test_moissonnage_selune
type: Agent

Convergence of a finite volume scheme for coagulation-fragmentation equations
type: Distribution
access URL: https://hal.science/hal-00090606
format: HTML
issued: 2026-05-08T04:50:11.990339
modified: 2026-05-08T04:50:11.971950

Convergence of a finite volume scheme for coagulation-fragmentation equations
type: Dataset
contact point: Organization
  fn: CCSD
keyword: mathmath-namathematics-mathnumerical-analysis-mathna
keyword: coagulation-fragmentation-equation
keyword: journal-articles
keyword: 65r20-82c05
keyword: finite-volume-method
keyword: infoeu-reposemanticsarticle
landing page: 0025-5718
description: This paper is devoted to the analysis of a numerical scheme for the coagulation and fragmentation equation. A time explicit finite volume scheme is developed, based on a conservative formulation of the equation. It is shown to converge under a stability condition on the time step, while a first order rate of convergence is established and an explicit error estimate is given. Finally, several numerical simulations are performed to investigate the gelation phenomenon and the long time behavior of the solution.
issued: 2026-05-08T04:50:11.980705
language: en
modified: 2026-05-08T04:50:11.980710