Illustrating stability properties of numerical relativity in electrodynamics

@article{Knapp2002IllustratingSP,
  title={Illustrating stability properties of numerical relativity in electrodynamics},
  author={A. M. Knapp and Eve J. Walker and Thomas W. Baumgarte},
  journal={Physical Review D},
  year={2002},
  volume={65},
  pages={064031}
}
We show that a reformulation of the Arnowitt-Deser-Misner equations in general relativity, which has dramatically improved the stability properties of numerical implementations, has a direct analogue in classical electrodynamics. We numerically integrate both the original and the revised versions of Maxwell's equations, and show that their distinct numerical behavior reflects the properties found in linearized general relativity. Our results shed further light on the stability properties of… 

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