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As with all physical simulations, realistic 3D computations require "Teraflop" (10^12 operations per second) performance
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Numerical Relativity just solves the "trivial" Einstein equations G?? = 8?T?? with indices running over 4 dimensions
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Apply to collision of two black holes which are expected to be a major source of gravitational waves for which US and Europe are building major detectors
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Unique features includes freedom to choose coordinate systems (Gauge freedom) in ways that changes nature of equations
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Black Hole has amazing boundary condition that no information can escape from it.
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Not so clear how to formulate this numerically and involves interplay between computer science and physics
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At infinity, one has "simple" (but numerically difficult) wave equation; near black hole one finds very non linear system
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