Abstract
In the framework of a Particle-In-Cell scheme for some 1D Vlasov-Poisson system depending on a small parameter, we propose a time-stepping method which is numerically uniformly accurate when the parameter goes to zero. Based on an exponential time differencing approach, the scheme is able to use large time steps with respect to the typical size of the fast oscillations of the solution.
| Original language | English |
|---|---|
| Pages (from-to) | 169-183 |
| Number of pages | 15 |
| Journal | Discrete and Continuous Dynamical Systems - Series S |
| Volume | 8 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Feb 2015 |
| Externally published | Yes |
Keywords
- Exponential time differencing
- Highly oscillatory ODEs
- Particle-in-Cell method
- Vlasov-Poisson system
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