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Cauchy-characteristic matching (CCM) is a numerical-relativity technique that solves Einstein's equations on an effectively infinite computational domain, thereby eliminating systematic errors associated with artificial boundary conditions.
1905
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N. T. Bishop, Numerical relativity: combining the cauchy and characteristic initial value problems, Classical and Quantum Gravity 10
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C. J. S. Clarke, R. A. d’Inverno, and J. A. Vickers, Combining cauchy and characteristic codes. i. the vacuum cylindrically symmetric problem, Phys. Rev. D 52
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M. R. Dubal, R. A. d’Inverno, and C. J. S. Clarke, Combining cauchy and characteristic codes. ii. the interface problem for vacuum cylindrical symmetry, Phys. Rev. D 52
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R. A. d’Inverno and J. A. Vickers, Combining cauchy and characteristic codes. iii. the interface problem in axial symmetry, Phys. Rev. D 54
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N. T. Bishop, R. Gomez, L. Lehner, M. Maharaj, and J. Winicour, High powered gravitational news, Phys. Rev. D 56
1997
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N. T. Bishop, R. Gómez, P. R. Holvorcem, R. A. Matzner, P. Papadopoulos, and J. Winicour, Cauchy Characteristic Evolution and Waveforms, Journal of Computational Physics 136
1997
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R. A. d’Inverno and J. A. Vickers, Combining cauchy and characteristic codes. iv. the characteristic field equations in axial symmetry, Phys. Rev. D 56
1997
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H. Friedrich, Gravitational fields near space-like and null infinity, Journal of Geometry and Physics 24
1998
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N. T. Bishop, R. Gomez, L. Lehner, B. Szilagyi, J. Winicour, and R. A. Isaacson, Cauchy characteristic matching, in Black Holes, Gravitational Radiation and the Universe: Essays in Honor of C.V. Vishveshwara , edited by B. R. Iyer and B. Bhawal (1998) pp. 383–408, arXiv:gr-qc/9801070
1998
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M. R. Dubal, R. A. d’Inverno, and J. A. Vickers, Combining cauchy and characteristic codes. v. cauchy-characteristic matching for a spherical spacetime containing a perfect fluid, Phys. Rev. D 58
1998
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A. M. Abrahams et al. (Binary Black Hole Grand Challenge Alliance), Gravitational wave extraction and outer boundary conditions by perturbative matching, Phys. Rev. Lett. 80
1998
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M. E. Rupright, A. M. Abrahams, and L. Rezzolla, Cauchy perturbative matching and outer boundary conditions. 1. Methods and tests, Phys. Rev. D 58
1998
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1999
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J. W. York, Jr., Conformal ’thin sandwich’ data for the initial-value problem, Phys. Rev. Lett. 82
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B. Szilagyi, Cauchy characteristic matching in general relativity , Other thesis (2000), arXiv:gr-qc/0006091
2000
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R. A. d’Inverno, M. R. Dubal, and E. A. Sarkies, Cauchy characteristic matching for a family of cylindrical vacuum solutions possessing both gravitational degrees of freedom, Class. Quant. Grav. 17
2000
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R. Gomez, Gravitational wave forms with controlled accuracy, Phys. Rev. D 64
2001
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N. T. Bishop and S. S. Deshingkar, New approach to calculating the news, Phys. Rev. D 68
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H. P. Pfeiffer and J. W. York, Jr., Extrinsic curvature and the Einstein constraints, Phys. Rev. D67
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B. Szilagyi and J. Winicour, Well posed initial boundary evolution in general relativity, Phys. Rev. D 68
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E. W. Allen, E. Buckmiller, L. M. Burko, and R. H. Price, Radiation tails and boundary conditions for black hole evolutions, Phys. Rev. D 70
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L. E. Kidder, L. Lindblom, M. A. Scheel, L. T. Buchman, and H. P. Pfeiffer, Boundary conditions for the Einstein evolution system, Phys. Rev. D71
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L. Lindblom, M. A. Scheel, L. E. Kidder, R. Owen, and O. Rinne, A New generalized harmonic evolution system, Class. Quant. Grav. 23
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L. T. Buchman and O. C. A. Sarbach, Towards absorbing outer boundaries in general relativity, Class. Quant. Grav. 23
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O. Rinne, Stable radiation-controlling boundary conditions for the generalized harmonic Einstein equations, Class. Quant. Grav. 23
2006
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C. Reisswig, N. T. Bishop, C. W. Lai, J. Thornburg, and B. Szilagyi, Numerical relativity with characteristic evolution, using six angular patches, Class. Quant. Grav. 24
2007
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L. T. Buchman and O. C. A. Sarbach, Improved outer boundary conditions for Einstein’s field equations, Class. Quant. Grav. 24
2007
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