
year = "2017",
doi = "10.7712/120217.5381.16683",
language = "English",
series = "UNCECOMP 2017 - Proceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering",
publisher = "National Technical University of Athens",
pages = "426--440",
editor = "George Stefanou and M. Papadrakakis and Vissarion Papadopoulos",
booktitle = "UNCECOMP 2017 - Proceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering",
address = "United States",
}