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Moving puncture simulations of black hole binaries rely on a specific gauge choice that leads to approximately stationary coordinates near each black hole.
Adaptive mesh refinement for hyperbolic partial differential equations
Marsha J. Berger and Joseph Oliger · 1984
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New Formalism for Numerical Relativity
C. Bona, J. Massó, E. Seidel, and J. Stela · 1995
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Evolution of three-dimensional gravitational waves: Harmonic slicing case
M. Shibata and T. Nakamura · 1995
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Coordinate conditions in three-dimensional numerical relativity
J. Balakrishna, G. Daues, E. Seidel, W.-M. Suen, M. Tobias, and E. Wang · 1996
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On the Numerical integration of Einstein’s field equations
T. W. Baumgarte and S. L. Shapiro · 1998
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Simple excision of a black hole in 3+1 numerical relativity
Miguel Alcubierre and Bernd Brügmann · 2001
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Black hole excision for dynamic black holes
Miguel Alcubierre, Bernd Brügmann, Denis Pollney, Edward Seidel, and Ryoji Takahashi · 2001
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Gauge conditions for long-term numerical black hole evolutions without excision
Miguel Alcubierre, Bernd Brügmann, Peter Diener, Michael Koppitz, Denis Pollney, Edward Seidel, and Ryoji Takahashi · 2003
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Testing excision techniques for dynamical 3D black hole evolutions
Miguel Alcubierre, Bernd Brügmann, Peter Diener, Frank Herrmann, Denis Pollney, Edward Seidel, and Ryoji Takahashi · 2004
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On the well posedness of the Baumgarte-Shapiro- Shibata-Nakamura formulation of Einstein’s field equations
Horst Beyer and Olivier Sarbach · 2004
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A single-domain spectral method for black hole puncture data
Marcus Ansorg, Bernd Brügmann, and Wolfgang Tichy · 2004
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Numerical simulation of orbiting black holes
Bernd Brügmann, Wolfgang Tichy, and Nina Jansen · 2004
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Accurate black hole evolutions by fourth-order numerical relativity
Y. Zlochower, J. G. Baker, M. Campanelli, and C. O. Lousto · 2005
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Accurate evolutions of orbiting black-hole binaries without excision
Manuela Campanelli, Carlos O. Lousto, Pedro Marronetti, and Yosef Zlochower · 2006
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Gravitational wave extraction from an inspiraling configuration of merging black holes
Geometry and regularity of moving punctures
Mark Hannam, Sascha Husa, Denis Pollney, Bernd Brügmann, and Niall Ó Murchadha · 2007
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Calibration of moving puncture simulations
Bernd Brügmann, José A. González, Mark Hannam, Sascha Husa, Ulrich Sperhake, and Wolfgang Tichy · 2008
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Reducing phase error in long numerical binary black hole evolutions with sixth order finite differencing
Sascha Husa, José A. González, Mark Hannam, Bernd Brügmann, and Ulrich Sperhake · 2008
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Accurate effective-one-body waveforms of inspiralling and coalescing black-hole binaries
Thibault Damour, Alessandro Nagar, Mark Hannam, Sascha Husa, and Bernd Brügmann · 2008
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Black-hole binary simulations: the mass ratio 10:1
José A. González, Ulrich Sperhake, and Bernd Brügmann · 2009
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Schwarzschild black hole as moving puncture in isotropic coordinates
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John G. Baker, Joan Centrella, Dae-Il Choi, Michael Koppitz, and James van Meter · 2006
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Unequal-mass binary black hole inspirals
Frank Herrmann, Deirdre Shoemaker, and Pablo Laguna · 2006
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Well-posedness of formulations of the Einstein equations with dynamical lapse and shift conditions
Carsten Gundlach and Jose M. Martin-Garcia · 2006
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How to move a black hole without excision: gauge conditions for the numerical evolution of a moving puncture
James R. van Meter, John G. Baker, Michael Koppitz, and Dae-Il Choi · 2006
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Bernd Brügmann · 2009
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Numerical black hole initial data with low eccentricity based on post-Newtonian orbital parameters
Benny Walther, Bernd Brügmann, and Doreen Müller · 2009
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Dynamical damping for unequal mass black hole binary simulations
Doreen Müller, Jason Grigsby, and Bernd Brügmann · 2009
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