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math.NA2020
Stable Boundary Conditions and Discretization for PN Equations
Jonas Bünger, Neeraj Sarna, Manuel Torrilhon
A solution to the linear Boltzmann equation satisfies an energy bound, which reflects a natural fact: The energy of particles in a finite volume is bounded in time by the energy of…
math.NA2017★ 1 cited
Third-order Limiting for Hyperbolic Conservation Laws applied to Adaptive Mesh Refinement and Non-Uniform 2D Grids
Birte Schmidtmann, Pawel Buchmüller, Manuel Torrilhon
In this paper we extend the recently developed third-order limiter function [J. Sci. Comput., (2016), 68(2), pp.~624--652] to make it applicable for more elab…