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arxiv: 0706.0740 · v1 · submitted 2007-06-05 · 🌀 gr-qc

Reducing phase error in long numerical binary black hole evolutions with sixth order finite differencing

classification 🌀 gr-qc
keywords accuratedifferencingfourth-orderaccuracyalgorithmbinaryblackbulk
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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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