Numerical Algorithms for a Variational Problem of the Spatial Segregation of Reaction-Diffusion Systems
type: Dataset
description: In this paper, we study a numerical approximation for a class of stationary states for reaction-diffusion system with m densities having disjoint support, which are governed by a minimization problem. We use quantitative properties of both solutions and free boundaries to derive our scheme. Furthermore, the proof of convergence of the numerical method is given in some particular cases. We also apply our numerical simulations for the spatial segregation limit of diffusive Lotka-Volterra models in presence of high competition and inhomogeneous Dirichlet boundary conditions. We discuss numerical implementations of the resulting approach and present computational tests.
issued: 2026-05-05T16:37:40.201039
language: en
modified: 2026-05-05T16:37:40.201043
contact point: Organization
  fn: CCSD
keyword: infoeu-reposemanticspreprint
keyword: mathmath-apmathematics-mathanalysis-of-pdes-mathap
keyword: mathmath-namathematics-mathnumerical-analysis-mathna
keyword: preprints-working-papers-
landing page: https://ensta.hal.science/hal-00973793

Numerical Algorithms for a Variational Problem of the Spatial Segregation of Reaction-Diffusion Systems
type: Distribution
format: HTML
issued: 2026-05-05T16:37:40.202337
modified: 2026-05-05T16:37:40.195399
access URL: https://ensta.hal.science/hal-00973793

test_moissonnage_selune
type: Agent