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.
Cite
@article{arxiv.0706.0740,
title = {Reducing phase error in long numerical binary black hole evolutions with sixth order finite differencing},
author = {Sascha Husa and Jose A. Gonzalez and Mark Hannam and Bernd Bruegmann and Ulrich Sperhake},
journal= {arXiv preprint arXiv:0706.0740},
year = {2008}
}