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The numerical relativity problem has several key features
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Our first example is based on work of University of Pittsburgh group involving R. Gomez and J.Winicour
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R. Gomez, R. Isaacson and J. Winicour, Journal Computational Physics, 98,11(1992)
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R. Gomez, J. Winicour, "Gravitational Wave Extraction - A Benchmark ?"
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This studies the wave-like features of Einstein's equations where key numerical problem is reliable extraction of Gravitational waves
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This is nontrivial as gravitational waves can only be extracted after one has evolved a "long way" from the black holes
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It is difficult numerically to reliable evolve oscillating solutions through long distances
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See examples of convection equations in Hirsch
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