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math.NA2020★ 2 cited
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…
math.NA2020
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…