Illustrating Stability Properties of Numerical Relativity in Electrodynamics

Details Illustrating Stability Properties of Numerical Relativity in Electrodynamics Illustrating Stability Properties of Numerical Relativity in Electrodynamics

2002-01-15

arxiv.org/abs/gr-qc/0201051v1

Phys.Rev. D65 (2002) 064031

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, 2 figures, to be published as Brief Report in Physical Review D

Scientific paper

10.1103/PhysRevD.65.064031

We show that a reformulation of the ADM 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.

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