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arXiv · 2311.01583

A time splitting spectral method for the Klein-Gordon-Maxwell system

Peter Allmer
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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.

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Peter Allmer. 2023-12-17. A time splitting spectral method for the Klein-Gordon-Maxwell system. https://arxiv.org/abs/2311.01583

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