56 citations · 359 across the 75 of their papers we have counts for
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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…
Analysis and mean-field derivation of a porous-medium equation with fractional diffusion
Li Chen, Alexandra Holzinger, Ansgar Jüngel +1
A mean-field-type limit from stochastic moderately interacting many-particle systems with singular Riesz potential is performed, leading to nonlocal porous-medium equations in the…
Random-batch method for multi-species stochastic interacting particle systems
Esther S. Daus, Markus Fellner, Ansgar Jüngel
A random-batch method for multi-species interacting particle systems is proposed, extending the method of S. Jin, L. Li, and J.-G. Liu [J. Comput. Phys. 400 (2020), 108877]. The id…
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…