Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1090/S0025-5718-07-02054-6 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
coagulation-fragmentation equation,finite volume method | Convergence (routing),Order of accuracy,Courant–Friedrichs–Lewy condition,Computer simulation,Mathematical analysis,Rate of convergence,Numerical analysis,Finite volume method,Mathematics,Numerical stability | Journal |
Volume | Issue | ISSN |
77 | 262 | 0025-5718 |
Citations | PageRank | References |
8 | 1.18 | 6 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jean-Pierre Bourgade | 1 | 8 | 1.18 |
| Francis Filbet | 2 | 271 | 37.95 |