@Article{CiCP-35-4,
author = {Philipp, Krah and Yin, Xi-Yuan and Julius, Bergmann and Nave, Jean-Christophe and Schneider, Kai},
title = {A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties},
journal = {Communications in Computational Physics},
year = {2024},
volume = {35},
number = {4},
pages = {905--937},
abstract = {<p style="text-align: justify;">We propose an efficient semi-Lagrangian characteristic mapping method for
solving the one+one-dimensional Vlasov-Poisson equations with high precision on a
coarse grid. The flow map is evolved numerically and exponential resolution in linear time is obtained. Global third-order convergence in space and time is shown and
conservation properties are assessed. For benchmarking, we consider linear and nonlinear Landau damping and the two-stream instability. We compare the results with a
Fourier pseudo-spectral method and results from the literature. The extreme fine-scale
resolution features are illustrated showing the method’s capabilities to efficiently treat
filamentation in fusion plasma simulations.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2024-0012},
url = {https://global-sci.com/article/90943/a-characteristic-mapping-method-for-vlasov-poisson-with-extreme-resolution-properties}
}