2002/01/15 by Andrew Knapp, A. M. Knapp, E. J. Walker +2 · 4 citations
Engineering · Mathematics · Physics and Astronomy · #Applied mathematics #Classical mechanics #Computer science #Context (archaeology) #General relativity #Geophysics and Sensor Technology #Implementation #Mathematical analysis #Mathematics #Maxwell's equations #Noncommutative and Quantum Gravity Theories #Numerical analysis #Numerical relativity #Numerical stability #Physics #Pulsars and Gravitational Waves Research #Stability (learning theory) #Theoretical physics #Theory of relativity #astro-ph #gr-qc
paper · pdf · doi:10.1103/physrevd.65.064031
published as Phys.Rev. D65 (2002) 064031 · 5 pages, 2 figures, to be published as Brief Report in Physical Review D
arxiv created 2002/01/15 · openalex publication_date 2002/02/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 general relativity, illustrate them in a very transparent context, and may provide a useful framework for further improvement of numerical schemes.