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We present a high-order scheme for solving the full non-linear Einstein equations on characteristic null hypersurfaces using the framework established by Bondi and Sachs.
Gravitational waves in general relativity VII. Waves from axi-symmetric isolated systems
H. Bondi, M. G. J. van der Burg, and A. W. K. Metzner · 1962
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Gravitational waves in general relativity
R. K. Sachs · 1962
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Asymptotic properties of fields and spacetimes
R. Penrose · 1963
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Spin- s s spherical harmonics and ð \eth
J. N. Goldberg, A. J. MacFarlane, Ezra T. Newman, F. Rohrlich, and E. C. G. Sudarshan · 1967
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James R. Driscoll and Dennis M. Healy, Jr · 1994
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Robert Bartnik · 1997
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The eth formalism in numerical relativity
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Einstein equations in the null quasi-spherical gauge III: numerical algorithms
Robert A. Bartnik and Andrew H. Norton · 1999
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Cauchy boundaries in linearized gravitational theory
B. Szilágyi, Roberto Gomez, N. T. Bishop, and Jeffrey Winicour · 2000
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Numerical recipes in C++ : the art of scientific computing
W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery · 2002
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Optimized high-order derivative and dissipation operators satisfying summation by parts, and applications in three-dimensional multi-block evolutions
Peter Diener, Ernst Nils Dorband, Erik Schnetter, and Manuel Tiglio · 2007
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Unambiguous determination of gravitational waveforms from binary black hole mergers
C. Reisswig, N. T. Bishop, D. Pollney, and B. Szilagyi · 2009
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High accuracy binary black hole simulations with an extended wave zone
Denis Pollney, Christian Reisswig, Erik Schnetter, Nils Dorband, and Peter Diener · 2009
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The Asymptotic Falloff of Local Waveform Measurements in Numerical Relativity
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Characteristic extraction in numerical relativity: binary black hole merger waveforms at null infinity
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Towards standard testbeds for numerical relativity
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http://www.cactuscode.org
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Binary Black Hole Mergers and Novel Approaches to Gravitational Wave Extraction in Numerical Relativity
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A Characteristic Extraction Tool for Gravitational Waveforms
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Binary Black Hole Waveform Extraction at Null Infinity
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Gravitational Wave Extraction in Simulations of Rotating Stellar Core Collapse
C. Reisswig, C.D. Ott, U. Sperhake, and E. Schnetter · 2011
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Dynamics and Gravitational Wave Signature of Collapsar Formation
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The Einstein Toolkit: a community computational infrastructure for relativistic astrophysics
F. Löffler, J. Faber, E. Bentivegna, T. Bode, P. Diener, R. Haas, I. Hinder, B. C. Mundim, C. D. Ott, E. Schnetter, G. Allen, M. Campanelli, and P. Laguna · 2012
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