Andrew Knapp
Illustrating Stability Properties of Numerical Relativity in
Electrodynamics
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.
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