A Convergent Structure-Preserving Finite-Volume Scheme for the Shigesada--Kawasaki--Teramoto Population System

DOI10.1137/20M1381058zbMath1476.65208arXiv2011.08731OpenAlexW3193397311MaRDI QIDQ5009348

Ansgar Jüngel, Antoine Zurek

Publication date: 20 August 2021

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.08731

zbMATH Keywords

population dynamicslarge-time asymptoticscross-diffusion systemfinite-volume methodconvergence of the schemediscrete entropy dissipation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (3)

A convergent finite volume scheme for dissipation driven models with volume filling constraint ⋮ Study of an entropy dissipating finite volume scheme for a nonlocal cross-diffusion system ⋮ Stationary solutions and large time asymptotics to a cross-diffusion-Cahn-Hilliard system

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