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

Sascha Husa1, José A González1,2, Mark Hannam1, Bernd Brügmann1 and Ulrich Sperhake1

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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.


PACS

04.70.-s Physics of black holes

04.25.D- Numerical relativity

97.60.Lf Black holes

MSC

83C57 Black holes

83C35 Gravitational waves

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 10 (21 May 2008)

Received 28 May 2007, in final form 30 October 2007

Published 1 May 2008



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