Name
Title | ||
|---|---|---|
Asymptotically complexity diminishing schemes (ACDS) for kinetic equations in the diffusive scaling |
Abstract | ||
|---|---|---|
•The proposed method merges Monte Carlo approach and a finite volume method.•The statistical noise diminishes when the scaling parameter decreases.•The method is uniformly stable wrt the scaling parameter and the space mesh size.•No need of artificial transitions from the microscopic part to the macroscopic one.•Allows to run numerical tests on complex problems including full 3 dimensional ones. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.jcp.2019.05.032 | Journal of Computational Physics |
Keywords | Field | DocType |
Kinetic equations,Diffusion scaling,Asymptotic preserving schemes,Asymptotically complexity diminishing schemes,Micro-macro decomposition,Monte Carlo methods | Applied mathematics,Monte Carlo method,Mathematical analysis,Eulerian path,Time evolution,Solver,Numerical analysis,Scaling,Diffusion equation,Mathematics,Thermodynamic equilibrium | Journal |
Volume | ISSN | Citations |
394 | 0021-9991 | 0 |
PageRank | References | Authors |
0.34 | 0 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Anaïs Crestetto | 1 | 2 | 1.06 |
| Anaïs Crestetto | 2 | 2 | 1.06 |
| Nicolas Crouseilles | 3 | 174 | 22.71 |
| Giacomo Dimarco | 4 | 120 | 15.68 |
| Mohammed Lemou | 5 | 128 | 15.85 |