@inproceedings{dd2732df8b184953a384e82287cb263e,
title = "Galerkin projection and numerical integration for a stochastic investigation of the viscous Burgers{\textquoteright} equation: An initial attempt",
abstract = "We consider a stochastic analysis of the non-linear viscous Burgers{\textquoteright} equation and focus on the comparison between intrusive and non-intrusive uncertainty quantification methods. The intrusive approach uses a combination of polynomial chaos and stochastic Galerkin projection. The non-intrusive method uses numerical integration by combining quadrature rules and the probability density functions of the prescribed uncertainties. The two methods are applied to a provably stable formulation of the viscous Burgers{\textquoteright} equation, and compared. As measures of comparison: variance size, computational efficiency and accuracy are used.",
author = "Markus Wahlsten and Jan Nordstr{\"o}m",
note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2019.; European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017 ; Conference date: 25-09-2017 Through 29-09-2017",
year = "2019",
doi = "10.1007/978-3-319-96415-7_95",
language = "English",
isbn = "9783319964140",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer Verlag",
pages = "1005--1013",
editor = "Radu, {Florin Adrian} and Kundan Kumar and Inga Berre and Nordbotten, {Jan Martin} and Pop, {Iuliu Sorin}",
booktitle = "Numerical Mathematics and Advanced Applications ENUMATH 2017",
address = "Germany",
}