@inbook{d12ab2e9374b4a048a53ee55edba55e0,
title = "Robust design of initial boundary value problems",
abstract = "We study hyperbolic and incompletely parabolic systems with stochastic boundary and initial data. Estimates of the variance of the solution are presented both analytically and numerically. It is shown that one can reduce the variance for a given input, with a specific choice of boundary condition. The technique is applied to the Maxwell, Euler, and Navier–Stokes equations. Numerical calculations corroborate the theoretical conclusions.",
keywords = "Hyperbolic systems, Incompletely parabolic systems, Initial boundary value problems, Robust design, Stochastic data, Uncertainty quantification, Variance reduction",
author = "Jan Nordstr{\"o}m and Markus Wahlsten",
note = "Publisher Copyright: {\textcopyright} 2019, Springer International Publishing AG, part of Springer Nature.",
year = "2019",
doi = "10.1007/978-3-319-77767-2_29",
language = "English",
series = "Notes on Numerical Fluid Mechanics and Multidisciplinary Design",
publisher = "Springer Verlag",
pages = "463--478",
booktitle = "Notes on Numerical Fluid Mechanics and Multidisciplinary Design",
address = "Germany",
}