A time splitting spectral method for the Klein-Gordon-Maxwell system
Computational Physics
2023-12-19 v2
Abstract
We discuss a time-splitting spectral method for the solution of the Klein--Gordon--Maxwell system in quantum electrodynamics. The convergence in Hilbert space is proven theoretically and charge conservation is established. The theoretical order two for the Strang splitting is illustrated by numerical examples in 1D and 3D.
Cite
@article{arxiv.2311.01583,
title = {A time splitting spectral method for the Klein-Gordon-Maxwell system},
author = {Peter Allmer},
journal= {arXiv preprint arXiv:2311.01583},
year = {2023}
}
Comments
Due to the lack of permission and the inadequately highlighted contribution of the initial co-authors, I hereby withdraw the article. The author was responsible for the numerics