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As a representative example we consider the viscous Burgers\u2019 equation and compare two typical intrusive and non-intrusive uncertainty quantification methods. The specific intrusive approach uses a combination of polynomial chaos and stochastic Galerkin projection. The specific non-intrusive method uses numerical integration by combining quadrature rules and the probability density functions of the prescribed uncertainties. The two methods are compared in terms of error in the estimated variance, computational efficiency and accuracy. This comparison, although not general, provide insight into uncertainty quantification of problems with a combination of sharp and smooth variations in stochastic space. It suggests that combining intrusive and non-intrusive methods could be advantageous.<\/jats:p>","DOI":"10.1007\/s10915-019-01053-7","type":"journal-article","created":{"date-parts":[[2019,9,22]],"date-time":"2019-09-22T23:23:21Z","timestamp":1569194601000},"page":"1111-1117","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["On Stochastic Investigation of Flow Problems Using the Viscous Burgers\u2019 Equation as an Example"],"prefix":"10.1007","volume":"81","author":[{"given":"Markus","family":"Wahlsten","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7972-6183","authenticated-orcid":false,"given":"Jan","family":"Nordstr\u00f6m","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,9,23]]},"reference":[{"issue":"235","key":"1053_CR1","doi-asserted-by":"publisher","first-page":"828","DOI":"10.1016\/j.jcp.2012.07.041","volume":"15","author":"R Abgrall","year":"2013","unstructured":"Abgrall, R., Congedo, P.M.: A semi-intrusive deterministic approach to uncertainty quantification in non-linear fluid flow problems. 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