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Current spectral simulations of Einstein's equations require writing the equations in first-order form, potentially introducing instabilities and inefficiencies.
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M.A. Scheel, A.L. Erickcek, L.M. Burko, L.E. Kidder, H.P. Pfeiffer, and S.A. Teukolsky, 3D simulations of linearized scalar fields in Kerr spacetime, Phys. Rev. D 69
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http://www.black-holes.org/SpEC.html
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2006
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M. Boyle, D.A. Brown, L.E. Kidder, A.H. Mroué, H.P. Pfeiffer, M.A. Scheel, G.B. Cook, and S.A. Teukolsky, High-accuracy comparison of numerical relativity simulations with post-Newtonian expansions, Phys. Rev. D 76
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N.W. Taylor, L.E. Kidder, S.A. Teukolsky, Spectral methods for Einstein’s equations in second-order form, in preparation (2010)
2010
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