A Convergent Entropy-Dissipating BDF2 Finite-Volume Scheme for a Population Cross-Diffusion System
Author:
Affiliation:
1. Institute of Analysis and Scientific Computing , Technische Universität Wien , Wiedner Hauptstraße 8–10, 1040 Wien , Austria
Abstract
Funder
Austrian Science Fund
H2020 European Research Council
Publisher
Walter de Gruyter GmbH
Subject
Applied Mathematics,Computational Mathematics,Numerical Analysis
Link
https://www.degruyter.com/document/doi/10.1515/cmam-2023-0009/pdf
Reference30 articles.
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2. B. Andreianov, M. Bendahmane and R. Ruiz-Baier, Analysis of a finite volume method for a cross-diffusion model in population dynamics, Math. Models Methods Appl. Sci. 21 (2011), no. 2, 307–344.
3. R. Bailo, J. A. Carrillo and J. Hu, Fully discrete positivity-preserving and energy-dissipating schemes for aggregation-diffusion equations with a gradient-flow structure, Commun. Math. Sci. 18 (2020), no. 5, 1259–1303.
4. M. Bertsch, M. E. Gurtin, D. Hilhorst and L. A. Peletier, On interacting populations that disperse to avoid crowding: Preservation of segregation, J. Math. Biol. 23 (1985), no. 1, 1–13.
5. M. Bertsch, D. Hilhorst, H. Izuhara and M. Mimura, A nonlinear parabolic-hyperbolic system for contact inhibition of cell-growth, Differ. Equ. Appl. 4 (2012), no. 1, 137–157.
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