References

1
Gregory B. Cook.
Initial data for numerical relativity.
Article in online journal Living Reviews in Relativity, 2000.
http://www.livingreviews.org/Articles/Volume3/2000-5cook.

2
Jeffrey M. Bowen and James W. York, Jr.
Time-asymmetric initial data for black holes and black-hole collisions.
Phys. Rev. D, 21:2047, 1980.

3
Gregory B. Cook.
Three-dimensional initial data for the collision of two black holes II: Quasicircular orbits for equal mass black holes.
Phys. Rev. D, 50:5025, 1994.

4
James R. Wilson, G. J. Mathews, and P. Marronetti.
Relativistic numerical method for close neutron star binaries.
Phys. Rev. D, 54:1317, 1996.

5
James W. York, Jr.
Conformal ``thin sandwich'' data for the initial-value problem of general relativity.
Phys. Rev. Lett., 82(7):1350-1353, Feb 1999.

6
Thomas W. Baumgarte, Gregory B. Cook, Mark A. Scheel, Stuart L. Shapiro, and Saul A. Teukolsky.
General relativistic models of binary neutron stars in quasiequilibrium.
Phys. Rev. D, 57:7299, 1998.

7
Silvano Bonazzola, Eric Gourgoulhon, and Jean-Alain Marck.
Numerical models of irrotational binary neutron stars in general relativity.
Phys. Rev. Lett., 82:892, 1999.

8
Eric Gourgoulhon, Philippe Grandclement, and Silvano Bonazzola.
Binary black holes in circular orbits. i. a global spacetime approach.
gr-qc/0106015, June 2001.

9
Philippe Grandclément, Eric Gourgoulhon, and Silvano Bonazzola.
Binary black holes in circular orbits. ii. numerical methods and first results.
gr-qc/0106016, June 2001.

10
Gregory B. Cook.
Corotating and irrotational binary black holes in quasi-circular orbit.
preprint gr-qc/0108076, 2001.

11
P. Jaranowski and G. Schäfer.
Third post-newtonian higher order adm hamiltonian dynamics for two-body point-mass systems.
Phys. Rev. D, 57:7274, 1998.

12
Kashif Alvi.
An approximate binary-black-hole metric.
Phys. Rev. D, 61(124013), 2000.

13
Thomas W. Baumgarte, Gregory B. Cook, Mark A. Scheel, Stuart L. Shapiro, and Saul A. Teukolsky.
The stability of relativistic neutron stars in binary orbit.
Phys. Rev. D, 57:6181, 1998.

14
Gregory B. Cook, Matthew W. Choptuik, Mark R. Dubal, Scott Klasky, Richard A. Matzner, and Samuel R. Oliveira.
Three-dimensional initial data for the collision of two black holes.
Phys. Rev. D., 47(4):1471-1490, February 1993.

15
Steve Brandt and Bernd Brügmann.
A simple construction of initial data for multiple black holes.
Phys. Rev. Lett., 78(19):3606-3609, May 1997.

16
Philippe Grandclément, Silvano Bonazzola, Eric Gourgoulhon, and Jean-Alain Marck.
A multi-domain spectral method for scalar and vectorial Poisson equations with non-compact sources.
J. Comp. Phys., 170:231, 2001.

17
Harald P. Pfeiffer, Lawrence E. Kidder, Mark A. Scheel, and Saul A. Teukolsky.
A 3d multidomain spectral method for solving elliptic equations.
In preparation.

18
Douglas N. Arnold, Arup Mukherjee, and Luc Pouly.
Adaptive finite elements and colliding black holes.
In D. F. Griffiths, D. J. Higham, and G. A. Watson, editors, Numerical Analysis 1997: Proceedings of the 17th Dundee Biennial Conference, page 1, Essex, England, 1998. Addison Wesley Longman.

19
P. R. Brady, J. D. E. Creighton, and K. S. Thorne.
Computing the merger of black-hole binaries: The ibbh problem.
Phys. Rev. D, 58:061501, 1998.

20
M. Duez, T. W. Baumgarte, and S. L. Shapiro.
Computing the complete gravitational wavetrain from relativistic binary inspiral.
Phys. Rev. D, 63:084030, 2001.

21
M. Duez, T. W. Baumgarte, S. L. Shapiro, M. Shibata, and K. Uryu.
Comparing the inspiral of irrotational and corotational binary neutron stars, 2001.

22
H.-J. Yo, T. W. Baumgarte, and S. L. Shapiro.
Gravitational wavetrains in the quasi-equilibrium approximation: A model problem in scalar gravitation.
Phys. Rev. D, 63:064035, 2001.

23
M. Shibata and K. Uryu.
Computation of gravitational waves from inspiraling binary neutron stars in quasiequilibrium circular orbits: Formulation and calibration.
Phys. Rev. D, 2001.

24
P. Laguna.
A linear-nonlinear formulation of Einstein equations for the two-body problem in general relativity.
Phys. Rev. D, 60:084012, 1999.

25
J. T. Whelan and J. D. Romano.
Quasistationary binary inspiral. i. Einstein equations for the two killing vector spacetime.
Phys. Rev. D, 60:084009, 1999.

26
J. T. Whelan, W. Krivan, and R. H. Price.
Quasi-stationary binary inspiral ii: Radiation-balanced boundary conditions.
Class. Quant. Grav., 17:4895-4912, 2000.

27
R. Arnowitt, S. Deser, and Charles W. Misner.
The dynamics of general relativity.
In L. Witten, editor, Gravitation: An Introduction to Current Research, pages 227-265. Wiley, New York, 1962.

28
J. York.
Kinematics and dynamics of general relativity.
In L. Smarr, editor, Sources of Gravitational Radiation. Cambridge University Press, Cambridge, England, 1979.

29
C. Bona and J. Massó.
Hyperbolic evolution system for numerical relativity.
Phys. Rev. Lett., 68:1097, 1992.

30
C. Bona, J. Massó, E. Seidel, and J. Stela.
New formalism for numerical relativity.
Phys. Rev. Lett., 75:600-603, 1995.

31
Simonetta Frittelli and Oscar Reula.
On the newtonian limit of general relativity.
Commun. Math. Phys., 166:221-235, 1994.

32
Y. Choquet-Bruhat and J. York.
Geometrical well posed systems for the Einstein equations.
C. R. Acad. Sc. Paris, 321:1089, 1995.

33
H. Friedrich.
Hyperbolic reductions for Einstein's equations.
Class. Quantum Grav., 13:1451-1469, 1996.

34
Simonetta Frittelli and Oscar A. Reula.
First-order symmetric hyperbolic Einstein equations with arbitrary fixed gauge.
Phys. Rev. Lett., 76(25):4667-4670, June 1996.

35
Maurice H. P. M. van Putten and Douglas M. Eardley.
Hyperbolic reductions for Einstein's equations.
Phys. Rev. D, 53(6):3056, March 1996.

36
Frank B. Estabrook, R. Steve Robinson, and Hugo D. Wahlquist.
Hyperbolic equations for vacuum gravity using special orthonormal frames.
Class. Quantum Grav., 14:1237-1247, 1997.

37
Mirta S. Iriondo, Enzo O. Leguizamon, and Oscar A. Reula.
Einstein's equations in Ashtekar's variables constitute a symmetric hyperbolic system.
Phys. Rev. Lett., 79:4732-4735, 1997.

38
Arlen Anderson, Yvonne Choquet-Bruhat, and James W. York, Jr.
Einstein-Bianchi hyperbolic system for general relativity.
Topol. Meth. Nonlin. Anal., 10:353, 1997.

39
Oscar Reula.
Hyperbolic methods for Einstein's equations.
Living Reviews in Relativity, 1, 1998.

40
A. Anderson and J. W. York.
Fixing Einstein's equations.
Phy. Rev. Lett., 82:4384-4387, 1999.

41
M. Alcubierre, B. Brügmann, M. Miller, and W.-M. Suen.
A conformal hyperbolic formulation of the Einstein equations.
Phys. Rev. D, 60:064017, 1999.

42
Simonetta Frittelli and Oscar A. Reula.
Well-posed forms of the 3+1 conformally-decomposed Einstein equations.
J. Math. Phys., 40:5143-5156, 1999.

43
Luis Lehner.
Numerical relativity: A review.
Class. Quant. Grav., 18:R25-R86, 2001.

44
L. E. Kidder, M. A. Scheel, and S. A. Teukolsky.
Extending the lifetime of 3d black hole computations with a new hyperbolic system of evolution equations.
Phys. Rev. D, 64(6):064017, Sep 2001.

45
T. W. Baumgarte and S. L. Shapiro.
On the numerical integration of Einstein's field equations.
Physical Review D, 59:024007, 1999.

46
M. Alcubierre, B. Brügmann, T. Dramlitsch, J. A. Font, P. Papadopoulos, E. Seidel, N. Stergioulas, W.-M. Suen, and R. Takahashi.
Towards a stable numerical evolution of strongly gravitating systems: The conformal treatments.
Phys. Rev. D, 62:044034, 2000.

47
Mark A. Scheel, Thomas W. Baumgarte, Gregory B. Cook, Stuart L. Shapiro, and Saul A. Teukolsky.
Treating instabilities in a hyperbolic formulation of Einstein's equations.
Phys. Rev. D, 58:044020, 1998.

48
L. E. Kidder, M. A. Scheel, S. A. Teukolsky, Eric D. Carlson, and G. B. Cook.
Black hole evolution by spectral methods.
Phys. Rev. D, 62(8):084032, Oct 2000.

49
Y. Choquet-Bruhat and T. Ruggeri.
Hyperbolicity of the 3+1 system of Einstein equations.
Comm. Math. Phys, 89:269-275, 1983.

50
D. Bernstein.
A Numerical Study of the Black Hole Plus Brill Wave Spacetime.
PhD thesis, University of Illinois Urbana-Champaign, 1993.

51
J. Balakrishna, G. Daues, E. Seidel, W.-M. Suen, M. Tobias, and E. Wang.
Coordinate conditions in three-dimensional numerical relativity.
Class. Quantum Grav., 13:L135-L142, 1996.

52
A. Lichnerowicz.
L'intégration des équations de la gravitation relativiste et la problème des n corps.
J. Math Pures et Appl., 23:37, 1944.

53
L. Smarr and J. York.
Kinematical conditions in the construction of spacetime.
Phys. Rev. D, 17:2529-2551, 1978.

54
Douglas M. Eardley.
Black hole boundary conditions and coordinate conditions.
Phys. Rev. D, 57:2299-2304, 1998.

55
Andrew M. Abrahams et al.
Gravitational wave extraction and outer boundary conditions by perturbative matching.
Phys. Rev. Lett., 80:1812-1815, 1998.

56
Nigel T. Bishop, Roberto Gomez, Luis Lehner, Manoj Maharaj, and Jeffrey Winicour.
High-powered gravitational news.
Phys. Rev., D56:6298-6309, 1997.

57
Nigel T. Bishop et al.
Cauchy-characteristic matching, 1998.
gr-qc/9801070.

58
B. Szilagyi, R. Gomez, N. T. Bishop, and J. Winicour.
Cauchy boundaries in linearized gravitational theory.
Phys. Rev. D, 62, 2000.

59
J. Thornburg.
Coordinates and boundary conditions for the general relativistic initial data problem.
Class. Quan. Grav., 4:1119, 1987.

60
J. Thornburg.
Numerical Relativity in Black Hole Spacetimes.
PhD thesis, University of British Columbia, Vancouver, British Columbia, 1993.

61
Edward Seidel and Wai-Mo Suen.
Towards a singularity-proof scheme in numerical relativity.
Phys. Rev. Lett., 69(13):1845-1848, September 1992.

62
Peter Anninos, Greg Daues, Joan Masso, Edward Seidel, and Wai-Mo Suen.
Horizon boundary condition for black hole space-times.
Phys. Rev., D51:5562-5578, 1995.

63
M. Alcubierre and B. Brügmann.
Simple excision of a black hole in (3+1)d numerical relativity.
Phys. Rev. D, 63:104006, 2001.

64
Gregory B. Cook, Mijan F. Huq, Scott A. Klasky, Mark A. Scheel, et al.
Boosted three-dimensional black-hole evolutions with singularity excision.
Phys. Rev. Lett., 80(12):2512-2516, March 1998.

65
V. Moncrief.
Gravitational perturbations of sphericallysymmetric systems. i. the exterior problem.
Annals of Physics, 80, 1974.

66
S. Teukolsky.
Perturbations of a rotating black hole. fundamental equations for gravitational, electromagnetic, and neutrino-field perturbations.
Astrophys. J., 185, 1973.

67
John Baker, Manuela Campanelli, and Carlos O. Lousto.
The lazarus project: A pragmatic approach to binary black hole evolutions,
Phys. Rev. D65: 2002; gr-qc/0104063.

68
J. Baker, B. Brugmann, M. Campanelli, C. O. Lousto, and R. Takahashi.
Plunge waveforms from inspiralling binary black holes,
Phys. Rev. Lett. 87:121103, 2001.

69
Mark R. Dubal, Ray A. d'Inverno, and James A. Vickers.
Combining cauchy and characteristic codes. 5. cauchy characteristic matching for a spherical space-time containing a perfect fluid.
Phys. Rev., D58:044019, 1998.

70
K. Thorne.
Gravitational-wave bursts with memory: The christodoulou effect.
In A. Janis and J. Porter, editors, Recent Advances in General Relativity. Birkhäuser, Boston, 1992.

71
S. Rosswog, M. B. Davies, F.-K. Thielemann, and T. Piran.
Merging neutron stars: asymmetric systems.
A&A, 360:171, 2000.

72
M. Ruffert and H.-Th. Janka.
Gamma-ray bursts from accreting black holes in neutron star mergers.
Astron. Astroph., 344:573, 1999.

73
R. Popham, S. E. Woosley, and C. L. Fryer.
Hyperaccreting black holes and gamma-ray bursts.
Ap. J., 518:356, 1999.

74
H.-Th. Janka, T. Eberl, M. Ruffert, and C. L. Fryer.
Black hole-neutron star mergers as central engines of gamma-ray bursts.
Ap. J., 527:L39, 1999.

75
J. A. Faber and F. A. Rasio.
Post-newtonian sph calculations of binary neutron star coalescence. i. method and first results.
Phys. Rev. D, 62:062012, 2000.

76
M. Shibata and K. Uryu.
Simulation of merging binary neutron stars in full general relativity: $\gamma=2$ case.
Phys. Rev. D, 61:064001, 2000.

77
M. Shibata and K. Uryu.
Binary neutron star mergers in fully general relativistic simulations.
In J. C. Wheeler and H. Martel, editors, Proceedings of the 20th Texas Symposium on Relativistic Astrophysics. American Institute of Physics, 2001.

78
C. L. Fryer.
Self-shielded downflows in core-collapse supernovae: Prospects for laser experiments.
Ap. J. Supp., 127:317, 2000.

79
M. Liebendörfer, O. E. B. Messer, A. Mezzacappa, and W. R. Hix.
General relativistic simulations of stellar core collapse and postbounce evolution with boltzmann neutrino transport.
In J. C. Wheeler and H. Martel, editors, Proceedings of the 20th Texas Symposium on Relativistic Astrophysics. American Institute of Physics, 2000.

80
M. Rampp, E. Müller, and M. Ruffert.
Simulations of non-axisymmetric rotational core collapse.
A&A, 332:969, 1998.

81
J. M. Centrella, K. C. B. New, L. L. Lowe, and J. D. Brown.
Dynamical rotational instability at low t/w.
Ap. J., 550:L193, 2001.

82
T. W. Baumgarte, H.-T. Janka, W. Keil, S. L. Shapiro, and S. A. Teukolsky.
Delayed collapse of hot neutron stars to black holes via hadronic phase transitions.
Ap. J., 468:823, 1996.

83
F. Linke, J. A. Font, H.-Th. Janka, E. Müller, and Ph. Papapdopoulos.
Spherical collapse of supermassive stars: Neutrino emission and gamma-ray bursts.
A&A, 2001.

84
M. Shibata, T. W. Baumgarte, and S. L. Shapiro.
The bar-mode instability in differentially rotating neutron stars: Simulations in full general relativity.
Ap. J., 542:453, 2000.

85
N. Stergioulas and J. A. Font.
Nonlinear r-modes in rapidly rotating relativistic stars.
Phys. Rev. Letters, 86:1148, 2001.

86
L. Lindblom, J. E. Tohline, and M. Vallisneri.
Non-linear evolution of the $r$-modes in neutron stars.
Physical Review Letters, 86:1152-1155, 2001.

87
L. Lindblom, J. E. Tohline, and M. Vallisneri.
Numerical evolutions of nonlinear $r$-modes in neutron stars.
Phys. Rev. D, 2001.
submitted.

88
R. Falk and G. Richter.
Explicit finite element methods for symmetric hyperbolic equations.
SIAM J. Numer. Anal., 36(3):395-952, 1999.

89
B. Cockburn.
Devising discontinuous galerkin methods for nonlinear hyperbolic conservation laws.
J. Comput. Appl. Math., 128(1-2):187-204, 2001.

90
M. Holst.
Adaptive numerical treatment of elliptic systems on manifolds.
Advances in Computational Mathematics, Accepted; to appear.

91
M. Parashar, J. Browne, C. Edwards, and K. Klimkowski.
A common data management infrastructure for adaptive algorithms for pde solutions.
In Supercomputing 1997, 1997.

92
M. Parashar and J. C. Browne.
System Engineering for High Performance Computing Software: The HDDA/DAGH Infrastructure for Implementation of Parallel Structured Adaptive Mesh Refinement, volume 117 of IMA: Structured Adaptive Mesh Refinement (SAMR) Grid Methods, pages 1-18.
Springer-Verlag, January 2000.

93
J. Steensland, S. Chandra, and M. Parashar.
An application-centric characterization of domain-based partitioners for parallel adaptive mesh refinement.
IEEE Transactions on Parallel and Distributed Systems, 2001.
Under revision for publication.

94
R. Bramley, K. Chiu, S. Diwan, D. Gannon, M. Govindaraju, N. Mukji, B. Temko, and M. Yechuri.
A component based services architecture for building distributed applications, 2000.

95
S. Kaur, V. Mann, V. Matossian, R. Muralidhar, and M. Parashar.
Engineering a distributed computational collaboratory.
In Proceeding of the 34th Hawaii Conference on System Sciences, January 2001.

96
V. Mann, V. Matossian, R. Muralidhar, and M. Parashar.
Discover: An environment for web-based interaction and steering of high-performance scientific applications.
Concurrency and Computation: Practice and Experience, 13:737-754, 2001.



Directory