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Motivated by the goal for high accuracy modeling of gravitational radiation emitted by isolated systems, recently, there has been renewed interest in the numerical solution of the hyperboloidal initial value problem for Einstein's field equations in which the outer boundary of the numerical grid is placed at null infinity.
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Gravitational waves in general relativity XIV. Bondi expansions and the polyhomogeneity of scri
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Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations. III. On the determination of radiation
Optimized high-order derivative and dissipation operators satisfying summation by parts, and applications in three-dimensional multi-block evolutions
P. Diener, E. N. Dorband, E. Schnetter, and M. Tiglio · 2007
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A. Zenginoğlu · 2008
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Black hole initial data on hyperboloidal slices
L. T. Buchman, H. P. Pfeiffer, and J. M. Bardeen · 2009
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Regularity of the Einstein equations at future null infinity
V. Moncrief and O. Rinne · 2009
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Scalar curvature deformation and a gluing construction for the Einstein constraint equations
J. Corvino · 2000
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M. Alcubierre, G. Allen, B. Bruegmann, E. Seidel, and W.-M. Suen · 2000
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From Now to Timelike Infinity on a Finite Grid
P. Hübner · 2001
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Extending the lifetime of 3-D black hole computations with a new hyperbolic system of evolution equations
L. E. Kidder, M. A. Scheel, and S. A. Teukolsky · 2001
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Problems and successes in the numerical approach to the conformal field equations
S. Husa · 2002
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Tetrad formalism for numerical relativity on conformally compactified constant mean curvature hypersurfaces
J. M. Bardeen, O. Sarbach, and L. T. Buchman · 2011
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N. Ortiz and O. Sarbach · 2011
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Continuum and discrete initial-boundary-value problems and Einstein’s field equations
O. Sarbach and M. Tiglio · 2012
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Characteristic evolution and matching
J. Winicour · 2012
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Bondi-Sachs energy-momentum for the constant mean curvature initial value problem
J. M. Bardeen and L. T. Buchman · 2012
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O. Rinne and V. Moncrief · 2013
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Axisymmetric constant mean curvature slices in the Kerr space-time
D. Schinkel, R. Panosso Macedo, and M. Ansorg · 2014
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Evolution of the Einstein equations to future null infinity
O. Rinne and V. Moncrief · 2014
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Gravitational waves: Classification, methods of detection, sensitivities and sources
K. Kuroda, W. T. Ni, and W. P. Pan · 2015
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Spherical symmetry as a test case for unconstrained hyperboloidal evolution
A. Vañó-Viñuales, S. Husa, and D. Hilditch · 2015
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Free evolution of the hyperboloidal initial value problem in spherical symmetry
A. Vañó-Viñuales · 2015
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Observation of gravitational waves from a binary black hole merger
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