Convergence of a finite volume scheme for a system of interacting species with cross-diffusion
Published 2020 View Full Article
- Home
- Publications
- Publication Search
- Publication Details
Title
Convergence of a finite volume scheme for a system of interacting species with cross-diffusion
Authors
Keywords
-
Journal
NUMERISCHE MATHEMATIK
Volume -, Issue -, Pages -
Publisher
Springer Science and Business Media LLC
Online
2020-05-27
DOI
10.1007/s00211-020-01121-3
References
Ask authors/readers for more resources
Related references
Note: Only part of the references are listed.- Adhesion and volume constraints via nonlocal interactions determine cell organisation and migration profiles
- (2018) José Antonio Carrillo et al. JOURNAL OF THEORETICAL BIOLOGY
- Nonlinear degenerate cross-diffusion systems with nonlocal interaction
- (2018) M. Di Francesco et al. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
- Sorting Phenomena in a Mathematical Model For Two Mutually Attracting/Repelling Species
- (2018) Martin Burger et al. SIAM JOURNAL ON MATHEMATICAL ANALYSIS
- On a cross-diffusion model for multiple species with nonlocal interaction and size exclusion
- (2017) Judith Berendsen et al. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
- A finite volume scheme for boundary-driven convection–diffusion equations with relative entropy structure
- (2017) Francis Filbet et al. NUMERISCHE MATHEMATIK
- Cross-Diffusion Systems with Excluded-Volume Effects and Asymptotic Gradient Flow Structures
- (2016) Maria Bruna et al. JOURNAL OF NONLINEAR SCIENCE
- A Nonlocal Model for Contact Attraction and Repulsion in Heterogeneous Cell Populations
- (2015) K. J. Painter et al. BULLETIN OF MATHEMATICAL BIOLOGY
- Modelling stripe formation in zebrafish: an agent-based approach
- (2015) Alexandria Volkening et al. Journal of the Royal Society Interface
- Continuous models for cell–cell adhesion
- (2015) Hideki Murakawa et al. JOURNAL OF THEORETICAL BIOLOGY
- A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure
- (2014) José A. Carrillo et al. Communications in Computational Physics
- Explicit flock solutions for Quasi-Morse potentials
- (2014) J. A. CARRILLO et al. EUROPEAN JOURNAL OF APPLIED MATHEMATICS
- On discrete functional inequalities for some finite volume schemes
- (2014) Marianne Bessemoulin-Chatard et al. IMA JOURNAL OF NUMERICAL ANALYSIS
- Mathematical modelling of cancer invasion: Implications of cell adhesion variability for tumour infiltrative growth patterns
- (2014) Pia Domschke et al. JOURNAL OF THEORETICAL BIOLOGY
- A Note on Aubin-Lions-Dubinskiĭ Lemmas
- (2013) Xiuqing Chen et al. ACTA APPLICANDAE MATHEMATICAE
- Measure solutions for non-local interaction PDEs with two species
- (2013) Marco Di Francesco et al. NONLINEARITY
- A new interaction potential for swarming models
- (2013) J.A. Carrillo et al. PHYSICA D-NONLINEAR PHENOMENA
- A Finite Volume Scheme for Nonlinear Degenerate Parabolic Equations
- (2012) Marianne Bessemoulin-Chatard et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- A free boundary problem arising in a simplified tumour growth model of contact inhibition
- (2010) Michiel Bertsch et al. INTERFACES AND FREE BOUNDARIES
- Mathematical modelling of cancer cell invasion of tissue: Local and non-local models and the effect of adhesion
- (2007) A. Gerisch et al. JOURNAL OF THEORETICAL BIOLOGY
Discover Peeref hubs
Discuss science. Find collaborators. Network.
Join a conversationBecome a Peeref-certified reviewer
The Peeref Institute provides free reviewer training that teaches the core competencies of the academic peer review process.
Get Started