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Demonstrates improved accuracy in black hole simulations using sixth-order finite differencing algorithms.
We describe a modification of a fourth-order accurate 'moving-puncture' evolution code, where by replacing spatial fourth-order accurate differencing operators in the bulk of the grid by a specific choice of sixth-order accurate stencils we gain significant improvements in accuracy. We illustrate the performance of the modified algorithm with an equal-mass simulation covering nine orbits.
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Husa et al. (2008) studied this question.
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