41 citations · 176 across the 16 of their papers we have counts for
4 papers · 1 filter
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…
The second-order formulation of the equations with Marshak boundary conditions
Matthias Andres, Florian Schneider
We consider a reformulation of the classical method with Marshak boundary conditions for the approximation of the monoenergetic stationary linear transport equation as a syst…
First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: realizability-preserving splitting scheme and numerical analysis
Florian Schneider, Tobias Leibner
We derive a second-order realizability-preserving scheme for moment models for linear kinetic equations. We apply this scheme to the first-order continuous and discontinuous models…
First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: model derivation and realizability theory
Florian Schneider, Tobias Leibner
We provide two new classes of moment models for linear kinetic equations in slab and three-dimensional geometry. They are based on classical finite elements and low-order discontin…