20 citations · 41 across the 3 of their papers we have counts for
4 papers
Kinetic and related macroscopic models for chemotaxis on networks
Raul Borsche, Axel Klar, Ha T. N. Pham
In this paper we consider kinetic and associated macroscopic models for chemotaxis on a network. Coupling conditions at the nodes of the network for the kinetic problem are present…
First-order quarter- and mixed-moment realizability theory and Kershaw closures for a Fokker-Planck equation in two space dimensions
Florian Schneider, Jochen Kall, Andreas Roth
Mixed-moment models, introduced before for one space dimension, are a modification of the method of moments applied to a (linear) kinetic equation, by choosing mixtures of differen…
High order numerical methods for networks of hyperbolic conservation laws coupled with ODEs and lumped parameter models
Raul Borsche, Jochen Kall
In this paper we construct high order finite volume schemes on networks of hyperbolic conservation laws with coupling conditions involving ODEs. We consider two generalized Riemann…
A realizability-preserving high-order kinetic scheme using WENO reconstruction for entropy-based moment closures of linear kinetic equations in slab geometry
Florian Schneider, Graham Alldredge, Jochen Kall
We develop a high-order kinetic scheme for entropy-based moment models of a one-dimensional linear kinetic equation in slab geometry. High-order spatial reconstructions are achieve…