2 citations · 2 across the 4 of their papers we have counts for
6 papers
Analysis of a finite-volume scheme for a single-species biofilm model
Christoph Helmer, Ansgar Jüngel, Antoine Zurek
An implicit Euler finite-volume scheme for a parabolic reaction-diffusion system modeling biofilm growth is analyzed and implemented. The system consists of a degenerate-singular d…
A discrete boundedness-by-entropy method for finite-volume approximations of cross-diffusion systems
Ansgar Jüngel, Antoine Zurek
An implicit Euler finite-volume scheme for general cross-diffusion systems with volume-filling constraints is proposed and analyzed. The diffusion matrix may be nonsymmetric and no…
Nonlocal cross-diffusion systems for multi-species populations and networks
Ansgar Jüngel, Stefan Portisch, Antoine Zurek
Nonlocal cross-diffusion systems on the torus, arising in population dynamics and neuroscience, are analyzed. The global existence of weak solutions, the weak-strong uniqueness, an…
A convergent structure-preserving finite-volume scheme for the Shigesada-Kawasaki-Teramoto population system
Antoine Zurek, Ansgar Jüngel
An implicit Euler finite-volume scheme for an -species population cross-diffusion system of Shigesada--Kawasaki--Teramoto-type in a bounded domain with no-flux boundary conditio…
Convergence of a finite-volume scheme for a degenerate-singular cross-diffusion system for biofilms
Esther S. Daus, Ansgar Jüngel, Antoine Zurek
An implicit Euler finite-volume scheme for a cross-diffusion system modeling biofilm growth is analyzed by exploiting its formal gradient-flow structure. The numerical scheme is ba…
A finite-volume scheme for a cross-diffusion model arising from interacting many-particle population systems
Ansgar Jüngel, Antoine Zurek
A finite-volume scheme for a cross-diffusion model arising from the mean-field limit of an interacting particle system for multiple population species is studied. The existence of…