41 citations · 72 across the 5 of their papers we have counts for
5 papers
Oscillation Mitigation of Hyperbolicity-Preserving Intrusive Uncertainty Quantification Methods for Systems of Conservation Laws
Jonas Kusch, Louisa Schlachter
In this article we study intrusive uncertainty quantification schemes for systems of conservation laws with uncertainty. Standard intrusive methods lead to oscillatory solutions wh…
Parameter identification in uncertain scalar conservation laws discretized with the discontinuous stochastic Galerkin Scheme
Louisa Schlachter, Claudia Totzeck
We study an identification problem which estimates the parameters of the underlying random distribution for uncertain scalar conservation laws. The hyperbolic equations are discret…
Weighted Essentially Non-Oscillatory stochastic Galerkin approximation for hyperbolic conservation laws
Louisa Schlachter, Florian Schneider, Oliver Kolb
In this paper we extensively study the stochastic Galerkin scheme for uncertain systems of conservation laws, which appears to produce oscillations already for a simple example of…
A hyperbolicity-preserving discontinuous stochastic Galerkin scheme for uncertain hyperbolic systems of equations
Jakob Dürrwächter, Thomas Kuhn, Fabian Meyer +2
Intrusive Uncertainty Quantification methods such as stochastic Galerkin are gaining popularity, whereas the classical stochastic Galerkin approach is not ensured to preserve hyper…
A hyperbolicity-preserving stochastic Galerkin approximation for uncertain hyperbolic systems of equations
Louisa Schlachter, Florian Schneider
Uncertainty Quantification through stochastic spectral methods is rising in popularity. We derive a modification of the classical stochastic Galerkin method, that ensures the hyper…