%
% reference list for article lrr-2008-7 created at 2014-07-29T20:57:58
%
% note: the URLs in this bibtex database may contain characters which will be
% interpreted incorrectly by tex, unless used as argument of a \url command (or
% an equivalent).
@online{cactusweb,
cited = {13 September 2002},
format = {project homepage},
keywords = {Einstein equations, Numerical relativity, Relativistic hydrodynamics, Numerical methods},
publisher = {Max Planck Institute for Gravitational Physics},
title = {The Cactus Code},
url = {http://www.cactuscode.org/}
}
@online{tnsweb,
author = {Rezzolla, L.},
cited = {15 October 2002},
format = {personal homepage},
keywords = {Accretion disks, Relativistic hydrodynamics, Black holes},
publisher = {SISSA / ISAS},
title = {Relativistic Astrophysics movies at SISSA},
url = {http://people.sissa.it/~rezzolla/movies.html},
year = {2002}
}
@online{MPAweb,
cited = {13 September 2007},
format = {project homepage},
keywords = {Relativistic hydrodynamics, Gravitational collapse},
publisher = {Max Planck Institute for Astrophysics},
title = {Stellar Hydrodynamics},
url = {http://www.mpa-garching.mpg.de/hydro/index.shtml}
}
@online{lorene,
author = {Gourgoulhon, E. and Grandcl{\'{e}}ment, P. and Marck, J.-A. and Novak, J.},
cited = {13 September 2002},
format = {project homepage},
keywords = {Einstein equations, Numerical relativity, Relativistic hydrodynamics, Numerical methods},
publisher = {L'Observatoire de Paris},
title = {LORENE: Langage Objet pour la RElativit\'{e} Num\'{e}riquE},
url = {http://www.lorene.obspm.fr}
}
@online{shibataweb,
author = {Shibata, M.},
cited = {13 September 2002},
format = {personal homepage},
keywords = {Einstein equations, Numerical relativity, Relativistic hydrodynamics, Numerical methods},
publisher = {University of Tokyo},
title = {Homepage of Masaru Shibata: Animations},
url = {http://esa.c.u-tokyo.ac.jp/~shibata/anim.html}
}
@online{whisky,
cited = {2 December 2007},
format = {project homepage},
keywords = {Einstein equations, Numerical relativity, Relativistic hydrodynamics, Numerical methods},
publisher = {Max Planck Institute for Gravitational Physics},
title = {Whisky - the EU Network GR Hydrodynamics code},
url = {http://www.whiskycode.org/}
}
@online{headon,
cited = {18 February 2008},
format = {project homepage},
keywords = {Einstein equations, Numerical relativity, Relativistic hydrodynamics, Numerical methods},
publisher = {Max Planck Institute for Gravitational Physics},
title = {Movie: /NCSA1999/NeutronStars/Headon},
url = {http://jean-luc.aei.mpg.de/Movies/NCSA1999/NeutronStars/Headon/}
}
@article{abramowicz78,
author = {Abramowicz, M. A. and Jaroszy{\'{n}}ski, M. and Sikora, M.},
journal = {Astron. Astrophys.},
keywords = {Accretion disks, Black holes, Relativistic hydrodynamics},
pages = {221--224},
title = {Relativistic, accreting disks},
volume = {63},
year = {1978}
}
@article{abramowicz83,
adsurl = {http://adsabs.harvard.edu/abs/1983Natur.302..597A},
author = {Abramowicz, M. A. and Calvani, M. and Nobili, L.},
doi = {10.1038/302597a0},
journal = {Nature},
keywords = {Accretion disks, Black holes, Relativistic hydrodynamics},
pages = {597--599},
title = {Runaway instability in accretion disks orbiting black holes},
volume = {302},
year = {1983}
}
@article{abramowicz88,
adsurl = {http://adsabs.harvard.edu/abs/1988ApJ...332..646A},
author = {Abramowicz, M. A. and Czerny, B. and Lasota, J.-P. and Szuszkiewicz, E.},
doi = {10.1086/166683},
journal = {Astrophys. J.},
keywords = {Accretion disks, Astrophysics, Black holes},
pages = {646--658},
title = {Slim accretion disks},
volume = {332},
year = {1988}
}
@article{agertz07,
author = {Agertz, O. and Moore, B. and Stadel, J. and Potter, D. and Miniati, F. and Read, J. and Mayer, L. and Gawryszczak, A. and Kravtsov, A. and Nordlund, {\AA}. and Pearce, F. and Quilis, V. and Rudd, D. and Springel, V. and Stone, J. and Tasker, E. and Teyssier, R. and Wadsley, J. and Walder, R.},
cited = {28 December 2007},
doi = {10.1111/j.1365-2966.2007.12183.x},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Hydrodynamics, Numerical methods, Finite volume methods, Finite difference methods, Smoothed particle hydrodynamics},
onlineversion = {http://arXiv.org/abs/astro-ph/0610051},
pages = {963--978},
title = {Fundamental differences between SPH and grid methods},
volume = {380},
year = {2007}
}
@article{alcubierre00b,
author = {Alcubierre, M. and Br{\"{u}}gmann, B. and Holz, D. E. and Takahashi, R. and Brandt, S. and Seidel, E. and Thornburg, J.},
cited = {5 July 2002},
doi = {10.1142/S0218271801000834},
journal = {Int. J. Mod. Phys. D},
keywords = {Numerical methods, Numerical relativity},
onlineversion = {http://arXiv.org/abs/gr-qc/9908012},
pages = {273--289},
title = {Symmetry without symmetry: Numerical simulation of axisymmetric systems using Cartesian grids},
volume = {10},
year = {2001}
}
@inproceedings{alcubierre04,
address = {London, U.K.},
author = {Alcubierre, M.},
booktitle = {General Relativity and Gravitation},
cited = {30 September 2007},
editor = {Florides, P. and Nolan, B. and Ottewill, A.},
keywords = {Einstein equations, Numerical relativity, Initial value problem},
note = {Proceedings of the 17th International Conference held at RDS Convention Centre, Dublin, Ireland, July 18\,--\,23, 2004},
onlineversion = {http://arXiv.org/abs/gr-qc/0412019},
pages = {3},
publisher = {World Scientific},
title = {The status of numerical relativity},
year = {2005}
}
@article{aloy99,
author = {Aloy, M. A. and Ib{\'{a}}{\~{n}}ez, J. M. and Mart{\'{\i}}, J. M. and M{\"{u}}ller, E.},
cited = {1 April 1999},
doi = {10.1086/313214},
journal = {Astrophys. J. Suppl. Ser.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Relativistic hydrodynamics},
onlineversion = {http://arXiv.org/abs/astro-ph/9903352},
pages = {151--166},
title = {GENESIS: A high-resolution code for three-dimensional relativistic hydrodynamics},
volume = {122},
year = {1999}
}
@article{aloy99b,
author = {Aloy, M. A. and Pons, J. A. and Ib{\'{a}}{\~{n}}ez, J. M.},
cited = {1 December 2007},
doi = {10.1016/S0010-4655(99)00236-2},
journal = {Comput. Phys. Commun.},
keywords = {Computational fluid dynamics, Relativistic hydrodynamics, Finite difference methods, Finite volume methods, Hyperbolic equations},
onlineversion = {http://arXiv.org/abs/astro-ph/9904195},
pages = {115--121},
title = {An efficient implementation of flux formulae in multidimensional relativistic hydrodynamical codes},
volume = {120},
year = {1999}
}
@article{aloy00a,
author = {Aloy, M. A. and M{\"{u}}ller, E. and Ib{\'{a}}{\~{n}}ez, J. M. and Mart{\'{\i}}, J. M. and MacFadyen, A. I.},
cited = {15 July 2002},
doi = {10.1086/312537},
journal = {Astrophys. J. Lett.},
keywords = {Extragalactic jets, Gamma-ray bursts, Numerical relativistic hydrodynamics},
onlineversion = {http://arXiv.org/abs/astro-ph/9911098},
pages = {L119--L122},
title = {Relativistic Jets from Collapsars},
volume = {531},
year = {2000}
}
@article{aloy05,
author = {Aloy, M. A. and Janka, H.-T. and M{\"{u}}ller, E.},
cited = {15 September 2007},
doi = {10.1051/0004-6361:20041865},
journal = {Astron. Astrophys.},
keywords = {Numerical relativistic hydrodynamics, Gamma-ray bursts, Extragalactic jets, Accretion disks},
onlineversion = {http://arXiv.org/abs/astro-ph/0408291},
pages = {273--311},
title = {Relativistic outflows from remnants of compact object mergers and their viability for short gamma-ray bursts},
volume = {436},
year = {2005}
}
@article{aloy06,
author = {Aloy, M. A. and Rezzolla, L.},
cited = {15 September 2007},
doi = {10.1086/503608},
journal = {Astrophys. J. Lett.},
keywords = {Numerical relativistic hydrodynamics, Gamma-ray bursts, Extragalactic jets},
onlineversion = {http://arXiv.org/abs/astro-ph/0602437},
pages = {L115--L118},
title = {A Powerful Hydrodynamic Booster for Relativistic Jets},
volume = {640},
year = {2006}
}
@article{anderson06,
adsurl = {http://adsabs.harvard.edu/abs/2006CQGra..23.6503A},
author = {Anderson, M. and Hirschmann, E. W. and Liebling, S. L. and Neilsen, D.},
cited = {31 August 2007},
doi = {10.1088/0264-9381/23/22/025},
eprint = {gr-qc/0605102},
journal = {Class. Quantum Grav.},
keywords = {Numerical relativistic magnetohydrodynamics, Numerical relativity, Numerical methods},
onlineversion = {http://arXiv.org/abs/gr-qc/0605102},
pages = {6503--6524},
title = {Relativistic MHD with adaptive mesh refinement},
volume = {23},
year = {2006}
}
@article{anderson08,
adsurl = {http://adsabs.harvard.edu/abs/2008PhRvD..77b4006A},
archiveprefix = {arXiv},
author = {Anderson, M. and Hirschmann, E. W. and Lehner, L. and Liebling, S. L. and Motl, P. M. and Neilsen, D. and Palenzuela, C. and Tohline, J. E.},
cited = {1 December 2007},
doi = {10.1103/PhysRevD.77.024006},
eid = {024006},
eprint = {0708.2720},
journal = {Phys. Rev. D},
keywords = {Numerical relativistic hydrodynamics, Numerical relativity, Neutron stars, Binary systems},
onlineversion = {http://arXiv.org/abs/0708.2720},
primaryclass = {gr-qc},
title = {Simulating binary neutron stars: Dynamics and gravitational waves},
volume = {77},
year = {2008}
}
@article{anderson08b,
adsurl = {http://adsabs.harvard.edu/abs/2008PhRvL.100s1101A},
archiveprefix = {arXiv},
author = {Anderson, M. and Hirschmann, E. W. and Lehner, L. and Liebling, S. L. and Motl, P. M. and Neilsen, D. and Palenzuela, C. and Tohline, J. E.},
cited = {5 February 2008},
doi = {10.1103/PhysRevLett.100.191101},
eid = {191101},
eprint = {0801.4387},
journal = {Phys. Rev. Lett.},
keywords = {Neutron stars, Binary systems, Numerical relativity, Numerical relativistic magnetohydrodynamics, Gravitational radiation},
primaryclass = {gr-qc},
title = {Magnetized Neutron-Star Mergers and Gravitational-Wave Signals},
volume = {100},
year = {2008}
}
@article{anile87,
author = {Anile, A. M. and Pennisi, S.},
journal = {Ann. Inst. Henri Poincare},
keywords = {Numerical relativistic magnetohydrodynamics, Hyperbolic equations},
pages = {27--44},
title = {On the mathematical structure of test relativistic magnetofluiddynamics},
volume = {46},
year = {1987}
}
@book{anile89,
address = {Cambridge; New York},
author = {Anile, A. M.},
gbs_id = {eYjzneq1GHIC},
keywords = {Hyperbolic equations, Relativistic astrophysics, Relativistic hydrodynamics, Relativistic magnetohydrodynamics},
publisher = {Cambridge University Press},
series = {Cambridge Monographs on Mathematical Physics},
title = {Relativistic fluids and magneto-fluids: With applications in astrophysics and plasma physics},
year = {1989}
}
@article{anninos97,
author = {Anninos, P.},
cited = {5 July 2002},
eid = {lrr-2001-2},
journal = {Living Rev. Relativity},
keywords = {Big bang, Cosmic microwave background, Cosmological spacetimes, Cosmology, Inflation, Large scale structure, Newtonian cosmology, Physical cosmology, Relativistic hydrodynamics, Singularities},
title = {Computational Cosmology: From the Early Universe to the Large Scale Structure},
url = {http://www.livingreviews.org/lrr-2001-2},
volume = {4},
year = {2001}
}
@article{anninos98,
author = {Anninos, P.},
eid = {064010},
journal = {Phys. Rev. D},
keywords = {ADM formalism, Cosmological spacetimes, Cosmology, Einstein equations, Numerical methods, Relativistic hydrodynamics},
pages = {1--12},
title = {Plane-symmetric cosmology with relativistic hydrodynamics},
volume = {58},
year = {1998}
}
@article{anninos02,
adsurl = {http://adsabs.harvard.edu/abs/2003ApJS..144..243A},
author = {Anninos, P. and Fragile, P. C.},
cited = {18 June 2002},
doi = {10.1086/344723},
eprint = {astro-ph/0206265},
journal = {Astrophys. J. Suppl. Ser.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Numerical methods, Numerical relativistic hydrodynamics},
onlineversion = {http://arXiv.org/abs/astro-ph/0206265},
pages = {243--257},
title = {Nonoscillatory Central Difference and Artificial Viscosity Schemes for Relativistic Hydrodynamics},
volume = {144},
year = {2003}
}
@article{anninos05,
adsurl = {http://adsabs.harvard.edu/abs/2005ApJ...635..723A},
author = {Anninos, P. and Fragile, P. C. and Salmonson, J. D.},
cited = {5 July 2007},
doi = {10.1086/497294},
eprint = {astro-ph/0509254},
journal = {Astrophys. J.},
keywords = {Numerical methods, Numerical relativistic magnetohydrodynamics, Computational fluid dynamics, Finite difference methods, Finite volume methods},
onlineversion = {http://arXiv.org/abs/astro-ph/0509254},
pages = {723--740},
title = {Cosmos++: Relativistic Magnetohydrodynamics on Unstructured Grids with Local Adaptive Refinement},
volume = {635},
year = {2005}
}
@article{ansorg02,
adsurl = {http://adsabs.harvard.edu/abs/2002A&A...381L..49A},
author = {Ansorg, M. and Kleinw{\"{a}}chter, A. and Meinel, R.},
cited = {5 September 2007},
doi = {10.1051/0004-6361:20011643},
journal = {Astron. Astrophys.},
keywords = {Numerical methods, Relativistic stars, Neutron stars, Spectral methods},
onlineversion = {http://arXiv.org/abs/astro-ph/0111080},
pages = {L49--L52},
title = {Highly accurate calculation of rotating neutron stars},
volume = {381},
year = {2002}
}
@article{ansorg05,
author = {Ansorg, M. and Petroff, D.},
cited = {5 September 2007},
doi = {10.1103/PhysRevD.72.024019},
eid = {024019},
eprint = {gr-qc/0505060},
journal = {Phys. Rev. D},
keywords = {Numerical methods, Black holes, Spectral methods},
numpages = {12},
onlineversion = {http://arXiv.org/abs/gr-qc/0505060},
title = {Black holes surrounded by uniformly rotating rings},
volume = {72},
year = {2005}
}
@article{anton06,
adsurl = {http://adsabs.harvard.edu/abs/2006ApJ...637..296A},
author = {Ant{\'{o}}n, L. and Zanotti, O. and Miralles, J. A. and Mart{\'{\i}}, J. M. and Ib{\'{a}}{\~{n}}ez, J. M. and Font, J. A. and Pons, J. A.},
cited = {5 July 2007},
doi = {10.1086/498238},
eprint = {astro-ph/0506063},
journal = {Astrophys. J.},
keywords = {Numerical methods, Numerical relativistic magnetohydrodynamics, Computational fluid dynamics, Finite difference methods, Finite volume methods},
onlineversion = {http://arXiv.org/abs/astro-ph/0506063},
pages = {296--312},
title = {Numerical 3+1 General Relativistic Magnetohydrodynamics: A Local Characteristic Approach},
volume = {637},
year = {2006}
}
@phdthesis{anton07,
address = {Valencia, Spain},
author = {Ant{\'{o}}n, L.},
format = {phd},
keywords = {Numerical relativistic magnetohydrodynamics, Hyperbolic equations, Finite difference methods, Numerical methods},
school = {Universidad de Valencia},
title = {Magnetohidrodin\'amica Relativista Num\'erica: Aplicaciones en Relatividad Especial y General},
year = {2008}
}
@article{arras02a,
adsurl = {http://adsabs.harvard.edu/abs/2003ApJ...591.1129A},
author = {Arras, P. and Flanagan, {\'{E}}.{\'{E}}. and Morsink, S. M. and Schenk, A. K. and Teukolsky, S. A. and Wasserman, I.},
cited = {5 July 2002},
doi = {10.1086/374657},
eprint = {arXiv:astro-ph/0202345},
journal = {Astrophys. J.},
keywords = {Neutron stars, Relativistic stars},
onlineversion = {http://arXiv.org/abs/astro-ph/0202345},
pages = {1129--1151},
title = {Saturation of the $r$-mode instability},
volume = {591},
year = {2002}
}
@incollection{arnowitt62,
address = {New York; London},
adsurl = {http://adsabs.harvard.edu/abs/2008GReGr..40.1997A},
archiveprefix = {arXiv},
author = {Arnowitt, R. and Deser, S. and Misner, C. W.},
booktitle = {Gravitation: An Introduction to Current Research},
doi = {10.1007/s10714-008-0661-1},
editor = {Witten, L.},
eprint = {gr-qc/0405109},
keywords = {ADM formalism, Einstein equations, Initial value problem, Numerical methods, Numerical relativity},
pages = {227--265},
primaryclass = {gr-qc},
publisher = {Wiley},
title = {The dynamics of general relativity},
year = {1962}
}
@article{baiotti05,
adsurl = {http://adsabs.harvard.edu/abs/2005PhRvD..71b4035B},
author = {Baiotti, L. and Hawke, I. and Montero, P. J. and L{\"{o}}ffler, F. and Rezzolla, L. and Stergioulas, N. and Font, J. A. and Seidel, E.},
cited = {1 September 2007},
doi = {10.1103/PhysRevD.71.024035},
eid = {024035},
eprint = {gr-qc/0403029},
journal = {Phys. Rev. D},
keywords = {Relativistic hydrodynamics, Numerical relativity, Finite difference methods, Finite volume methods, Numerical methods, Numerical relativistic hydrodynamics, Neutron stars, Black holes, Gravitational collapse},
onlineversion = {http://arXiv.org/abs/gr-qc/0403029},
title = {Three-dimensional relativistic simulations of rotating neutron-star collapse to a Kerr black hole},
volume = {71},
year = {2005}
}
@article{baiotti05b,
author = {Baiotti, L. and Hawke, I. and Rezzolla, L. and Schnetter, E.},
cited = {1 September 2007},
doi = {10.1103/PhysRevLett.94.131101},
eid = {131101},
journal = {Phys. Rev. Lett.},
keywords = {Numerical relativity, Numerical relativistic hydrodynamics, Neutron stars, Black holes, Gravitational radiation, Gravitational collapse},
onlineversion = {http://arXiv.org/abs/gr-qc/0503016},
title = {Gravitational-Wave Emission from Rotating Gravitational Collapse in Three Dimensions},
volume = {94},
year = {2005}
}
@article{baiotti06,
author = {Baiotti, L. and Rezzolla, L.},
cited = {1 September 2007},
doi = {10.1103/PhysRevLett.97.141101},
eid = {141101},
journal = {Phys. Rev. Lett.},
keywords = {Numerical relativity, Numerical relativistic hydrodynamics, Neutron stars, Black holes, Gravitational radiation, Gravitational collapse},
onlineversion = {http://arXiv.org/abs/gr-qc/0608113},
title = {Challenging the Paradigm of Singularity Excision in Gravitational Collapse},
volume = {97},
year = {2006}
}
@article{baiotti07,
adsurl = {http://adsabs.harvard.edu/abs/2007PhRvD..75d4023B},
archiveprefix = {arXiv},
author = {Baiotti, L. and De Pietri, R. and Manca, G. M. and Rezzolla, L.},
cited = {1 September 2007},
doi = {10.1103/PhysRevD.75.044023},
eid = {044023},
eprint = {astro-ph/0609473},
journal = {Phys. Rev. D},
keywords = {Numerical relativity, Numerical relativistic hydrodynamics, Neutron stars, Gravitational radiation, Relativistic stars},
onlineversion = {http://arXiv.org/abs/astro-ph/0609473},
primaryclass = {astro-ph},
title = {Accurate simulations of the dynamical bar-mode instability in full general relativity},
volume = {75},
year = {2007}
}
@article{balsara94,
author = {Balsara, D. S.},
doi = {10.1006/jcph.1994.1167},
journal = {J. Comput. Phys.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Relativistic hydrodynamics},
pages = {284--297},
title = {Riemann Solver for Relativistic Hydrodynamics},
volume = {114},
year = {1994}
}
@article{balsara01,
author = {Balsara, D. S.},
doi = {10.1086/318941},
journal = {Astrophys. J. Suppl. Ser.},
keywords = {Finite difference methods, Finite volume methods, Numerical methods, Relativistic hydrodynamics, Relativistic magnetohydrodynamics},
pages = {83--101},
title = {Total Variation Diminishing Scheme for Relativistic Magnetohydrodynamics},
volume = {132},
year = {2001}
}
@article{balsara04,
adsurl = {http://adsabs.harvard.edu/abs/2004ApJ...602.1079B},
author = {Balsara, D. S. and Kim, J.},
cited = {1 September 2007},
doi = {10.1086/381051},
eprint = {astro-ph/0310728},
journal = {Astrophys. J.},
keywords = {Numerical methods, Magnetohydrodynamics (MHD)},
onlineversion = {http://arXiv.org/abs/astro-ph/0310728},
pages = {1079--1090},
title = {A Comparison between Divergence-Cleaning and Staggered-Mesh Formulations for Numerical Magnetohydrodynamics},
volume = {602},
year = {2004}
}
@article{bardeen72,
author = {Bardeen, J. M. and Press, W. H.},
doi = {10.1063/1.1666175},
journal = {J. Math. Phys.},
keywords = {Approximation methods, Perturbation theory, Schwarzschild solution},
pages = {7--19},
title = {Radiation fields in the Schwarzschild background},
volume = {14},
year = {1973}
}
@article{bardeen83,
adsurl = {http://adsabs.harvard.edu/abs/1983PhR....96..205B},
author = {Bardeen, J. M. and Piran, T.},
doi = {10.1016/0370-1573(83)90069-8},
journal = {Phys. Rep.},
keywords = {ADM formalism, Einstein equations, Gauge conditions, Gravitational collapse, Numerical methods, Numerical relativity, Relativistic hydrodynamics},
pages = {205--250},
title = {General relativistic axisymmetric rotating systems: Coordinates and equations},
volume = {96},
year = {1983}
}
@article{banyuls97,
author = {Banyuls, F. and Font, J. A. and Ib{\'{a}}{\~{n}}ez, J. M. and Mart{\'{\i}}, J. M. and Miralles, J. A.},
doi = {10.1086/303604},
journal = {Astrophys. J.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical relativity, Relativistic hydrodynamics},
pages = {221--231},
title = {Numerical 3+1 General Relativistic Hydrodynamics: a Local Characteristic Approach},
volume = {476},
year = {1997}
}
@article{balbus98,
adsurl = {http://adsabs.harvard.edu/abs/1998RvMP...70....1B},
author = {Balbus, S. A. and Hawley, J. F.},
doi = {10.1103/RevModPhys.70.1},
journal = {Rev. Mod. Phys.},
keywords = {Accretion disks},
pages = {1--53},
title = {Instability, turbulence, and enhanced transport in accretion disks},
volume = {70},
year = {1998}
}
@article{balbus01,
author = {Balbus, S. A.},
cited = {15 July 2002},
doi = {10.1086/323875},
journal = {Astrophys. J.},
keywords = {Accretion disks},
onlineversion = {http://arXiv.org/abs/astro-ph/0106283},
pages = {909--917},
title = {Convective and Rotational Stability of a Dilute Plasma},
volume = {562},
year = {2001}
}
@article{baumgarte98,
adsurl = {http://adsabs.harvard.edu/abs/1999PhRvD..59b4007B},
archiveprefix = {arXiv},
author = {Baumgarte, T. W. and Shapiro, S. L.},
cited = {1 November 1998},
doi = {10.1103/PhysRevD.59.024007},
eid = {024007},
eprint = {gr-qc/9810065},
journal = {Phys. Rev. D},
keywords = {ADM formalism, Constraint equations, Gauge conditions, Numerical relativity, Einstein equations, Numerical methods, Stability theory},
onlineversion = {http://arXiv.org/abs/gr-qc/9810065},
primaryclass = {gr-qc},
title = {Numerical integration of Einstein's field equations},
volume = {59},
year = {1998}
}
@article{baumgarte03,
author = {Baumgarte, T. W. and Shapiro, S. L.},
cited = {31 August 2007},
doi = {10.1086/346103},
journal = {Astrophys. J.},
keywords = {Numerical relativistic magnetohydrodynamics, Numerical relativity, Einstein equations},
onlineversion = {http://arXiv.org/abs/astro-ph/0211340},
pages = {921--929},
title = {General relativistic magnetohydrodynamics for the numerical construction of dynamical spacetimes},
volume = {585},
year = {2003}
}
@article{baumgarte03b,
adsurl = {http://adsabs.harvard.edu/abs/2003PhR...376...41B},
archiveprefix = {arXiv},
author = {Baumgarte, T. W. and Shapiro, S. L.},
cited = {31 August 2007},
doi = {10.1016/S0370-1573(02)00537-9},
eprint = {gr-qc/0211028},
journal = {Phys. Rep.},
keywords = {Numerical relativity, Einstein equations, Numerical relativistic hydrodynamics, Binary systems, Black holes, Neutron stars},
onlineversion = {http://arXiv.org/abs/gr-qc/0211028},
pages = {41--131},
primaryclass = {gr-qc},
title = {Numerical relativity and compact binaries},
volume = {376},
year = {2003}
}
@article{benensohn97,
author = {Benensohn, J. S. and Lamb, D. Q. and Taam, R. E.},
cited = {15 February 2000},
doi = {10.1086/303835},
journal = {Astrophys. J.},
keywords = {Accretion, Computational fluid dynamics, Hydrodynamics, Numerical methods},
onlineversion = {http://arXiv.org/abs/astro-ph/9610245},
pages = {723--733},
title = {Hydrodynamical studies of wind accretion onto compact objects: Two-dimensional calculations},
volume = {478},
year = {1997}
}
@article{bethe85,
adsurl = {http://adsabs.harvard.edu/abs/1985ApJ...295...14B},
author = {Bethe, H. A. and Wilson, J. R.},
doi = {10.1086/163343},
journal = {Astrophys. J.},
keywords = {Gravitational collapse, Hydrodynamics, Neutrinos, Neutron stars, Nuclear physics, Relativistic astrophysics, Shock waves, Supernovae},
pages = {14--23},
title = {Revival of a stalled supernova shock by neutrino heating},
volume = {295},
year = {1985}
}
@article{bethe90,
author = {Bethe, H. A.},
journal = {Rev. Mod. Phys.},
keywords = {Gravitational collapse, Hydrodynamics, Neutrinos, Neutron stars, Nuclear physics, Relativistic astrophysics, Shock waves, Supernovae},
pages = {801--866},
title = {Supernova mechanisms},
volume = {62},
year = {1990}
}
@article{bishop99,
adsurl = {http://adsabs.harvard.edu/abs/1999PhRvD..60b4005B},
archiveprefix = {arXiv},
author = {Bishop, N. T. and G{\'{o}}mez, R. and Lehner, L. and Maharaj, M. and Winicour, J.},
cited = {1 February 1999},
doi = {10.1103/PhysRevD.60.024005},
eid = {024005},
eprint = {gr-qc/9901056},
journal = {Phys. Rev. D},
keywords = {Black holes, Einstein equations, Energy and momentum, Initial value problem, Null surfaces, Numerical methods, Numerical relativity, Relativistic hydrodynamics},
numpages = {11},
onlineversion = {http://arXiv.org/abs/gr-qc/9901056},
title = {The incorporation of matter into characteristic numerical relativity},
volume = {60},
year = {1999}
}
@article{bishop05,
adsurl = {http://adsabs.harvard.edu/abs/2005PhRvD..72b4002B},
archiveprefix = {arXiv},
author = {Bishop, N. T. and G{\'{o}}mez, R. and Lehner, L. and Maharaj, M. and Winicour, J.},
cited = {1 September 2007},
doi = {10.1103/PhysRevD.72.024002},
eid = {024002},
eprint = {gr-qc/0412080},
journal = {Phys. Rev. D},
keywords = {Einstein equations, Numerical relativity, Numerical methods, Null surfaces, Relativistic hydrodynamics, Black holes, Energy and momentum, Initial value problem},
numpages = {16},
onlineversion = {http://arXiv.org/abs/gr-qc/0412080},
title = {Characteristic initial data for a star orbiting a black hole},
volume = {72},
year = {2005}
}
@article{blandford82,
adsurl = {http://adsabs.harvard.edu/abs/1982MNRAS.199..883B},
author = {Blandford, R. D. and Payne, D. G.},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Accretion disks, Active galactic nuclei, Extragalactic jets, Relativistic astrophysics, Magnetohydrodynamics (MHD)},
pages = {883--903},
title = {Hydromagnetic flows from accretion discs and the production of radio jets},
volume = {199},
year = {1982}
}
@article{blandford77,
adsurl = {http://adsabs.harvard.edu/abs/1977MNRAS.179..433B},
author = {Blandford, R. D. and Znajek, R. L.},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Accretion disks, Active galactic nuclei, Extragalactic jets, Kerr metric, Relativistic astrophysics, Magnetohydrodynamics (MHD)},
pages = {433--456},
title = {Electromagnetic extraction of energy from Kerr black holes},
volume = {179},
year = {1977}
}
@article{blandford98,
adsurl = {http://adsabs.harvard.edu/abs/1999MNRAS.303L...1B},
archiveprefix = {arXiv},
author = {Blandford, R. D. and Begelman, M. C.},
cited = {15 February 2000},
doi = {10.1046/j.1365-8711.1999.02358.x},
eprint = {astro-ph/9809083},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Accretion, Accretion disks, Black holes, Hydrodynamics},
onlineversion = {http://arXiv.org/abs/astro-ph/9809083},
pages = {L1--L5},
title = {On the fate of gas accreting at a low rate on to a black hole},
volume = {303},
year = {1999}
}
@inproceedings{blandford99,
address = {San Francisco, U.S.A.},
author = {Blandford, R. D.},
booktitle = {Astrophysical Discs: An EC Summer School},
cited = {1 February 1999},
conference = {Proceedings of a meeting held at Isaac Newton Institute for Mathematical Sciences, Cambridge, England, 22--26 June 1998},
editor = {Sellwood, J. A. and Goodman, J.},
keywords = {Accretion, Accretion disks, Black holes},
onlineversion = {http://arXiv.org/abs/astro-ph/9902001},
pages = {265},
publisher = {Astronomical Society of the Pacific},
series = {ASP Conference Series},
title = {Relativistic Accretion},
volume = {160},
year = {1999}
}
@article{bocquet95,
adsurl = {http://adsabs.harvard.edu/abs/1995A&A...301..757B},
author = {Bocquet, M. and Bonazzola, S. and Gourgoulhon, E. and Novak, J.},
cited = {15 December 2007},
journal = {Astron. Astrophys.},
keywords = {Neutron stars, Rotating stars, Magnetic fields},
onlineversion = {http://arXiv.org/abs/gr-qc/9503044},
pages = {757--775},
title = {Rotating neutron star models with a magnetic field},
volume = {301},
year = {1995}
}
@article{bona89,
author = {Bona, C. and Mass{\'{o}}, J.},
journal = {Phys. Rev. D},
keywords = {ADM formalism, Constraint equations, Einstein equations, Gauge conditions, Hyperbolic equations, Numerical methods, Numerical relativity},
pages = {1022--1026},
title = {Einstein's evolution equations as a system of balance laws},
volume = {40},
year = {1989}
}
@inproceedings{bona93,
address = {Berlin, Germany; New York, U.S.A.},
author = {Bona, C. and Ib{\'{a}}{\~{n}}ez, J. M. and Mart{\'{\i}}, J. M. and Mass{\'{o}}, J.},
booktitle = {Rotating Objects and Relativistic Physics},
conference = {Proceedings of the El Escorial Summer School on Gravitation and General Relativity, 24--28 August 1992},
editor = {Chinea, F. and Gonz{\'{a}}lez-Romero, L. M.},
keywords = {Gravitational collapse, Hyperbolic equations, Numerical methods, Numerical relativistic hydrodynamics, Numerical relativity},
pages = {218--226},
publisher = {Springer},
series = {Lecture Notes in Physics},
title = {Shock capturing methods in 1D Numerical Relativity},
volume = {423},
year = {1993}
}
@article{bonazzola93,
adsurl = {http://adsabs.harvard.edu/abs/1993A&A...267..623B},
author = {Bonazzola, S. and Marck, J.-A.},
journal = {Astron. Astrophys.},
keywords = {Computational fluid dynamics, Gravitational collapse, Gravitational radiation, Hydrodynamics, Spectral methods},
pages = {623--633},
title = {Efficiency of gravitational radiation from axisymmetric and 3D stellar collapse. I. Polytropic case},
volume = {267},
year = {1993}
}
@article{bonazzola99,
adsurl = {http://adsabs.harvard.edu/abs/1999JCoAM.109..433B},
author = {Bonazzola, S. and Gourgoulhon, E. and Marck, J.-A.},
cited = {15 February 2000},
doi = {10.1016/S0377-0427(99)00167-3},
journal = {J. Comput. Appl. Math.},
keywords = {Relativistic astrophysics, Spectral methods},
onlineversion = {http://arXiv.org/abs/gr-qc/9811089},
pages = {433--473},
title = {Spectral methods in general astrophysics},
volume = {109},
year = {1999}
}
@article{bondi44,
adsurl = {http://adsabs.harvard.edu/abs/1944MNRAS.104..273B},
author = {Bondi, H. and Hoyle, F.},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Accretion, Astrophysics, Stars},
pages = {273--282},
title = {On the mechanism of accretion by stars},
volume = {104},
year = {1944}
}
@article{bondi52,
adsurl = {http://adsabs.harvard.edu/abs/1952MNRAS.112..195B},
author = {Bondi, H.},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Accretion, Astrophysics},
pages = {195},
title = {On spherically symmetrical accretion},
volume = {112},
year = {1952}
}
@article{bondi62,
adsurl = {http://adsabs.harvard.edu/abs/1962RSPSA.269...21B},
author = {Bondi, H. and van der Burg, M. G. J. and Metzner, A. W. K.},
doi = {10.1098/rspa.1962.0161},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Characteristic initial value problem, Gravitational radiation},
pages = {21--52},
title = {Gravitational Waves in General Relativity. VII. Waves from Axi-Symmetric Isolated Systems},
volume = {269},
year = {1962}
}
@article{boris73,
author = {Boris, J. P. and Book, D. L.},
doi = {10.1016/0021-9991(73)90147-2},
journal = {J. Comput. Phys.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Numerical methods},
pages = {38--69},
title = {Flux corrected transport I. SHASTA, a fluid transport algorithm that works},
volume = {11},
year = {1973}
}
@article{brio88,
author = {Brio, M. and Wu, C. C.},
doi = {10.1016/0021-9991(88)90120-9},
journal = {J. Comput. Phys.},
keywords = {Hyperbolic equations, Numerical methods, Finite difference methods, Magnetohydrodynamics (MHD)},
pages = {400--422},
title = {An upwind differencing scheme for the equations of ideal magnetohydrodynamics},
volume = {75},
year = {1988}
}
@article{bromley98,
author = {Bromley, B. C. and Miller, W. A. and Pariev, V. I.},
doi = {10.1038/34130},
journal = {Nature},
keywords = {Accretion disks, Active galactic nuclei, Black holes, Relativistic astrophysics},
pages = {54--56},
title = {The inner edge of the accretion disk around a supermassive black hole},
volume = {391},
year = {1998}
}
@inproceedings{brown01a,
address = {Melville},
author = {Brown, J. D.},
booktitle = {Astrophysical Sources for Ground-Based Gravitational Wave Detectors},
cited = {24 June 2002},
conference = {Philadelphia, Pennsylvania, 30 October\,--\,1 November 2000},
editor = {Centrella, J. M.},
eprint = {gr-qc/0012084},
keywords = {Hydrodynamics, Neutron stars, Supernovae},
onlineversion = {http://arXiv.org/abs/gr-qc/0012084},
pages = {234--245},
publisher = {American Institute of Physics},
series = {AIP Conference Proceedings},
title = {Rotational instabilities in post-collapse stellar cores},
volume = {575},
year = {2001}
}
@article{bruenn85,
author = {Bruenn, S. W.},
doi = {10.1086/191056},
journal = {Astrophys. J. Suppl. Ser.},
keywords = {Gravitational collapse, Neutrinos, Stars, Supernovae},
pages = {771--841},
title = {Stellar core collapse: numerical model and infall epoch},
volume = {58},
year = {1985}
}
@inproceedings{bruenn93,
address = {Bristol; Philadelphia},
adsurl = {http://adsabs.harvard.edu/abs/1993npu..work...31B},
author = {Bruenn, S. W.},
booktitle = {Nuclear Physics in the Universe},
conference = {Proceedings of the First Symposium on Nuclear Physics in the Universe held in Oak Ridge, Tennessee, USA, 24\,--\,26 September 1992},
editor = {Guidry, M. W. and Strayer, M. R.},
keywords = {Computational fluid dynamics, Gravitational collapse, Neutrinos, Nuclear physics, Shock waves, Supernovae},
pages = {31--50},
publisher = {Institute of Physics},
title = {Numerical simulations of core collapse supernovae},
year = {1993}
}
@article{bucciantini06,
author = {Bucciantini, N. and Thompson, T. A. and Arons, J. and Quataert, E. and Del Zanna, L.},
cited = {5 September 2007},
doi = {10.1111/j.1365-2966.2006.10217.x},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Numerical relativistic magnetohydrodynamics, Neutron stars},
onlineversion = {http://arXiv.org/abs/astro-ph/0602475},
pages = {1717-1734},
title = {Numerical relativistic magnetohydrodynamics winds from rotating neutron stars},
volume = {368},
year = {2006}
}
@article{buras03,
author = {Buras, R. and Rampp, M. and Janka, H.-T. and Kifonidis, K.},
cited = {5 November 2007},
doi = {10.1103/PhysRevLett.90.241101},
eid = {241101},
journal = {Phys. Rev. Lett.},
keywords = {Hydrodynamics, Neutron stars, Gravitational collapse, Supernovae, Neutrinos, Nuclear physics},
onlineversion = {http://arXiv.org/abs/astro-ph/0303171},
title = {Improved Models of Stellar Core Collapse and Still No Explosions: What Is Missing?},
volume = {90},
year = {2003}
}
@article{buras06,
author = {Buras, R. and Rampp, M. and Janka, H.-T. and Kifonidis, K.},
cited = {5 November 2007},
journal = {Astron. Astrophys.},
keywords = {Hydrodynamics, Neutron stars, Gravitational collapse, Supernovae, Neutrinos, Nuclear physics},
onlineversion = {http://arXiv.org/abs/astro-ph/0507135},
pages = {1049-1092},
title = {Two-dimensional hydrodynamic core-collapse supernova simulations with spectral neutrino transport. I. Numerical method and results for a 15 M$_{\odot}$ star},
volume = {447},
year = {2006}
}
@article{burrows06,
adsurl = {http://adsabs.harvard.edu/abs/2006ApJ...640..878B},
author = {Burrows, A. and Livne, E. and Dessart, L. and Ott, C. D. and Murphy, J.},
cited = {2 November 2007},
doi = {10.1086/500174},
eprint = {arXiv:astro-ph/0510687},
journal = {Astrophys. J.},
keywords = {Hydrodynamics, Gravitational collapse, Supernovae, Nuclear physics, Neutrinos, Nucleosynthesis},
onlineversion = {http://arXiv.org/abs/astro-ph/0510687},
pages = {878--890},
title = {A New Mechanism for Core-Collapse Supernova Explosions},
volume = {640},
year = {2006}
}
@article{burrows07,
adsurl = {http://adsabs.harvard.edu/abs/2007ApJ...664..416B},
author = {Burrows, A. and Dessart, L. and Livne, E. and Ott, C. D. and Murphy, J.},
cited = {2 December 2007},
doi = {10.1086/519161},
journal = {Astrophys. J.},
keywords = {Hydrodynamics, Gravitational collapse, Supernovae, Nuclear physics, Neutrinos, Nucleosynthesis, Magnetohydrodynamics (MHD)},
onlineversion = {http://arXiv.org/abs/astro-ph/0702539},
pages = {416--434},
title = {Simulations of Magnetically Driven Supernova and Hypernova Explosions in the Context of Rapid Rotation},
volume = {664},
year = {2007}
}
@book{canuto88,
address = {Berlin; New York},
author = {Canuto, C. and Hussaini, M. Y. and Quarteroni, A. and Zang, T. A.},
keywords = {Computational fluid dynamics, Numerical methods, Spectral methods},
publisher = {Springer},
series = {Springer Series in Computational Physics},
title = {Spectral Methods in Fluid Dynamics},
year = {1988}
}
@article{centrella83,
author = {Centrella, J. M. and Wilson, J. R.},
doi = {10.1086/161381},
journal = {Astrophys. J.},
keywords = {Cosmology, Differential equations, Numerical methods, Relativistic hydrodynamics},
pages = {428--435},
title = {Planar numerical cosmology. I. The differential equations},
volume = {273},
year = {1983}
}
@article{centrella84,
author = {Centrella, J. M. and Wilson, J. R.},
doi = {10.1086/190927},
journal = {Astrophys. J. Suppl. Ser.},
keywords = {Computational fluid dynamics, Cosmology, Finite difference methods, Finite volume methods, Numerical methods, Numerical relativity, Relativistic hydrodynamics},
pages = {229--249},
title = {Planar numerical cosmology. II. The difference equations and numerical tests},
volume = {54},
year = {1984}
}
@article{cerda05,
author = {Cerd{\'{a}}-Dur{\'{a}}n, P. and Faye, G. and Dimmelmeier, H. and Font, J. A. and Ib{\'{a}}{\~{n}}ez, J. M. and M{\"{u}}ller, E. and Sch{\"{a}}fer, G.},
cited = {5 July 2007},
doi = {10.1051/0004-6361:20042602},
journal = {Astron. Astrophys.},
keywords = {Numerical relativistic hydrodynamics, Numerical methods, Gravitational collapse, Neutron stars, Einstein equations, Gravitational radiation},
onlineversion = {http://arXiv.org/abs/astro-ph/0412611},
pages = {1033-1055},
title = {CFC+: improved dynamics and gravitational waveforms from relativistic core collapse simulations},
volume = {439},
year = {2005}
}
@article{cerda07,
author = {Cerd{\'{a}}-Dur{\'{a}}n, P. and Font, J. A.},
cited = {5 July 2007},
doi = {10.1088/0264-9381/24/12/S11},
journal = {Class. Quantum Grav.},
keywords = {Numerical relativistic magnetohydrodynamics, Numerical methods, Gravitational collapse, Neutron stars},
onlineversion = {http://arXiv.org/abs/astro-ph/0703593},
pages = {S155--S169},
title = {Towards relativistic simulations of magneto-rotational core collapse},
volume = {24},
year = {2007}
}
@article{cerda07b,
author = {Cerd{\'{a}}-Dur{\'{a}}n, P. and Font, J. A. and Dimmelmeier, H.},
cited = {5 July 2007},
doi = {10.1051/0004-6361:20077432},
journal = {Astron. Astrophys.},
keywords = {Numerical relativistic magnetohydrodynamics, Numerical methods, Gravitational collapse, Neutron stars},
onlineversion = {http://arXiv.org/abs/astro-ph/0703597},
pages = {169--191},
title = {General relativistic simulations of passive-magneto-rotational core collapse with microphysics},
volume = {474},
year = {2007}
}
@book{chandrasekhar83,
address = {Oxford},
author = {Chandrasekhar, S.},
gbs_id = {LBOVcrzFfhsC},
keywords = {Black holes, Black hole thermodynamics, Kerr metric, Kerr-Newman metric, Mathematical physics, Perturbation theory, Schwarzschild solution, Singularities},
publisher = {Clarendon},
series = {The International Series of Monographs on Physics},
title = {The Mathematical Theory of Black Holes},
volume = {69},
year = {1983}
}
@article{choptuik93,
adsurl = {http://adsabs.harvard.edu/abs/1993PhRvL..70....9C},
author = {Choptuik, M. W.},
doi = {10.1103/PhysRevLett.70.9},
journal = {Phys. Rev. Lett.},
keywords = {Black holes, Critical phenomena, Gravitational collapse, Scalar fields},
pages = {9--12},
title = {Universality and scaling in gravitational collapse of a massless scalar field},
volume = {70},
year = {1993}
}
@article{chow97,
author = {Chow, E. and Monaghan, J. J.},
doi = {10.1006/jcph.1997.5708},
journal = {J. Comput. Phys.},
keywords = {Computational fluid dynamics, Hyperbolic equations, Numerical methods, Relativistic hydrodynamics, Spectral methods},
pages = {296--305},
title = {Ultrarelativistic SPH},
volume = {134},
year = {1997}
}
@article{colella84,
author = {Colella, P. and Woodward, P. R.},
doi = {10.1016/0021-9991(84)90143-8},
journal = {J. Comput. Phys.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods},
pages = {174--201},
title = {The piecewise parabolic method (PPM) for gas-dynamical simulations},
volume = {54},
year = {1984}
}
@article{colgate89,
author = {Colgate, S. A.},
doi = {10.1038/341489a0},
journal = {Nature},
keywords = {Gravitational collapse, Hydrodynamics, Neutrinos, Shock waves, Supernovae},
pages = {489--490},
title = {Supernova: Hot bubbles drive explosions},
volume = {341},
year = {1989}
}
@article{daigne04,
adsurl = {http://adsabs.harvard.edu/abs/2004MNRAS.349..841D},
author = {Daigne, F. and Font, J. A.},
cited = {1 September 2007},
doi = {10.1111/j.1365-2966.2004.07547.x},
eprint = {astro-ph/0311618},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Accretion, Accretion disks, Black holes, Relativistic hydrodynamics},
onlineversion = {http://arXiv.org/abs/astro-ph/0311618},
pages = {841--868},
title = {The runaway instability of thick discs around black holes -- II. Non-constant angular momentum discs},
volume = {349},
year = {2004}
}
@techreport{davis84,
address = {Hampton, U.S.A.},
author = {Davis, S. F.},
keywords = {Numerical methods, Finite difference methods, Finite volume methods, Computational fluid dynamics},
number = {No. 84-20},
publisher = {Institute for Computer Applications in Science and Engineering (ICASE)},
series = {ICASE Report},
title = {A simplified TVD finite difference scheme via artificial viscosity},
year = {1984}
}
@article{delzanna02a,
author = {Del Zanna, L. and Bucciantini, N.},
cited = {13 June 2002},
doi = {10.1051/0004-6361:20020776},
journal = {Astron. Astrophys.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Numerical methods, Numerical relativistic hydrodynamics},
onlineversion = {http://arXiv.org/abs/astro-ph/0205290},
pages = {1177--1186},
title = {An efficient shock-capturing central-type scheme for multidimensional relativistic flows. I. Hydrodynamics},
volume = {390},
year = {2002}
}
@article{delzanna03,
author = {Del Zanna, L. and Bucciantini, N. and Londrillo, P.},
cited = {13 October 2007},
doi = {10.1051/0004-6361:20021641},
journal = {Astron. Astrophys.},
keywords = {Numerical relativistic magnetohydrodynamics, Numerical methods, Computational fluid dynamics, Finite difference methods, Finite volume methods},
onlineversion = {http://arXiv.org/abs/astro-ph/0210618},
pages = {397--413},
title = {An efficient shock-capturing central-type scheme for multidimensional relativistic flows. II. Magnetohydrodynamics},
volume = {400},
year = {2003}
}
@article{delzanna07,
adsurl = {http://adsabs.harvard.edu/abs/2007A&A...473...11D},
archiveprefix = {arXiv},
author = {Del Zanna, L. and Zanotti, O. and Bucciantini, N. and Londrillo, P.},
cited = {31 August 2007},
doi = {10.1051/0004-6361:20077093},
eprint = {0704.3206},
journal = {Astron. Astrophys.},
keywords = {Numerical relativistic magnetohydrodynamics, Numerical methods},
onlineversion = {http://arXiv.org/abs/0704.3206},
pages = {11--30},
title = {ECHO: a Eulerian conservative high-order scheme for general relativistic magnetohydrodynamics and magnetodynamics},
volume = {473},
year = {2007}
}
@article{devilliers02a,
adsurl = {http://adsabs.harvard.edu/abs/2002ApJ...577..866D},
author = {De Villiers, J.-P. and Hawley, J. F.},
cited = {14 June 2002},
doi = {10.1086/342238},
eprint = {astro-ph/0204163},
journal = {Astrophys. J.},
keywords = {Accretion, Black holes, Numerical relativistic hydrodynamics},
onlineversion = {http://arXiv.org/abs/astro-ph/0204163},
pages = {866--879},
title = {Three-dimensional Hydrodynamic Simulations of Accretion Tori in Kerr Spacetimes},
volume = {577},
year = {2002}
}
@article{devilliers03,
adsurl = {http://adsabs.harvard.edu/abs/2003ApJ...589..458D},
author = {De Villiers, J.-P. and Hawley, J. F.},
cited = {5 July 2007},
doi = {10.1086/373949},
eprint = {astro-ph/0210518},
journal = {Astrophys. J.},
keywords = {Numerical relativistic magnetohydrodynamics, Accretion, Black holes, Finite difference methods},
onlineversion = {http://arXiv.org/abs/astro-ph/0210518},
pages = {458--480},
title = {A Numerical Method for General Relativistic Magnetohydrodynamics},
volume = {589},
year = {2003}
}
@article{devilliers03b,
adsurl = {http://adsabs.harvard.edu/abs/2003ApJ...599.1238D},
author = {De Villiers, J.-P. and Hawley, J. F. and Krolik, J. H.},
cited = {5 July 2007},
doi = {10.1086/379509},
eprint = {astro-ph/0307260},
journal = {Astrophys. J.},
keywords = {Numerical relativistic magnetohydrodynamics, Accretion, Black holes, Finite difference methods},
onlineversion = {http://arXiv.org/abs/astro-ph/0307260},
pages = {1238--1253},
title = {Magnetically Driven Accretion Flows in the Kerr Metric. I. Models and Overall Structure},
volume = {599},
year = {2003}
}
@article{devilliers03c,
author = {De Villiers, J.-P. and Hawley, J. F.},
cited = {5 July 2007},
doi = {10.1086/375866},
eprint = {astro-ph/0303241},
journal = {Astrophys. J.},
keywords = {Numerical relativistic magnetohydrodynamics, Accretion, Black holes, Finite difference methods},
onlineversion = {http://arXiv.org/abs/astro-ph/0303241},
pages = {1060--1077},
title = {Global General Relativistic Magnetohydrodynamic Simulations of Accretion Tori},
volume = {592},
year = {2003}
}
@article{devilliers05,
adsurl = {http://adsabs.harvard.edu/abs/2005ApJ...620..878D},
author = {De Villiers, J.-P. and Hawley, J. F. and Krolik, J. H. and Hirose, S.},
cited = {5 September 2007},
doi = {10.1086/427142},
eprint = {astro-ph/0407092},
journal = {Astrophys. J.},
keywords = {Numerical relativistic magnetohydrodynamics, Accretion, Black holes},
onlineversion = {http://arXiv.org/abs/astro-ph/0407092},
pages = {878--888},
title = {Magnetically Driven Accretion in the Kerr Metric. III. Unbound Outflows},
volume = {620},
year = {2005}
}
@article{dolezal95,
author = {Dolezal, A. and Wong, S. S. M.},
doi = {10.1006/jcph.1995.1164},
journal = {J. Comput. Phys.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Relativistic hydrodynamics},
pages = {266--277},
title = {Relativistic hydrodynamics and Essentially Non-Oscillatory shock capturing schemes},
volume = {120},
year = {1995}
}
@article{dimmelmeier01a,
adsurl = {http://adsabs.harvard.edu/abs/2001ApJ...560L.163D},
author = {Dimmelmeier, H. and Font, J. A. and M{\"{u}}ller, E.},
cited = {13 June 2002},
doi = {10.1086/324406},
eprint = {arXiv:astro-ph/0103088},
journal = {Astrophys. J. Lett.},
keywords = {Einstein equations, Gravitational collapse, Gravitational radiation, Numerical relativistic hydrodynamics, Supernovae},
onlineversion = {http://arXiv.org/abs/astro-ph/0103088},
pages = {L163--L166},
title = {Gravitational Waves from Relativistic Rotational Core Collapse},
volume = {560},
year = {2001}
}
@article{dimmelmeier02a,
author = {Dimmelmeier, H. and Font, J. A. and M{\"{u}}ller, E.},
doi = {10.1088/0264-9381/19/7/308},
journal = {Class. Quantum Grav.},
keywords = {Einstein equations, Gravitational collapse, Gravitational radiation, Numerical relativistic hydrodynamics, Supernovae},
pages = {1291--1296},
title = {Gravitational waves from relativistic rotational core collapse in axisymmetry},
volume = {19},
year = {2002}
}
@article{dimmelmeier02b,
adsurl = {http://adsabs.harvard.edu/abs/2002A&A...388..917D},
author = {Dimmelmeier, H. and Font, J. A. and M{\"{u}}ller, E.},
cited = {13 June 2002},
doi = {10.1051/0004-6361:20020563},
eprint = {arXiv:astro-ph/0204288},
journal = {Astron. Astrophys.},
keywords = {Einstein equations, Gravitational collapse, Gravitational radiation, Numerical methods, Numerical relativistic hydrodynamics, Supernovae},
onlineversion = {http://arXiv.org/abs/astro-ph/0204288},
pages = {917--935},
title = {Relativistic simulations of rotational core collapse I. Methods, initial models, and code tests},
volume = {388},
year = {2002}
}
@article{dimmelmeier02c,
adsurl = {http://adsabs.harvard.edu/abs/2002A&A...393..523D},
author = {Dimmelmeier, H. and Font, J. A. and M{\"{u}}ller, E.},
cited = {13 June 2002},
doi = {10.1051/0004-6361:20021053},
eprint = {arXiv:astro-ph/0204289},
journal = {Astron. Astrophys.},
keywords = {Einstein equations, Gravitational collapse, Gravitational radiation, Numerical relativistic hydrodynamics, Supernovae},
onlineversion = {http://arXiv.org/abs/astro-ph/0204289},
pages = {523--542},
title = {Relativistic simulations of rotational core collapse II. Collapse dynamics and gravitational radiation},
volume = {393},
year = {2002}
}
@article{dimmelmeier05,
adsurl = {http://adsabs.harvard.edu/abs/2005PhRvD..71f4023D},
archiveprefix = {arXiv},
author = {Dimmelmeier, H. and Novak, J. and Font, J. A. and Ib{\'{a}}{\~{n}}ez, J. M. and M{\"{u}}ller, E.},
cited = {15 September 2007},
doi = {10.1103/PhysRevD.71.064023},
eid = {064023},
eprint = {astro-ph/0407174},
journal = {Phys. Rev. D},
keywords = {Relativistic hydrodynamics, Gravitational collapse, Supernovae, Gravitational radiation, Einstein equations, Spectral methods},
onlineversion = {http://arXiv.org/abs/astro-ph/0407174},
primaryclass = {astro-ph},
title = {Combining spectral and shock-capturing methods: A new numerical approach for 3D relativistic core collapse simulations},
volume = {71},
year = {2005}
}
@article{dimmelmeier06,
adsurl = {http://adsabs.harvard.edu/abs/2006MNRAS.368.1609D},
author = {Dimmelmeier, H. and Stergioulas, N. and Font, J. A.},
cited = {15 September 2007},
doi = {10.1111/j.1365-2966.2006.10274.x},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Relativistic hydrodynamics, Neutron stars, Relativistic stars, Gravitational radiation, Numerical relativity},
onlineversion = {http://arXiv.org/abs/astro-ph/0511394},
pages = {1609--1630},
title = {Non-linear axisymmetric pulsations of rotating relativistic stars in the conformal flatness approximation},
volume = {368},
year = {2006}
}
@inproceedings{dimmelmeier06b,
address = {Melville, U.S.A.},
author = {Dimmelmeier, H. and Cerd{\'{a}}-Dur{\'{a}}n, P. and Marek, A. and Faye, G.},
booktitle = {Albert Einstein Century International Conference},
cited = {1 November 2007},
conference = {Paris, France, 18\,--\,22 July 2005},
editor = {Alimi, J.-M. and F{\"{u}}zfa, A.},
keywords = {Relativistic hydrodynamics, Numerical relativity, Gravitational collapse, Supernovae, Neutron stars, Gravitational waves},
onlineversion = {http://arXiv.org/abs/astro-ph/0603760},
pages = {600--607},
publisher = {American Institute of Physics},
series = {AIP Conference Proceedings},
title = {New Methods for Approximating General Relativity in Numerical Simulations of Stellar Core Collapse},
volume = {861},
year = {2006}
}
@article{dimmelmeier07,
adsurl = {http://adsabs.harvard.edu/abs/2008PhRvL..98y1101D},
archiveprefix = {arXiv},
author = {Dimmelmeier, H. and Ott, C. D. and Janka, H.-T. and Marek, A. and M{\"{u}}ller, E.},
cited = {15 September 2007},
doi = {10.1103/PhysRevLett.98.251101},
eid = {251101},
eprint = {astro-ph/0702305},
journal = {Phys. Rev. Lett.},
keywords = {Relativistic hydrodynamics, Neutron stars, Relativistic stars, Gravitational radiation, Gravitational collapse},
onlineversion = {http://arXiv.org/abs/astro-ph/0702305},
title = {Generic gravitational-wave signals from the collapse of rotating stellar cores},
volume = {98},
year = {2007}
}
@article{donat96,
author = {Donat, R. and Marquina, A.},
doi = {10.1006/jcph.1996.0078},
journal = {J. Comput. Phys.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations},
pages = {42--58},
title = {Capturing shock reflections: An improved flux formula},
volume = {125},
year = {1996}
}
@article{donat98,
author = {Donat, R. and Font, J. A. and Ib{\'{a}}{\~{n}}ez, J. M. and Marquina, A.},
doi = {10.1006/jcph.1998.5955},
journal = {J. Comput. Phys.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Relativistic hydrodynamics},
pages = {58--81},
title = {A Flux-Split Algorithm applied to Relativistic Flows},
volume = {146},
year = {1998}
}
@article{dubal98,
author = {Dubal, M. R. and d'Inverno, R. A. and Vickers, J. A.},
doi = {10.1103/PhysRevD.58.044019},
eid = {044019},
journal = {Phys. Rev. D},
keywords = {Cauchy problem, Initial value problem, Null surfaces, Numerical methods, Numerical relativistic hydrodynamics, Numerical relativity},
title = {Combining Cauchy and characteristic codes. V. Cauchy-characteristic matching for a spherical space-time containing a perfect fluid},
volume = {58},
year = {1998}
}
@article{duez01a,
author = {Duez, M. D. and Baumgarte, T. W. and Shapiro, S. L. and Shibata, M. and Ury{\={u}}, K.},
cited = {13 June 2002},
eid = {024016},
journal = {Phys. Rev. D},
keywords = {Binary systems, Einstein equations, Gravitational radiation, Neutron stars, Numerical relativistic hydrodynamics, Numerical relativity},
onlineversion = {http://arXiv.org/abs/gr-qc/0110006},
pages = {1--8},
title = {Comparing the inspiral of irrotational and corotational binary neutron stars},
volume = {65},
year = {2002}
}
@article{duez02,
author = {Duez, M. D. and Marronetti, P. and Shapiro, S. L. and Baumgarte, T. W.},
cited = {2 October 2002},
doi = {10.1103/PhysRevD.67.024004},
eid = {024004},
journal = {Phys. Rev. D},
keywords = {Einstein equations, Numerical relativistic hydrodynamics, Numerical relativity},
numpages = {22},
onlineversion = {http://arXiv.org/abs/gr-qc/0209102},
title = {Hydrodynamic simulations in 3+1 general relativity},
volume = {67},
year = {2003}
}
@article{duez04,
author = {Duez, M. D. and Liu, Y. T. and Shapiro, S. L. and Stephens, B. C.},
cited = {5 September 2007},
eid = {104030},
journal = {Phys. Rev. D},
keywords = {Numerical relativity, Relativistic hydrodynamics, Gravitational collapse, Neutron stars, Black holes},
onlineversion = {http://arXiv.org/abs/astro-ph/0402502},
pages = {1--24},
title = {General relativistic hydrodynamics with viscosity: Contraction, catastrophic collapse, and disk formation in hypermassive neutron stars},
volume = {69},
year = {2004}
}
@article{duez04b,
adsurl = {http://adsabs.harvard.edu/abs/2004PhRvD..69j4016D},
author = {Duez, M. D. and Shapiro, S. L. and Yo, H.-J.},
cited = {5 September 2007},
doi = {10.1103/PhysRevD.69.104016},
eid = {104016},
journal = {Phys. Rev. D},
keywords = {Numerical relativity, Relativistic hydrodynamics, Gravitational collapse, Neutron stars, Black holes},
onlineversion = {http://arXiv.org/abs/gr-qc/0401076},
pages = {1--16},
title = {Relativistic hydrodynamic evolutions with black hole excision},
volume = {69},
year = {2004}
}
@article{duez05,
adsurl = {http://adsabs.harvard.edu/abs/2005PhRvD..72b4028D},
author = {Duez, M. D. and Liu, Y. T. and Shapiro, S. L. and Stephens, B. C.},
cited = {5 July 2007},
doi = {10.1103/PhysRevD.72.024028},
eid = {024028},
eprint = {astro-ph/0503420},
journal = {Phys. Rev. D},
keywords = {Numerical relativity, Numerical relativistic magnetohydrodynamics, Einstein equations},
onlineversion = {http://arXiv.org/abs/astro-ph/0503420},
title = {Relativistic magnetohydrodynamics in dynamical spacetimes: Numerical methods and tests},
volume = {72},
year = {2005}
}
@article{duez05b,
adsurl = {http://adsabs.harvard.edu/abs/2006PhRvL..96c1101D},
archiveprefix = {arXiv},
author = {Duez, M. D. and Liu, Y. T. and Shapiro, S. L. and Shibata, M. and Stephens, B. C.},
cited = {5 July 2007},
doi = {10.1103/PhysRevLett.96.031101},
eid = {031101},
eprint = {astro-ph/0510653},
journal = {Phys. Rev. Lett.},
keywords = {Numerical relativity, Numerical relativistic magnetohydrodynamics, Neutron stars, Black holes},
onlineversion = {http://arXiv.org/abs/astro-ph/0510653},
primaryclass = {astro-ph},
title = {Collapse of magnetized hypermassive neutron stars in general relativity},
volume = {96},
year = {2006}
}
@article{duez06,
author = {Duez, M. D. and Liu, Y. T. and Shapiro, S. L. and Shibata, M. and Stephens, B. C.},
cited = {5 July 2007},
eid = {104015},
journal = {Phys. Rev. D},
keywords = {Numerical relativity, Numerical relativistic magnetohydrodynamics, Neutron stars},
onlineversion = {http://arXiv.org/abs/astro-ph/0605331},
pages = {1--25},
title = {Evolution of magnetized, differentially rotating neutron stars: Simulations in full general relativity},
volume = {73},
year = {2006}
}
@phdthesis{dykema80,
address = {Austin, TX},
author = {Dykema, P. G.},
format = {phd},
keywords = {ADM formalism, Einstein equations, Finite difference methods, Gravitational collapse, Numerical methods, Numerical relativity, Relativistic hydrodynamics},
school = {University of Texas at Austin},
title = {Numerical simulation of axisymmetric gravitational collapse},
year = {1980}
}
@article{einfeldt88,
author = {Einfeldt, B.},
doi = {10.1137/0725021},
journal = {SIAM J. Numer. Anal.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations},
pages = {294--318},
title = {On Godunov-type methods for gas dynamics},
volume = {25},
year = {1988}
}
@article{etienne06,
author = {Etienne, Z. B. and Liu, Y. T. and Shapiro, S. L.},
cited = {5 July 2007},
eid = {044030},
journal = {Phys. Rev. D},
keywords = {Numerical relativity, Numerical relativistic magnetohydrodynamics, Neutron stars},
onlineversion = {http://arXiv.org/abs/astro-ph/0609634},
pages = {1--17},
title = {General relativistic simulations of slowly and differentially rotating magnetized neutron stars},
volume = {74},
year = {2006}
}
@article{etienne07,
adsurl = {http://adsabs.harvard.edu/abs/2008PhRvD..77h4002E},
archiveprefix = {arXiv},
author = {Etienne, Z. B. and Faber, J. A. and Liu, Y. T. and Shapiro, S. L. and Taniguchi, K. and Baumgarte, T. W.},
cited = {20 December 2007},
doi = {10.1103/PhysRevD.77.084002},
eid = {084002},
eprint = {0712.2460},
journal = {Phys. Rev. D},
keywords = {Relativistic hydrodynamics, Numerical relativity, Binary systems, Neutron stars, Black holes, Gamma-ray bursts},
primaryclass = {astro-ph},
title = {Fully General Relativistic Simulations of Black Hole-Neutron Star Mergers},
volume = {77},
year = {2008}
}
@inproceedings{evans86,
address = {Cambridge; New York},
author = {Evans, C. R.},
booktitle = {Dynamical Spacetimes and Numerical Relativity},
conference = {Proceedings of the Workshop held at Drexel University, October 7\,--\,11, 1985},
editor = {Centrella, J. M.},
gbs_id = {aP08AAAAIAAJ{\&}pg=PA3},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Gravitational collapse, Gravitational radiation, Hyperbolic equations, Numerical methods, Numerical relativity, Relativistic hydrodynamics},
pages = {3--39},
publisher = {Cambridge University Press},
title = {An approach for calculating axisymmetric gravitational collapse},
year = {1986}
}
@inproceedings{evans86b,
address = {Dordrecht, Netherlands},
author = {Evans, C. R. and Smarr, L. L. and Wilson, J. R.},
booktitle = {Astrophysical Radiation Hydrodynamics},
conference = {Proceedings of the NATO Advanced Research Workshop, Garching, Germany, August 2--13, 1982},
editor = {Norman, M. L. and Winkler, K.-H. A.},
keywords = {ADM formalism, Cauchy problem, Constraint equations, Differential equations, Einstein equations, Gauge conditions, Gravitational collapse, Numerical methods, Numerical relativity, Relativistic hydrodynamics},
pages = {491--529},
publisher = {Reidel Publishing Company},
series = {NATO ASI Series C},
title = {Numerical relativistic gravitational collapse with spatial time slices},
volume = {188},
year = {1986}
}
@article{evans88,
author = {Evans, C. R. and Hawley, J. F.},
doi = {10.1086/166684},
journal = {Astrophys. J.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Numerical methods, Relativistic magnetohydrodynamics},
pages = {659--677},
title = {Simulation of magnetohydrodynamic flows: a constrained transport method},
volume = {332},
year = {1988}
}
@phdthesis{eulderink93,
address = {Leiden, Netherlands},
author = {Eulderink, F.},
format = {phd},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods, Numerical relativity, Relativistic hydrodynamics},
school = {Rijksuniversiteit Leiden},
title = {Numerical relativistic hydrodynamics},
year = {1993}
}
@article{eulderink94,
author = {Eulderink, F. and Mellema, G.},
journal = {Astron. Astrophys.},
keywords = {Computational fluid dynamics, Extragalactic jets, Numerical methods, Relativistic hydrodynamics, Special relativity},
pages = {654--662},
title = {Special relativistic jet collimation by inertial confinement},
volume = {284},
year = {1994}
}
@article{eulderink95,
author = {Eulderink, F. and Mellema, G.},
cited = {15 February 2000},
journal = {Astron. Astrophys. Suppl.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods, Numerical relativity, Relativistic hydrodynamics},
onlineversion = {http://arXiv.org/abs/astro-ph/9411056},
pages = {587--623},
title = {General relativistic hydrodynamics with a Roe solver},
volume = {110},
year = {1995}
}
@article{faber06,
author = {Faber, J. A. and Baumgarte, T. W. and Shapiro, S. L. and Taniguchi, K.},
cited = {1 September 2007},
doi = {10.1086/504111},
journal = {Astrophys. J. Lett.},
keywords = {Numerical relativity, Relativistic hydrodynamics, Binary systems, Black holes, Neutron stars, Gamma-ray bursts},
onlineversion = {http://arXiv.org/abs/astro-ph/0603277},
pages = {L93--L96},
title = {General Relativistic Binary Merger Simulations and Short Gamma-Ray Bursts},
volume = {641},
year = {2006}
}
@article{faber06b,
adsurl = {http://adsabs.harvard.edu/abs/2006PhRvD..73b4012F},
archiveprefix = {arXiv},
author = {Faber, J. A. and Baumgarte, T. W. and Shapiro, S. L. and Taniguchi, K. and Rasio, F. A.},
cited = {1 September 2007},
doi = {10.1103/PhysRevD.73.024012},
eid = {024012},
eprint = {astro-ph/0511366},
journal = {Phys. Rev. D},
keywords = {Numerical relativity, Relativistic hydrodynamics, Binary systems, Black holes, Neutron stars, Gamma-ray bursts},
onlineversion = {http://arXiv.org/abs/astro-ph/0511366},
primaryclass = {astro-ph},
title = {The dynamical evolution of black hole-neutron star binaries in general relativity: simulations of tidal disruption},
volume = {73},
year = {2006}
}
@book{fem,
address = {London, U.K.},
author = {Zienkiewicz, O. C.},
edition = {3rd},
keywords = {Numerical methods},
publisher = {McGraw-Hill},
title = {The Finite Element Method},
year = {1977}
}
@article{flanagan98,
adsurl = {http://adsabs.harvard.edu/abs/1999PhRvL..82.1354F},
archiveprefix = {arXiv},
author = {Flanagan, {\'{E}}.{\'{E}}.},
cited = {15 February 2000},
doi = {10.1103/PhysRevLett.82.1354},
eprint = {astro-ph/9811132},
journal = {Phys. Rev. Lett.},
keywords = {Binary systems, Constraint equations, Einstein equations, Neutron stars, Numerical relativistic hydrodynamics, Numerical relativity},
onlineversion = {http://arXiv.org/abs/astro-ph/9811132},
pages = {1354--1357},
primaryclass = {astro-ph},
title = {Possible explanation for star-crushing effect in binary neutron star simulations},
volume = {82},
year = {1999}
}
@article{foglizzo05,
author = {Foglizzo, T. and Galletti, P. and Ruffert, M.},
cited = {15 February 2007},
doi = {10.1051/0004-6361:20042201},
journal = {Astron. Astrophys.},
keywords = {Hydrodynamics, Computational fluid dynamics, Shock waves, Accretion},
onlineversion = {http://arXiv.org/abs/astro-ph/0502168},
pages = {397--411},
title = {A fresh look at the unstable simulations of Bondi-Hoyle-Lyttleton accretion},
volume = {435},
year = {2005}
}
@article{font94,
author = {Font, J. A. and Ib{\'{a}}{\~{n}}ez, J. M. and Mart{\'{\i}}, J. M. and Marquina, A.},
journal = {Astron. Astrophys.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Relativistic hydrodynamics},
pages = {304--314},
title = {Multidimensional relativistic hydrodynamics: characteristic fields and modern high-resolution shock-capturing schemes},
volume = {282},
year = {1994}
}
@article{font98a,
author = {Font, J. A. and Ib{\'{a}}{\~{n}}ez, J. M.},
doi = {10.1086/305205},
journal = {Astrophys. J.},
keywords = {Accretion, Black holes, Computational fluid dynamics, Finite difference methods, Finite volume methods, Numerical methods, Numerical relativistic hydrodynamics, Relativistic hydrodynamics, Shock waves},
pages = {297--316},
title = {A Numerical Study of Relativistic Bondi--Hoyle Accretion onto a Moving Black Hole: Axisymmetric Computations in a Schwarzschild Background},
volume = {494},
year = {1998}
}
@article{font98b,
author = {Font, J. A. and Ib{\'{a}}{\~{n}}ez, J. M.},
cited = {1 May 1998},
doi = {10.1046/j.1365-8711.1998.01664.x},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Accretion, Black holes, Computational fluid dynamics, Finite difference methods, Finite volume methods, Numerical methods, Numerical relativistic hydrodynamics, Relativistic hydrodynamics, Shock waves},
onlineversion = {http://arXiv.org/abs/astro-ph/9804254},
pages = {835--846},
title = {Non-axisymmetric Relativistic Bondi--Hoyle Accretion onto a Schwarzschild Black Hole},
volume = {298},
year = {1998}
}
@article{font98c,
author = {Font, J. A. and Ib{\'{a}}{\~{n}}ez, J. M. and Papadopoulos, P.},
cited = {1 June 1998},
doi = {10.1086/311666},
journal = {Astrophys. J. Lett.},
keywords = {Accretion, Black holes, Numerical relativistic hydrodynamics, Relativistic hydrodynamics, Shock waves},
onlineversion = {http://arXiv.org/abs/astro-ph/9805269},
pages = {L67--L70},
title = {A horizon-adapted approach to the study of relativistic accretion flows onto rotating black holes},
volume = {507},
year = {1998}
}
@article{font99a,
author = {Font, J. A. and Miller, M. and Suen, W.-M. and Tobias, M.},
cited = {1 December 1998},
eid = {044011},
journal = {Phys. Rev. D},
keywords = {ADM formalism, Computational fluid dynamics, Finite difference methods, Finite volume methods, Numerical methods, Numerical relativistic hydrodynamics, Numerical relativity, Relativistic hydrodynamics},
onlineversion = {http://arXiv.org/abs/astro-ph/9811015},
pages = {1--26},
title = {Three-dimensional numerical general relativistic hydrodynamics: Formulations, methods and code tests},
volume = {61},
year = {2000}
}
@article{font99b,
author = {Font, J. A. and Ib{\'{a}}{\~{n}}ez, J. M. and Papadopoulos, P.},
cited = {1 November 1998},
doi = {10.1046/j.1365-8711.1999.02459.x},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Accretion, Black holes, Computational fluid dynamics, Finite difference methods, Finite volume methods, Numerical methods, Numerical relativistic hydrodynamics, Relativistic hydrodynamics, Shock waves},
onlineversion = {http://arXiv.org/abs/astro-ph/9810344},
pages = {920--936},
title = {Non-axisymmetric Relativistic Bondi--Hoyle Accretion onto a Kerr Black Hole},
volume = {305},
year = {1999}
}
@article{font00a,
author = {Font, J. A. and Stergioulas, N. and Kokkotas, K. D.},
cited = {15 February 2000},
doi = {10.1046/j.1365-8711.2000.03254.x},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Finite difference methods, Finite volume methods, Hyperbolic equations, Neutron stars, Numerical methods, Numerical relativistic hydrodynamics},
onlineversion = {http://arXiv.org/abs/gr-qc/9908010},
pages = {678--688},
title = {Nonlinear hydrodynamical evolution of rotating relativistic stars: Numerical methods and code tests},
volume = {313},
year = {2000}
}
@article{font01a,
author = {Font, J. A. and Dimmelmeier, H. and Gupta, A. and Stergioulas, N.},
cited = {13 June 2002},
doi = {10.1046/j.1365-8711.2001.04555.x},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Neutron stars, Numerical methods, Numerical relativistic hydrodynamics},
onlineversion = {http://arXiv.org/abs/astro-ph/0012477},
pages = {1463--1470},
title = {Axisymmetric modes of rotating relativistic stars in the Cowling approximation},
volume = {325},
year = {2001}
}
@article{font02a,
adsurl = {http://adsabs.harvard.edu/abs/2002PhRvD..65h4024F},
archiveprefix = {arXiv},
author = {Font, J. A. and Goodale, T. and Iyer, S. and Miller, M. and Rezzolla, L. and Seidel, E. and Stergioulas, N. and Suen, W.-M. and Tobias, M.},
cited = {13 June 2002},
doi = {10.1103/PhysRevD.65.084024},
eid = {084024},
eprint = {gr-qc/0110047},
journal = {Phys. Rev. D},
keywords = {ADM formalism, Computational fluid dynamics, Finite difference methods, Finite volume methods, Numerical methods, Numerical relativistic hydrodynamics, Numerical relativity, Relativistic hydrodynamics},
numpages = {18},
onlineversion = {http://arXiv.org/abs/gr-qc/0110047},
title = {Three-dimensional numerical general relativistic hydrodynamics. II. Long-term dynamics of single relativistic stars},
volume = {65},
year = {2002}
}
@article{font02b,
adsurl = {http://adsabs.harvard.edu/abs/2002MNRAS.334..383F},
author = {Font, J. A. and Daigne, F.},
cited = {13 June 2002},
doi = {10.1046/j.1365-8711.2002.05515.x},
eprint = {astro-ph/0203403},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Accretion, Black holes, Numerical relativistic hydrodynamics, Relativistic hydrodynamics, Shock waves},
onlineversion = {http://arXiv.org/abs/astro-ph/0203403},
pages = {383--400},
title = {The runaway instability of thick discs around black holes -- I. The constant angular momentum case},
volume = {334},
year = {2002}
}
@article{font02d,
author = {Font, J. A. and Daigne, F.},
cited = {27 March 2003},
doi = {10.1086/345942},
journal = {Astrophys. J.},
keywords = {Accretion, Black holes, Numerical relativistic hydrodynamics},
onlineversion = {http://arXiv.org/abs/astro-ph/0211102},
pages = {L23--L26},
title = {On the stability of thick accretion disks around black holes},
volume = {581},
year = {2002}
}
@article{fragile05,
author = {Fragile, P. C. and Anninos, P.},
cited = {1 November 2007},
doi = {10.1086/428433},
journal = {Astrophys. J.},
keywords = {Accretion, Black holes, Relativistic hydrodynamics},
onlineversion = {http://arXiv.org/abs/astro-ph/0403356},
pages = {347--361},
title = {Hydrodynamic Simulations of Tilted Thick-Disk Accretion onto a Kerr Black Hole},
volume = {623},
year = {2005}
}
@article{fragile07,
adsurl = {http://adsabs.harvard.edu/abs/2007ApJ...668..417F},
author = {Fragile, P. C. and Blaes, O. M. and Anninos, P. and Salmonson, J. D.},
cited = {1 November 2007},
doi = {10.1086/521092},
eprint = {0706.4303},
journal = {Astrophys. J.},
keywords = {Accretion, Black holes, Numerical relativistic magnetohydrodynamics},
onlineversion = {http://arXiv.org/abs/0706.4303},
pages = {417--429},
title = {Global General Relativistic Magnetohydrodynamic Simulation of a Tilted Black Hole Accretion Disk},
volume = {668},
year = {2007}
}
@book{frank02,
address = {Cambridge; New York},
author = {Frank, J. and King, A. and Raine, D. J.},
edition = {3rd},
gbs_id = {GGM{\_}t-xn8ocC},
keywords = {Accretion, Accretion disks, Astrophysics, Stars},
publisher = {Cambridge University Press},
title = {Accretion Power in Astrophysics},
year = {2002}
}
@article{frederiksen04,
author = {Frederiksen, J. T. and Hededal, C. B. and Haugboelle, T. and Nordlund, {\AA}.},
cited = {27 September 2007},
doi = {10.1086/421262},
journal = {Astrophys. J.},
keywords = {Shock waves, Magnetohydrodynamics (MHD)},
onlineversion = {http://arXiv.org/abs/astro-ph/0308104},
pages = {L13--L16},
title = {Magnetic Field Generation in Collisionless Shocks: Pattern Growth and Transport},
volume = {608},
year = {2004}
}
@article{friedrichs74,
author = {Friedrichs, K. O.},
journal = {Commun. Pure Appl. Math.},
keywords = {Hyperbolic equations},
pages = {749--808},
title = {On the laws of relativistic electro-magneto-fluid dynamics},
volume = {27},
year = {1974}
}
@incollection{friedrich02,
address = {Berlin; New York},
archiveprefix = {arXiv},
author = {Friedrich, H.},
booktitle = {The Conformal Structure of Space-Time: Geometry, Analysis, Numerics},
cited = {15 April 2003},
editor = {Friedrich, H. and Frauendiener, J.},
eprint = {gr-qc/0209018},
gbs_id = {iM1k6EwcmcIC},
keywords = {Differential equations, Einstein equations, Numerical relativity},
onlineversion = {http://arXiv.org/abs/gr-qc/0209018},
pages = {1--50},
primaryclass = {gr-qc},
publisher = {Springer},
series = {Lecture Notes in Physics},
title = {Conformal Einstein Evolution},
volume = {604},
year = {2002}
}
@article{fryer00a,
adsurl = {http://adsabs.harvard.edu/abs/2000ApJ...541.1033F},
author = {Fryer, C. L. and Heger, A.},
cited = {15 July 2002},
doi = {10.1086/309446},
eprint = {arXiv:astro-ph/9907433},
journal = {Astrophys. J.},
keywords = {Gravitational collapse, Supernovae},
onlineversion = {http://arXiv.org/abs/astro-ph/9907433},
pages = {1033--1050},
title = {Core-Collapse Simulations of Rotating Stars},
volume = {541},
year = {2000}
}
@article{fryer02a,
adsurl = {http://adsabs.harvard.edu/abs/2002ApJ...565..430F},
author = {Fryer, C. L. and Holz, D. E. and Hughes, S. A.},
cited = {15 July 2002},
doi = {10.1086/324034},
journal = {Astrophys. J.},
keywords = {Gravitational collapse, Gravitational radiation, Supernovae},
onlineversion = {http://arXiv.org/abs/astro-ph/0106113},
pages = {430--446},
title = {Gravitational Wave Emission from Core Collapse of Massive Stars},
volume = {565},
year = {2002}
}
@article{fryer04,
adsurl = {http://adsabs.harvard.edu/abs/2004ApJ...601..391F},
author = {Fryer, C. L. and Warren, M. S.},
cited = {15 July 2007},
doi = {10.1086/380193},
journal = {Astrophys. J.},
keywords = {Gravitational collapse, Supernovae, Neutrinos, Nuclear physics, Hydrodynamics},
onlineversion = {http://arXiv.org/abs/astro-ph/0309539},
pages = {391--404},
title = {The Collapse of Rotating Massive Stars in Three Dimensions},
volume = {601},
year = {2004}
}
@techreport{fryxell89,
address = {Garching, Germany},
author = {Fryxell, B. A. and M{\"{u}}ller, E. and Arnett, W. D.},
keywords = {Numerical methods, Hydrodynamics, Supernovae, Finite difference methods},
number = {MPA 449},
publisher = {Max-Planck-Institut f\"{u}r Astrophysik},
title = {Hydrodynamics and nuclear burning},
year = {1989}
}
@article{gammie03,
author = {Gammie, C. F. and McKinney, J. C. and T{\'{o}}th, G.},
cited = {31 August 2007},
doi = {10.1086/374594},
journal = {Astrophys. J.},
keywords = {Numerical relativistic magnetohydrodynamics, Numerical methods, Black holes, Accretion, Accretion disks},
onlineversion = {http://arXiv.org/abs/astro-ph/0301509},
pages = {444--457},
title = {HARM: A Numerical Scheme for General Relativistic Magnetohydrodynamics},
volume = {589},
year = {2003}
}
@article{giacomazzo06,
author = {Giacomazzo, B. and Rezzolla, L.},
cited = {5 July 2007},
doi = {10.1017/S0022112006001145},
journal = {J. Fluid Mech.},
keywords = {Numerical relativistic magnetohydrodynamics, Hyperbolic equations, Initial value problem, Shock waves},
onlineversion = {http://arXiv.org/abs/gr-qc/0507102},
pages = {223--259},
title = {The exact solution of the Riemann problem in relativistic magnetohydrodynamics},
volume = {562},
year = {2006}
}
@article{giacomazzo07,
adsurl = {http://adsabs.harvard.edu/abs/2007CQGra..24..235G},
archiveprefix = {arXiv},
author = {Giacomazzo, B. and Rezzolla, L.},
cited = {18 September 2007},
doi = {10.1088/0264-9381/24/12/S16},
eprint = {gr-qc/0701109},
journal = {Class. Quantum Grav.},
keywords = {Numerical relativistic magnetohydrodynamics, Hyperbolic equations, Numerical methods, Shock waves},
onlineversion = {http://arXiv.org/abs/gr-qc/0701109},
pages = {S235--S258},
title = {WhiskyMHD: a new numerical code for general relativistic magnetohydrodynamics},
volume = {24},
year = {2007}
}
@article{gingold77,
adsurl = {http://adsabs.harvard.edu/abs/1977MNRAS.181..375G},
author = {Gingold, R. A. and Monaghan, J. J.},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Computational fluid dynamics, Hydrodynamics, Numerical methods, Smoothed particle hydrodynamics},
pages = {375--389},
title = {Smoothed particle hydrodynamics: Theory and application to non-spherical stars},
volume = {181},
year = {1977}
}
@article{gingold82,
author = {Gingold, R. A. and Monaghan, J. J.},
doi = {10.1016/0021-9991(82)90025-0},
journal = {J. Comput. Phys.},
keywords = {Computational fluid dynamics, Hydrodynamics, Numerical methods, Smoothed particle hydrodynamics},
number = {3},
pages = {429--453},
title = {Kernel estimates as a basis for general particle methods in hydrodynamics},
volume = {46},
year = {1982}
}
@article{glaister88,
author = {Glaister, P.},
journal = {J. Comput. Phys.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods},
pages = {382--408},
title = {An approximate linearised Riemann solver for the Euler equations for real gases},
volume = {74},
year = {1988}
}
@article{godunov59,
author = {Godunov, S. K.},
journal = {Mat. Sb.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods},
note = {In Russian},
pages = {271--306},
title = {A finite difference method for the numerical computation and discontinuous solutions of the equations of fluid dynamics},
volume = {47},
year = {1959}
}
@book{gottlieb77,
address = {Philadelphia},
author = {Gottlieb, D. and Orszag, S. A.},
gbs_id = {ycITkwWMRVkC},
keywords = {Differential equations, Numerical methods, Spectral methods},
publisher = {SIAM},
series = {Regional Conference Series in Applied Mathematics},
title = {Numerical Analysis of Spectral Methods: Theory and Applications},
volume = {26},
year = {1977}
}
@article{gourgoulhon91,
adsurl = {http://adsabs.harvard.edu/abs/1991A&A...252..651G},
author = {Gourgoulhon, E.},
journal = {Astron. Astrophys.},
keywords = {Gravitational collapse, Neutron stars, Numerical methods, Relativistic hydrodynamics, Spectral methods},
pages = {651--663},
title = {Simple equations for general relativistic hydrodynamics in spherical symmetry applied to neutron star collapse},
volume = {252},
year = {1991}
}
@book{gourgoulhon07,
address = {Berlin; New York},
adsurl = {http://adsabs.harvard.edu/abs/2012LNP...846.....G},
archiveprefix = {arXiv},
author = {Gourgoulhon, E.},
cited = {30 September 2007},
doi = {10.1007/978-3-642-24525-1},
eprint = {gr-qc/0703035},
keywords = {Einstein equations, Numerical relativity, Initial value problem},
primaryclass = {gr-qc},
publisher = {Springer},
series = {Lecture Notes in Physics},
title = {3+1 Formalism in General Relativity: Bases of Numerical Relativity},
volume = {846},
year = {2012}
}
@article{grandclement07,
adsurl = {http://adsabs.harvard.edu/abs/2009LRR....12....1G},
archiveprefix = {arXiv},
author = {Grandcl{\'{e}}ment, P. and Novak, J.},
cited = {30 September 2007},
doi = {10.12942/lrr-2009-1},
eid = {lrr-2009-1},
eprint = {0706.2286},
journal = {Living Rev. Relativity},
keywords = {Numerical methods, Spectral methods, Numerical relativity},
onlineversion = {http://arXiv.org/abs/0706.2286},
primaryclass = {gr-qc},
title = {Spectral Methods for Numerical Relativity},
url = {http://www.livingreviews.org/lrr-2009-1},
volume = {12},
year = {2009}
}
@article{gressman02a,
adsurl = {http://adsabs.harvard.edu/abs/2002PhRvD..66d1303G},
author = {Gressman, P. and Lin, L.-M. and Suen, W.-M. and Stergioulas, N. and Friedman, J. L.},
cited = {27 March 2003},
doi = {10.1103/PhysRevD.66.041303},
eid = {041303},
eprint = {arXiv:gr-qc/0301014},
journal = {Phys. Rev. D},
keywords = {Neutron stars},
onlineversion = {http://arXiv.org/abs/gr-qc/0301014},
pages = {1--5},
title = {Nonlinear $r$-modes in neutron stars: Instability of an unstable mode},
volume = {66},
year = {2002}
}
@article{gundlach,
archiveprefix = {arXiv},
author = {Gundlach, C. and Mart{\'{\i}}n-Garc{\'{\i}}a, J. M.},
cited = {20 December 2007},
eid = {lrr-2007-5},
eprint = {0711.4620},
journal = {Living Rev. Relativity},
keywords = {Gravitational collapse, Critical phenomena},
primaryclass = {gr-qc},
title = {Critical Phenomena in Gravitational Collapse},
url = {http://www.livingreviews.org/lrr-2007-5},
volume = {10},
year = {2007}
}
@article{harten83,
author = {Harten, A. and Lax, P. D. and van Leer, B.},
doi = {10.1137/1025002},
journal = {SIAM Rev.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods},
pages = {35--61},
title = {On upstream differencing and Godunov-type schemes for hyperbolic conservation laws},
volume = {25},
year = {1983}
}
@article{harten84,
author = {Harten, A.},
doi = {10.1137/0721001},
journal = {SIAM J. Numer. Anal.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods},
pages = {1--23},
title = {On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes},
volume = {21},
year = {1984}
}
@article{harten87,
author = {Harten, A. and Engquist, B. and Osher, S. and Chakrabarthy, S. R.},
doi = {10.1016/0021-9991(87)90031-3},
journal = {J. Comput. Phys.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods},
pages = {231--303},
title = {Uniformly High Order Accurate Essentially Non-oscillatory Schemes, III},
volume = {71},
year = {1987}
}
@article{haugan82,
author = {Haugan, M. P. and Shapiro, S. L. and Wasserman, I.},
doi = {10.1086/159987},
journal = {Astrophys. J.},
keywords = {Accretion, Approximation methods, Black holes, Gravitational radiation},
pages = {283--290},
title = {The suppression of gravitational radiation from finite-size stars falling into black holes},
volume = {257},
year = {1982}
}
@article{hawke05,
author = {Hawke, I. and L{\"{o}}ffler, F. and Nerozzi, A.},
cited = {15 September 2007},
eid = {104006},
journal = {Phys. Rev. D},
keywords = {Relativistic hydrodynamics, Finite difference methods, Numerical methods},
onlineversion = {http://arXiv.org/abs/gr-qc/0501054},
pages = {1--12},
title = {Excision methods for high resolution shock capturing schemes applied to general relativistic hydrodynamics},
volume = {71},
year = {2005}
}
@article{hawley84a,
adsurl = {http://adsabs.harvard.edu/abs/1984ApJ...277..296H},
author = {Hawley, J. F. and Smarr, L. L. and Wilson, J. R.},
doi = {10.1086/161696},
journal = {Astrophys. J.},
keywords = {Accretion, Black holes, Computational fluid dynamics, Differential equations, Finite difference methods, Finite volume methods, Numerical methods, Relativistic hydrodynamics},
pages = {296--311},
title = {A numerical study of nonspherical black hole accretion. I. Equations and test problems},
volume = {277},
year = {1984}
}
@article{hawley84b,
adsurl = {http://adsabs.harvard.edu/abs/1984ApJS...55..211H},
author = {Hawley, J. F. and Smarr, L. L. and Wilson, J. R.},
doi = {10.1086/190953},
journal = {Astrophys. J. Suppl. Ser.},
keywords = {Black holes, Computational fluid dynamics, Relativistic hydrodynamics, Accretion, Finite difference methods, Finite volume methods, Numerical methods},
pages = {211--246},
title = {A numerical study of nonspherical black hole accretion. II. Finite differencing and code calibration},
volume = {55},
year = {1984}
}
@inproceedings{hawley86,
address = {Cambridge, U.K.; New York, U.S.A.},
author = {Hawley, J. F.},
booktitle = {Dynamical Spacetimes and Numerical Relativity},
conference = {Proceedings of the Workshop on Dynamical Spacetimes and Numerical Relativity held at Drexel University on October 7--11, 1985},
editor = {Centrella, J. M.},
keywords = {Accretion, Black holes, Finite difference methods, Numerical methods, Numerical relativistic hydrodynamics},
pages = {101--122},
publisher = {Cambridge University Press},
title = {General relativistic hydrodynamics near black holes},
year = {1986}
}
@article{hawley91,
adsurl = {http://adsabs.harvard.edu/abs/1991ApJ...381..496H},
author = {Hawley, J. F.},
doi = {10.1086/170673},
journal = {Astrophys. J.},
keywords = {Accretion, Black holes, Computational fluid dynamics, Relativistic hydrodynamics},
pages = {496--507},
title = {Three-dimensional simulations of black hole tori},
volume = {381},
year = {1991}
}
@article{hawley06,
adsurl = {http://adsabs.harvard.edu/abs/2006ApJ...641..103H},
archiveprefix = {arXiv},
author = {Hawley, J. F. and Krolik, J. H.},
cited = {15 September 2007},
doi = {10.1086/500385},
eprint = {astro-ph/0512227},
journal = {Astrophys. J.},
keywords = {Accretion, Numerical relativistic magnetohydrodynamics, Black holes, Extragalactic jets},
onlineversion = {http://arXiv.org/abs/astro-ph/0512227},
pages = {103--116},
title = {Magnetically Driven Jets in the Kerr Metric},
volume = {641},
year = {2006}
}
@article{heger05,
adsurl = {http://adsabs.harvard.edu/abs/2005ApJ...626..350H},
author = {Heger, A. and Woosley, S. E. and Spruit, H. C.},
cited = {15 November 2007},
doi = {10.1086/429868},
journal = {Astrophys. J.},
keywords = {Stellar evolution, Supernovae, Magnetohydrodynamics (MHD)},
onlineversion = {http://arXiv.org/abs/astro-ph/0409422},
pages = {350--363},
title = {Presupernova Evolution of Differentially Rotating Massive Stars Including Magnetic Fields},
volume = {626},
year = {2005}
}
@article{hirose04,
author = {Hirose, S. and Krolik, J. H. and De Villiers, J.-P. and Hawley},
cited = {5 September 2007},
doi = {10.1086/383184},
journal = {Astrophys. J.},
keywords = {Numerical relativistic magnetohydrodynamics, Accretion, Black holes},
onlineversion = {http://arXiv.org/abs/astro-ph/0311500},
pages = {1083-1097},
title = {Magnetically Driven Accretion Flows in the Kerr Metric. II. Structure of the magnetic field},
volume = {606},
year = {2004}
}
@article{honkkila07,
author = {Honkkila, V. and Janhunen, P.},
doi = {10.1016/j.jcp.2006.09.027},
journal = {J. Comput. Phys.},
keywords = {Computational fluid dynamics, Numerical relativistic magnetohydrodynamics, Finite difference methods, Finite volume methods, Hyperbolic equations},
pages = {643--656},
title = {HLLC solver for ideal relativistic MHD},
volume = {223},
year = {2007}
}
@article{hoyle39,
author = {Hoyle, F. and Lyttleton, R. A.},
doi = {10.1017/S0305004100021150},
journal = {Proc. Cambridge Philos. Soc.},
keywords = {Accretion},
pages = {405--415},
title = {The Effect of Interstellar Matter on Climatic Variation},
volume = {35},
year = {1939}
}
@inproceedings{ibanez92,
address = {Cambridge, U.K.},
author = {Ib{\'{a}}{\~{n}}ez, J. M. and Mart{\'{\i}}, J. M. and Miralles, J. A. and Romero, J. V.},
booktitle = {Approaches to numerical relativity},
editor = {d'Inverno, R.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Gravitational collapse, Hyperbolic equations, Numerical methods, Numerical relativity, Relativistic hydrodynamics},
pages = {223--229},
publisher = {Cambridge University Press},
title = {Godunov-type methods applied to general relativistic stellar collapse},
year = {1992}
}
@article{ibanez99,
author = {Ib{\'{a}}{\~{n}}ez, J. M. and Mart{\'{\i}}, J. M.},
doi = {10.1016/S0377-0427(99)00158-2},
journal = {J. Comput. Appl. Math.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods, Numerical relativistic hydrodynamics, Relativistic astrophysics, Relativistic hydrodynamics},
pages = {173--211},
title = {Riemann solvers in relativistic astrophysics},
volume = {109},
year = {1999}
}
@inproceedings{ibanez99b,
address = {New York, U.S.A.; London, U.K.},
author = {Ib{\'{a}}{\~{n}}ez, J. M. and Aloy, M. A. and Font, J. A. and Mart{\'{\i}}, J. M. and Miralles, J. A. and Pons, J. A.},
booktitle = {Godunov Methods: Theory and Applications},
cited = {15 July 2002},
conference = {Proceedings of the International Conference on Godunov Methods, held October 18--22, 1999, in Oxford, U.K., to honor Professor S.K. Godunov in the year of his 70th birthday},
editor = {Toro, E. F.},
keywords = {Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods, Relativistic hydrodynamics},
onlineversion = {http://arXiv.org/abs/astro-ph/9911034},
pages = {485--496},
publisher = {Kluwer Academic/Plenum},
title = {Riemann solvers in general relativistic hydrodynamics},
year = {2001}
}
@article{igumenshchev97,
adsurl = {http://adsabs.harvard.edu/abs/1997MNRAS.284..767I},
author = {Igumenshchev, I. V. and Beloborodov, A. M.},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Accretion, Accretion disks, Black holes, Numerical methods, Numerical relativistic hydrodynamics},
pages = {767--772},
title = {Numerical simulation of thick disc accretion on to a rotating black hole},
volume = {284},
year = {1997}
}
@article{igumenshchev00,
author = {Igumenshchev, I. V. and Abramowicz, M. A. and Narayan, R.},
cited = {15 July 2002},
doi = {10.1086/312755},
journal = {Astrophys. J. Lett.},
keywords = {Accretion},
onlineversion = {http://arXiv.org/abs/astro-ph/0004006},
pages = {L27--L30},
title = {Numerical Simulations of Convective Accretion Flows in Three Dimensions},
volume = {537},
year = {2000}
}
@article{isaacson83,
adsurl = {http://adsabs.harvard.edu/abs/1983JMaPh..24.1824I},
author = {Isaacson, R. A. and Welling, J. S. and Winicour, J.},
doi = {10.1063/1.525904},
journal = {J. Math. Phys.},
keywords = {Einstein equations, Energy and momentum, Gravitational radiation, Initial value problem, Null surfaces, Numerical methods, Numerical relativity},
pages = {1824--1834},
title = {Null cone computation of gravitational radiation},
volume = {24},
year = {1983}
}
@article{janka93,
author = {Janka, H.-T. and Zwerger, T. and M{\"{o}}nchmeyer, R.},
journal = {Astron. Astrophys.},
keywords = {Gravitational collapse, Hydrodynamics, Numerical methods, Shock waves, Supernovae},
pages = {360--368},
title = {Does artificial viscosity destroy prompt type-II supernova explosions?},
volume = {268},
year = {1993}
}
@inproceedings{janka01,
address = {Berlin, Germany; New York, U.S.A.},
author = {Janka, H.-T. and Kifonidis, K. and Rampp, M.},
booktitle = {Physics of Neutron Star Interiors},
cited = {21 June 2002},
conference = {Proceedings of a Workshop on Physics of Neutron Star Interiors (ECT, Trento, June 19\,--\,July 7, 2000)},
editor = {Blaschke, D. and Glendenning, N. K. and Sedrakian, A.},
keywords = {Gravitational collapse, Hydrodynamics, Neutrinos, Nuclear physics, Nucleosynthesis, Supernovae},
onlineversion = {http://arXiv.org/abs/astro-ph/0103015},
pages = {333--363},
publisher = {Springer},
series = {Lecture Notes in Physics},
title = {Supernova explosions and neutron star formation},
volume = {578},
year = {2001}
}
@inproceedings{janka07,
address = {Melville, U.S.A.},
author = {Janka, H.-T. and Marek, A. and Kitaura, F.-S.},
booktitle = {Supernova 1987A - 20 Years After: Supernovae and Gamma-Ray Bursters},
cited = {1 November 2007},
conference = {Aspen, Colorado, 19\,--\,23 February 2007},
editor = {Immler, S. and Weiler, K. and McCray, R.},
keywords = {Hydrodynamics, Gravitational collapse, Supernovae, Nuclear physics, Neutrinos, Nucleosynthesis, Neutron stars},
onlineversion = {http://arXiv.org/abs/0706.3056},
publisher = {American Institute of Physics},
series = {AIP Conference Proceedings},
title = {Neutrino-Driven Explosions Twenty Years After SN 1987A},
volume = {937},
year = {2007}
}
@article{jin07,
author = {Jin, K.-J. and Suen, W.-M.},
cited = {15 November 2007},
doi = {10.1103/PhysRevLett.98.131101},
eid = {131101},
eprint = {gr-qc/0603094},
journal = {Phys. Rev. Lett.},
keywords = {Gravitational collapse, Numerical relativity, Relativistic hydrodynamics, Neutron stars},
onlineversion = {http://arXiv.org/abs/gr-qc/0603094},
title = {Critical Phenomena in Head-on Collisions of Neutron Stars},
volume = {98},
year = {2007}
}
@article{kastaun06,
author = {Kastaun, W.},
eid = {124024},
journal = {Phys. Rev. D},
keywords = {Relativistic hydrodynamics, Computational fluid dynamics, Neutron stars},
pages = {1--15},
title = {High-resolution shock capturing scheme for ideal hydrodynamics in general relativity optimized for quasistationary solutions},
volume = {74},
year = {2006}
}
@article{kheyfets90,
author = {Kheyfets, A. and Miller, W. A. and Zurek, W. H.},
journal = {Phys. Rev. D},
keywords = {Computational fluid dynamics, Numerical methods, Relativistic hydrodynamics, Smoothed particle methods},
pages = {451--454},
title = {Covariant smoothed particle hydrodynamics on a curved background},
volume = {41},
year = {1990}
}
@article{kifonidis99,
author = {Kifonidis, K. and Plewa, T. and Janka, H.-T. and M{\"{u}}ller, E.},
cited = {15 February 2000},
doi = {10.1086/312541},
journal = {Astrophys. J. Lett.},
keywords = {Computational fluid dynamics, Gravitational collapse, Hydrodynamics, Neutrinos, Nuclear physics, Nucleosynthesis, Supernovae},
onlineversion = {http://arXiv.org/abs/astro-ph/9911183},
pages = {L123--L126},
title = {Nucleosynthesis and clump formation in a core collapse supernova},
volume = {531},
year = {2000}
}
@article{kitaura06,
adsurl = {http://adsabs.harvard.edu/abs/2006A&A...450..345K},
author = {Kitaura, F. S. and Janka, H.-T. and Hillebrandt, W.},
cited = {1 November 2007},
doi = {10.1051/0004-6361:20054703},
journal = {Astron. Astrophys.},
keywords = {Hydrodynamics, Gravitational collapse, Supernovae, Nuclear physics, Neutrinos, Nucleosynthesis},
onlineversion = {http://arXiv.org/abs/astro-ph/0512065},
pages = {345--350},
title = {Explosions of O-Ne-Mg cores, the Crab supernova, and subluminous type II-P supernovae},
volume = {450},
year = {2006}
}
@article{kley98,
author = {Kley, W. and Sch{\"{a}}fer, G.},
cited = {15 February 2000},
eid = {027501},
journal = {Phys. Rev. D},
keywords = {Accretion disks, Einstein equations, Numerical relativity, Post-Newtonian approximations},
onlineversion = {http://arXiv.org/abs/gr-qc/9812068},
pages = {1--4},
title = {Relativistic dust disks and the Wilson--Mathews approach},
volume = {60},
year = {1999}
}
@article{koide98,
adsurl = {http://adsabs.harvard.edu/abs/1998ApJ...495L..63K},
author = {Koide, S. and Shibata, K. and Kudoh, T.},
doi = {10.1086/311204},
journal = {Astrophys. J. Lett.},
keywords = {Active galactic nuclei, Black holes, Computational fluid dynamics, Extragalactic jets, Finite difference methods, Finite volume methods, Hyperbolic equations, Relativistic astrophysics, Relativistic hydrodynamics, Relativistic magnetohydrodynamics},
pages = {L63},
title = {General Relativistic Magnetohydrodynamic Simulations of Jets from Black Hole Accretions Disks: Two-Component Jets Driven by Nonsteady Accretion of Magnetized Disks},
volume = {495},
year = {1998}
}
@article{koide00,
author = {Koide, S. and Meier, D. L. and Shibata, K. and Kudoh, T.},
cited = {15 July 2002},
doi = {10.1086/308986},
journal = {Astrophys. J.},
keywords = {Active galactic nuclei, Black holes, Computational fluid dynamics, Extragalactic jets, Relativistic astrophysics, Relativistic hydrodynamics, Relativistic magnetohydrodynamics},
onlineversion = {http://arXiv.org/abs/astro-ph/9907435},
pages = {668--674},
title = {General relativistic simulations of early jet formation in a rapidly rotating black hole magnetosphere},
volume = {536},
year = {2000}
}
@article{koide02a,
author = {Koide, S. and Shibata, K. and Kudoh, T. and Meier, D. L.},
doi = {10.1126/science.1068240},
journal = {Science},
keywords = {Active galactic nuclei, Black holes, Computational fluid dynamics, Extragalactic jets, Finite difference methods, Finite volume methods, Relativistic astrophysics, Relativistic hydrodynamics, Relativistic magnetohydrodynamics},
pages = {1688--1691},
title = {Extraction of black hole rotational energy by a magnetic field and the formation of relativistic jets},
volume = {295},
year = {2002}
}
@article{koide03,
author = {Koide, S.},
eid = {104010},
journal = {Phys. Rev. D},
keywords = {Black holes, Relativistic astrophysics, Numerical relativistic magnetohydrodynamics, Active galactic nuclei, Extragalactic jets},
pages = {1--15},
title = {Magnetic extraction of black hole rotational energy: Method and results of general relativistic magnetohydrodynamic simulations in Kerr space-time},
volume = {67},
year = {2003}
}
@article{koldoba02,
author = {Koldoba, A. V. and Kuznetsov, O. A. and Ustyugova, G. V.},
doi = {10.1046/j.1365-8711.2002.05474.x},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Numerical relativistic magnetohydrodynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods},
pages = {932--942},
title = {An approximate Riemann solver for relativistic magnetohydrodynamics},
volume = {333},
year = {2002}
}
@article{komissarov99,
author = {Komissarov, S. S.},
doi = {10.1046/j.1365-8711.1999.02244.x},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods, Relativistic hydrodynamics, Relativistic magnetohydrodynamics},
pages = {343--366},
title = {A Godunov-Type Scheme for Relativistic Magnetohydrodynamics},
volume = {303},
year = {1999}
}
@article{komissarov04,
adsurl = {http://adsabs.harvard.edu/abs/2004MNRAS.350.1431K},
author = {Komissarov, S. S.},
cited = {5 September 2007},
doi = {10.1111/j.1365-2966.2004.07738.x},
eprint = {astro-ph/0402430},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Numerical relativistic magnetohydrodynamics, Black holes, Accretion disks},
onlineversion = {http://arXiv.org/abs/astro-ph/0402430},
pages = {1431--1436},
title = {General relativistic magnetohydrodynamic simulations of monopole magnetospheres of black holes},
volume = {350},
year = {2004}
}
@article{komissarov04b,
author = {Komissarov, S. S. and Lyubarsky, Y. E.},
doi = {10.1111/j.1365-2966.2004.07597.x},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Numerical relativistic magnetohydrodynamics, Neutron stars},
pages = {779--792},
title = {Synchrotron nebulae created by anisotropic magnetized pulsar winds},
volume = {349},
year = {2004}
}
@article{komissarov05,
adsurl = {http://adsabs.harvard.edu/abs/2005MNRAS.359..801K},
author = {Komissarov, S. S.},
cited = {5 July 2007},
doi = {10.1111/j.1365-2966.2005.08974.x},
eprint = {astro-ph/0501599},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Numerical relativistic magnetohydrodynamics, Black holes, Accretion disks},
onlineversion = {http://arXiv.org/abs/astro-ph/0501599},
pages = {801--808},
title = {Observations of the Blandford--Znajek process and the magnetohydrodynamic Penrose process in computer simulations of black hole magnetospheres},
volume = {359},
year = {2005}
}
@article{komissarov06,
adsurl = {http://adsabs.harvard.edu/abs/2006MNRAS.368..993K},
author = {Komissarov, S. S.},
cited = {5 July 2007},
doi = {10.1111/j.1365-2966.2006.10183.x},
eprint = {astro-ph/0601678},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Numerical relativistic magnetohydrodynamics, Black holes, Accretion disks},
onlineversion = {http://arXiv.org/abs/astro-ph/0601678},
pages = {993--1000},
title = {Magnetized tori around Kerr black holes: analytic solutions with a toroidal magnetic field},
volume = {368},
year = {2006}
}
@article{komissarov06b,
author = {Komissarov, S. S.},
cited = {5 September 2007},
doi = {10.1111/j.1365-2966.2005.09932.x},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Numerical relativistic magnetohydrodynamics, Neutron stars},
onlineversion = {http://arXiv.org/abs/astro-ph/0510310},
pages = {19--31},
title = {Simulations of the axisymmetric magnetospheres of neutron stars},
volume = {367},
year = {2006}
}
@article{komissarov07,
adsurl = {http://adsabs.harvard.edu/abs/2007MNRAS.377L..49K},
author = {Komissarov, S. S. and McKinney, J. C.},
cited = {5 September 2007},
doi = {10.1111/j.1745-3933.2007.00301.x},
eprint = {astro-ph/0702269},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Numerical relativistic magnetohydrodynamics, Black holes, Accretion disks, Extragalactic jets},
onlineversion = {http://arXiv.org/abs/astro-ph/0702269},
pages = {L49--L53},
title = {The `Meissner effect' and the Blandford--Znajek mechanism in conductive black hole magnetospheres},
volume = {377},
year = {2007}
}
@preprint{komissarov07b,
author = {Komissarov, S. S.},
cited = {10 October 2007},
format = {arxiv},
keywords = {Numerical relativistic magnetohydrodynamics},
title = {Multi-dimensional Numerical Scheme for Resistive Relativistic MHD},
url = {http://arXiv.org/abs/0708.0323},
year = {2007}
}
@article{kormendy95,
adsurl = {http://adsabs.harvard.edu/abs/1995ARA&A..33..581K},
author = {Kormendy, J. and Richstone, D.},
doi = {10.1146/annurev.aa.33.090195.003053},
journal = {Annu. Rev. Astron. Astrophys.},
keywords = {Active galactic nuclei, Black holes, Relativistic astrophysics},
pages = {581},
title = {Inward Bound -- The Search For Supermassive Black Holes In Galactic Nuclei},
volume = {33},
year = {1995}
}
@article{kotake03,
adsurl = {http://adsabs.harvard.edu/abs/2003PhRvD..68d4023K},
author = {Kotake, K. and Yamada, S. and Sato, K.},
cited = {5 November 2007},
doi = {10.1103/PhysRevD.68.044023},
eid = {044023},
journal = {Phys. Rev. D},
keywords = {Hydrodynamics, Neutron stars, Gravitational collapse, Supernovae, Neutrinos, Nuclear physics, Gravitational waves},
onlineversion = {http://arXiv.org/abs/astro-ph/0306430},
title = {Gravitational radiation from axisymmetric rotational core collapse},
volume = {68},
year = {2003}
}
@article{kotake04,
adsurl = {http://adsabs.harvard.edu/abs/2004PhRvD..69l4004K},
author = {Kotake, K. and Yamada, S. and Sato, K. and Sumiyoshi, K. and Ono, H. and Suzuki, H.},
cited = {5 November 2007},
doi = {10.1103/PhysRevD.69.124004},
eid = {124004},
journal = {Phys. Rev. D},
keywords = {Neutron stars, Gravitational collapse, Supernovae, Neutrinos, Nuclear physics, Gravitational waves, Magnetohydrodynamics (MHD)},
onlineversion = {http://arXiv.org/abs/astro-ph/0401563},
pages = {1--11},
title = {Gravitational radiation from rotational core collapse: Effects of magnetic fields and realistic equations of state},
volume = {69},
year = {2004}
}
@article{krolik05,
author = {Krolik, J. H. and Hawley, J. F. and Hirose, S.},
cited = {5 July 2007},
doi = {10.1086/427932},
journal = {Astrophys. J.},
keywords = {Numerical relativistic magnetohydrodynamics, Black holes, Accretion disks},
onlineversion = {http://arXiv.org/abs/astro-ph/0409231},
pages = {1008--1023},
title = {Magnetically driven accretion flows in the Kerr metric. IV. Dynamical properties of the inner disk},
volume = {622},
year = {2005}
}
@article{kurganov00,
author = {Kurganov, A. and Tadmor, E.},
doi = {10.1006/jcph.2000.6459},
journal = {J. Comput. Phys.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Numerical methods},
pages = {241--282},
title = {New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations},
volume = {160},
year = {2000}
}
@article{laguna93a,
author = {Laguna, P. and Miller, W. A. and Zurek, W. H.},
doi = {10.1086/172321},
journal = {Astrophys. J.},
keywords = {Black holes, Computational fluid dynamics, Numerical methods, Relativistic hydrodynamics, Smoothed particle methods},
pages = {678--685},
title = {Smoothed particle hydrodynamics near a black hole},
volume = {404},
year = {1993}
}
@article{laguna93b,
author = {Laguna, P. and Miller, W. A. and Zurek, W. H. and Davies, M. B.},
doi = {10.1086/186885},
journal = {Astrophys. J.},
keywords = {Black holes, Computational fluid dynamics, Numerical methods, Relativistic hydrodynamics, Smoothed particle methods},
pages = {L83--L86},
title = {Tidal disruptions by supermassive black holes: Hydrodynamic evolution of stars on a Schwarzschild background},
volume = {410},
year = {1993}
}
@article{lattimer91,
adsurl = {http://adsabs.harvard.edu/abs/abs/1991NuPhA.535..331L},
author = {Lattimer, J. M. and Swesty, F. D.},
doi = {10.1016/0375-9474(91)90452-C},
journal = {Nucl. Phys. A},
keywords = {Nuclear physics, Neutron stars},
pages = {331--376},
title = {A generalized equation of state for hot, dense matter},
volume = {535},
year = {1991}
}
@article{lax60,
author = {Lax, P. D. and Wendroff, B.},
doi = {10.1002/cpa.3160130205},
journal = {Commun. Pure Appl. Math.},
keywords = {Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods},
pages = {217--237},
title = {Systems of conservation laws},
volume = {13},
year = {1960}
}
@book{lax72,
address = {Philadelphia, U.S.A.},
author = {Lax, P. D.},
gbs_id = {NcoZxWlPpdwC},
keywords = {Numerical methods, Hyperbolic equations, Finite difference methods, Finite volume methods, Shock waves},
publisher = {Society for Industrial and Applied Mathematics},
series = {CBMS-NSF Regional Conference Series in Applied Mathematics},
title = {Hyperbolic systems of conservation laws and the mathematical theory of shock waves},
volume = {11},
year = {1973}
}
@article{lehner,
author = {Lehner, L.},
cited = {11 September 2002},
doi = {10.1088/0264-9381/18/17/202},
eprint = {gr-qc/0106072},
journal = {Class. Quantum Grav.},
keywords = {Numerical relativity},
onlineversion = {http://arXiv.org/abs/gr-qc/0106072},
pages = {R25--R86},
title = {Numerical relativity: a review},
volume = {18},
year = {2001}
}
@book{leveque92,
address = {Basel, Switzerland; Boston, U.S.A.},
author = {LeVeque, R. J.},
edition = {2nd},
gbs_id = {3WhqLPcMdPsC},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods},
publisher = {Birkh\"{a}user},
title = {Numerical Methods for Conservation Laws},
year = {1992}
}
@inproceedings{leveque98,
address = {Berlin, Germany; New York, U.S.A.},
author = {LeVeque, R. J.},
booktitle = {Computational Methods for Astrophysical Fluid Flow},
conference = {Lecture Notes of the Saas-Fee Advanced Course 27, Les Diablerets, Switzerland, March 3--8, 1997},
editor = {LeVeque, R. J. and Mihalas, D. and Dorfi, E. A. and M{\"{u}}ller, E. and Steiner, O. and Gautschy, A.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods},
pages = {1--159},
publisher = {Springer},
series = {Saas-Fee Advanced Courses},
title = {Nonlinear Conservation Laws and Finite Volume Methods for Astrophysical Fluid Flow},
volume = {27},
year = {1998}
}
@book{lichnerowicz67,
address = {New York},
author = {Lichnerowicz, A.},
keywords = {Relativistic hydrodynamics, Numerical relativistic magnetohydrodynamics, Hyperbolic equations},
publisher = {Benjamin},
title = {Relativistic hydrodynamics and magnetohydrodynamics},
year = {1967}
}
@article{liebendoerfer01,
author = {Liebend{\"{o}}rfer, M. and Mezzacappa, A. and Thielemann, F.-K. and Messer, O. E. B. and Hix, W. R. and Bruenn, S. W.},
cited = {21 June 2002},
eid = {103004},
journal = {Phys. Rev. D},
keywords = {Gravitational collapse, Neutrinos, Nuclear physics, Supernovae},
onlineversion = {http://arXiv.org/abs/astro-ph/0006418},
pages = {1--13},
title = {Probing the gravitational well: No supernova explosion in spherical symmetry with general relativistic Boltzmann neutrino transport},
volume = {63},
year = {2001}
}
@article{liebendoerfer05,
author = {Liebend{\"{o}}rfer, M.},
cited = {21 September 2007},
doi = {10.1086/466517},
journal = {Astrophys. J.},
keywords = {Gravitational collapse, Supernovae, Neutrinos, Nuclear physics},
onlineversion = {http://arXiv.org/abs/astro-ph/0504072},
pages = {1042--1051},
title = {A Simple Parameterization of the Consequences of Deleptonization for Simulations of Stellar Core Collapse},
volume = {633},
year = {2005}
}
@article{liebendoerfer05b,
author = {Liebend{\"{o}}rfer, M. and Rampp, M. and Janka, H.-T. and Mezzacappa, A.},
cited = {1 November 2007},
doi = {10.1086/427203},
journal = {Astrophys. J.},
keywords = {Gravitational collapse, Supernovae, Neutrinos, Nuclear physics},
onlineversion = {http://arXiv.org/abs/astro-ph/0310662},
pages = {840--860},
title = {Supernova Simulations with Boltzmann Neutrino Transport: A Comparison of Methods},
volume = {620},
year = {2005}
}
@article{lindblom01a,
adsurl = {http://adsabs.harvard.edu/abs/2001PhRvL..86.1152L},
author = {Lindblom, L. and Tohline, J. E. and Vallisneri, M.},
cited = {15 July 2002},
doi = {10.1103/PhysRevLett.86.1152},
eprint = {arXiv:astro-ph/0010653},
journal = {Phys. Rev. Lett.},
keywords = {Neutron stars},
onlineversion = {http://arXiv.org/abs/astro-ph/0010653},
pages = {1152--1155},
title = {Nonlinear Evolution of the $r$-Modes in Neutron Stars},
volume = {86},
year = {2001}
}
@article{linke01a,
adsurl = {http://adsabs.harvard.edu/abs/2001A&A...376..568L},
archiveprefix = {arXiv},
author = {Linke, F. and Font, J. A. and Janka, H.-T. and M{\"{u}}ller, E. and Papadopoulos, P.},
cited = {13 June 2002},
doi = {10.1051/0004-6361:20010993},
eprint = {astro-ph/0103144},
journal = {Astron. Astrophys.},
keywords = {Black holes, Einstein equations, Gamma-ray bursts, Gravitational collapse, Initial value problem, Null surfaces, Numerical relativistic hydrodynamics, Numerical relativity},
onlineversion = {http://arXiv.org/abs/astro-ph/0103144},
pages = {568--579},
title = {Spherical collapse of supermassive stars: Neutrino emission and gamma-ray bursts},
volume = {376},
year = {2001}
}
@article{liu98,
author = {Liu, X. D. and Osher, S.},
doi = {10.1006/jcph.1998.5937},
journal = {J. Comput. Phys.},
keywords = {Numerical methods, Finite difference methods, Computational fluid dynamics},
pages = {304--330},
title = {Convex ENO high order multi-dimensional schemes without field by field decomposition or staggered grids},
volume = {142},
year = {1998}
}
@article{loeffler06,
adsurl = {http://adsabs.harvard.edu/abs/2006PhRvD..74j4018L},
archiveprefix = {arXiv},
author = {L{\"{o}}ffler, F. and Rezzolla, L. and Ansorg, M.},
cited = {1 September 2007},
doi = {10.1103/PhysRevD.74.104018},
eid = {104018},
eprint = {gr-qc/0606104},
journal = {Phys. Rev. D},
keywords = {Relativistic hydrodynamics, Numerical relativity, Neutron stars, Black holes},
onlineversion = {http://arXiv.org/abs/gr-qc/0606104},
primaryclass = {gr-qc},
title = {Numerical evolutions of a black hole-neutron star system in full general relativity: Head-on collision},
volume = {74},
year = {2006}
}
@article{londrillo04,
author = {Londrillo, P. and Del Zanna, L.},
cited = {1 July 2007},
doi = {10.1016/j.jcp.2003.09.016},
journal = {J. Comput. Phys.},
keywords = {Numerical methods, Finite difference methods, Magnetohydrodynamics (MHD)},
onlineversion = {http://arXiv.org/abs/astro-ph/0310183},
pages = {17--48},
title = {On the divergence-free condition in Godunov-type schemes for ideal magnetohydrodynamics: the upwind constrained transport method},
volume = {195},
year = {2004}
}
@article{lucas-serrano04,
author = {Lucas-Serrano, A. and Font, J. A. and Ib{\'{a}}{\~{n}}ez, J. M. and Mart{\'{\i}}, J. M.},
cited = {1 September 2007},
doi = {10.1051/0004-6361:20035731},
journal = {Astron. Astrophys.},
keywords = {Numerical methods, Relativistic hydrodynamics, Finite difference methods},
onlineversion = {http://arXiv.org/abs/astro-ph/0407541},
pages = {703--715},
title = {Assessment of a high-resolution central scheme for the solution of the relativistic hydrodynamic equations},
volume = {428},
year = {2004}
}
@article{lucy77,
adsurl = {http://adsabs.harvard.edu/abs/1977AJ.....82.1013L},
author = {Lucy, L. B.},
doi = {10.1086/112164},
journal = {Astron. J.},
keywords = {Computational fluid dynamics, Dynamical systems, Numerical methods, Smoothed particle hydrodynamics},
pages = {1013--1024},
title = {A numerical approach to the testing of the fission hypothesis},
volume = {82},
year = {1977}
}
@article{mann91,
author = {Mann, P. J.},
doi = {10.1016/0010-4655(91)90020-L},
journal = {Comput. Phys. Commun.},
keywords = {Computational fluid dynamics, Numerical methods, Relativistic hydrodynamics, Smoothed particle methods},
pages = {245--260},
title = {A relativistic smoothed particle hydrodynamics method tested with the shock tube},
volume = {67},
year = {1991}
}
@article{marek06,
author = {Marek, A. and Dimmelmeier, H. and Janka, H.-T. and M{\"{u}}ller, E. and Buras, R.},
cited = {15 September 2007},
doi = {10.1051/0004-6361:20052840},
journal = {Astron. Astrophys.},
keywords = {Hydrodynamics, Neutron stars, Relativistic stars, Gravitational radiation, Gravitational collapse, Supernovae},
onlineversion = {http://arXiv.org/abs/astro-ph/0502161},
pages = {273--289},
title = {Exploring the relativistic regime with Newtonian hydrodynamics: an improved effective gravitational potential for supernova simulations},
volume = {445},
year = {2006}
}
@article{marronetti04,
author = {Marronetti, P. and Duez, M. D. and Shapiro, S. L. and Baumgarte, T. W.},
cited = {15 September 2007},
doi = {10.1103/PhysRevLett.92.141101},
eid = {141101},
journal = {Phys. Rev. Lett.},
keywords = {Relativistic hydrodynamics, Numerical relativity, Binary systems, Neutron stars},
onlineversion = {http://arXiv.org/abs/gr-qc/0312036},
title = {Dynamical Determination of the Innermost Stable Circular Orbit of Binary Neutron Stars},
volume = {92},
year = {2004}
}
@article{marti90,
author = {Mart{\'{\i}}, J. M. and Ib{\'{a}}{\~{n}}ez, J. M. and Miralles, J. A.},
journal = {Astron. Astrophys.},
keywords = {Gravitational collapse, Hydrodynamics, Numerical methods, Shock waves, Supernovae},
pages = {535--542},
title = {Godunov-type methods for stellar collapse},
volume = {235},
year = {1990}
}
@article{marti91,
adsurl = {http://adsabs.harvard.edu/abs/1991PhRvD..43.3794M},
author = {Mart{\'{\i}}, J. M. and Ib{\'{a}}{\~{n}}ez, J. M. and Miralles, J. A.},
doi = {10.1103/PhysRevD.43.3794},
journal = {Phys. Rev. D},
keywords = {Numerical methods, Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical relativity, Relativistic hydrodynamics},
pages = {3794--3801},
title = {Numerical relativistic hydrodynamics: Local characteristic approach},
volume = {43},
year = {1991}
}
@phdthesis{marti91b,
address = {Valencia, Spain},
author = {Mart{\'{\i}}, J. M.},
format = {phd},
keywords = {Differential equations, Einstein equations, Finite difference methods, Finite volume methods, Gravitational collapse, Hyperbolic equations, Numerical methods, Numerical relativistic hydrodynamics, Numerical relativity, Supernovae},
school = {Universidad de Valencia},
title = {Hidrodin\'{a}mica relativista num\'{e}rica: aplicaciones al colapso estelar},
year = {1991}
}
@article{marti94,
author = {Mart{\'{\i}}, J. M. and M{\"{u}}ller, E.},
doi = {10.1017/S0022112094003344},
journal = {J. Fluid Mech.},
keywords = {Initial value problem, Relativistic hydrodynamics, Shock waves},
pages = {317--333},
title = {The analytical solution of the Riemann problem in relativistic hydrodynamics},
volume = {258},
year = {1994}
}
@article{marti96,
author = {Mart{\'{\i}}, J. M. and M{\"{u}}ller, E.},
doi = {10.1006/jcph.1996.0001},
journal = {J. Comput. Phys.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods, Relativistic hydrodynamics},
pages = {1--14},
title = {Extension of the piecewise parabolic method to one-dimensional relativistic hydrodynamics},
volume = {123},
year = {1996}
}
@article{marti97,
author = {Mart{\'{\i}}, J. M. and M{\"{u}}ller, E. and Font, J. A. and Ib{\'{a}}{\~{n}}ez, J. M. and Marquina, A.},
doi = {10.1086/303842},
journal = {Astrophys. J.},
keywords = {Active galactic nuclei, Computational fluid dynamics, Extragalactic jets, Finite difference methods, Finite volume methods, Hyperbolic equations, Relativistic astrophysics, Relativistic hydrodynamics},
pages = {151--163},
title = {Morphology and dynamics of relativistic jets},
volume = {479},
year = {1997}
}
@article{marti03,
author = {Mart{\'{\i}}, J. M. and M{\"{u}}ller, E.},
cited = {1 July 2007},
eid = {lrr-2003-7},
journal = {Living Rev. Relativity},
keywords = {Relativistic hydrodynamics, Numerical methods, Finite difference methods, Finite volume methods, Smoothed particle hydrodynamics, Gamma-ray bursts, Extragalactic jets},
title = {Numerical Hydrodynamics in Special Relativity},
url = {http://www.livingreviews.org/lrr-2003-7},
volume = {6},
year = {2003}
}
@article{mathews99,
adsurl = {http://adsabs.harvard.edu/abs/2000PhRvD..61l7304M},
archiveprefix = {arXiv},
author = {Mathews, G. J. and Wilson, J. R.},
cited = {15 February 2000},
doi = {10.1103/PhysRevD.61.127304},
eid = {127304},
eprint = {gr-qc/9911047},
journal = {Phys. Rev. D},
keywords = {Binary systems, Computational fluid dynamics, Einstein equations, Neutron stars, Nuclear physics, Numerical relativistic hydrodynamics, Post-Newtonian approximations, Relativistic hydrodynamics},
onlineversion = {http://arXiv.org/abs/gr-qc/9911047},
primaryclass = {gr-qc},
title = {Revised relativistic hydrodynamical model for neutron star binaries},
volume = {61},
year = {2000}
}
@article{may66,
adsurl = {http://adsabs.harvard.edu/abs/1966PhRv..141.1232M},
author = {May, M. M. and White, R. H.},
doi = {10.1103/PhysRev.141.1232},
journal = {Phys. Rev.},
keywords = {Differential equations, Einstein equations, Gravitational collapse, Numerical methods, Relativistic hydrodynamics},
pages = {1232--1241},
title = {Hydrodynamic Calculations of General-Relativistic Collapse},
volume = {141},
year = {1966}
}
@article{may67,
author = {May, M. M. and White, R. H.},
journal = {Methods Comput. Phys.},
keywords = {Differential equations, Einstein equations, Gravitational collapse, Numerical methods, Relativistic hydrodynamics},
pages = {219--258},
title = {Stellar dynamics and gravitational collapse},
volume = {7},
year = {1967}
}
@article{mckinney04,
adsurl = {http://adsabs.harvard.edu/abs/2004ApJ...611..977M},
archiveprefix = {arXiv},
author = {McKinney, J. C. and Gammie, C. F.},
cited = {5 November 2007},
doi = {10.1086/422244},
eprint = {astro-ph/0404512},
journal = {Astrophys. J.},
keywords = {Numerical relativistic magnetohydrodynamics, Black holes, Accretion, Extragalactic jets, Gamma-ray bursts},
onlineversion = {http://arXiv.org/abs/astro-ph/0404512},
pages = {977--995},
title = {A Measurement of the Electromagnetic Luminosity of a Kerr Black Hole},
volume = {611},
year = {2004}
}
@article{mckinney06,
adsurl = {http://adsabs.harvard.edu/abs/2006MNRAS.368.1561M},
author = {McKinney, J. C.},
cited = {5 July 2007},
doi = {10.1111/j.1365-2966.2006.10256.x},
eprint = {astro-ph/0603045},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Numerical relativistic magnetohydrodynamics, Black holes, Extragalactic jets, Gamma-ray bursts},
onlineversion = {http://arXiv.org/abs/astro-ph/0603045},
pages = {1561--1582},
title = {General relativistic magnetohydrodynamic simulations of the jet formation and large-scale propagation from black hole accretion systems},
volume = {368},
year = {2006}
}
@article{mckinney06b,
author = {McKinney, J. C.},
cited = {10 July 2008},
doi = {10.1111/j.1365-2966.2006.10087.x},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Numerical relativistic magnetohydrodynamics, Black holes},
onlineversion = {http://arXiv.org/abs/astro-ph/0601411},
pages = {1797--1807},
title = {General relativistic force-free electrodynamics: a new code and applications to black hole magnetospheres},
volume = {367},
year = {2006}
}
@article{meier99a,
author = {Meier, D. L.},
doi = {10.1086/307292},
journal = {Astrophys. J.},
keywords = {Numerical methods, Numerical relativistic hydrodynamics},
pages = {788--813},
title = {Multidimensional astrophysical structural and dynamical analysis. I. Development of a nonlinear finite element approach},
volume = {518},
year = {1999}
}
@article{mezzacappa01,
author = {Mezzacappa, A. and Liebend{\"{o}}rfer, M. and Messer, O. E. B. and Hix, W. R. and Thielemann, F.-K. and Bruenn, S. W.},
cited = {21 June 2002},
doi = {10.1103/PhysRevLett.86.1935},
journal = {Phys. Rev. Lett.},
keywords = {Gravitational collapse, Hydrodynamics, Neutrinos, Supernovae},
onlineversion = {http://arXiv.org/abs/astro-ph/0005366},
pages = {1935--1938},
title = {Simulation of the spherically symmetric stellar core collapse, bounce and postbounce evolution of a 13 solar mass star with Boltzmann neutrino transport and its implications for the supernova mechanism},
volume = {86},
year = {2001}
}
@article{mcabee94,
author = {McAbee, T. L. and Wilson, J. R.},
doi = {10.1016/0375-9474(94)90747-1},
journal = {Nucl. Phys. A},
keywords = {Nuclear physics, Numerical relativistic hydrodynamics},
pages = {626--638},
title = {Mean-field pion calculations of heavy-ion collisions at Bevalac energies},
volume = {576},
year = {1994}
}
@article{michel72,
author = {Michel, F. C.},
doi = {10.1007/BF00649949},
journal = {Astrophys. Space Sci.},
keywords = {Accretion, Relativistic hydrodynamics, Schwarzschild solution},
pages = {153--160},
title = {Accretion of matter by condensed objects},
volume = {15},
year = {1972}
}
@article{mignone07,
author = {Mignone, A. and McKinney, J. C.},
cited = {21 September 2007},
doi = {10.1111/j.1365-2966.2007.11849.x},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Numerical relativistic magnetohydrodynamics, Accretion disks},
onlineversion = {http://arXiv.org/abs/0704.1679},
pages = {1118--1130},
title = {Equation of state in relativistic magnetohydrodynamics: variable versus constant adiabatic index},
volume = {378},
year = {2007}
}
@book{mihalas84,
address = {New York},
adsurl = {http://adsabs.harvard.edu/abs/1984oup..book.....M},
author = {Mihalas, D. and Weibel-Mihalas, B.},
gbs_id = {GVK8AQAAQBAJ},
keywords = {Hydrodynamics, Radiation},
publisher = {Oxford University Press},
title = {Foundations of Radiation Hydrodynamics},
year = {1984}
}
@article{miller06,
author = {Miller, J. M. and Raymond, J. and Fabian, A. C. and Steeghs, D. and Homan, J. and Reynolds, C. S. and van der Klis, M. and Wijnands, R.},
cited = {15 November 2007},
doi = {10.1038/nature04912},
journal = {Nature},
keywords = {Relativistic stars, Relativistic astrophysics, Accretion disks, Black holes},
onlineversion = {http://arXiv.org/abs/astro-ph/0605390},
pages = {953--955},
title = {The magnetic nature of disk accretion onto black holes},
volume = {441},
year = {2006}
}
@article{miller07,
author = {Miller, J. M.},
cited = {15 November 2007},
doi = {10.1146/annurev.astro.45.051806.110555},
journal = {Annu. Rev. Astron. Astrophys.},
keywords = {Relativistic stars, Relativistic astrophysics, Accretion disks, Black holes},
onlineversion = {http://arXiv.org/abs/0705.0540},
pages = {441--479},
title = {Relativistic X-Ray Lines from the Inner Accretion Disks Around Black Holes},
volume = {45},
year = {2007}
}
@article{miller89,
adsurl = {http://adsabs.harvard.edu/abs/1989CQGra...6..185M},
author = {Miller, J. C. and Motta, S.},
doi = {10.1088/0264-9381/6/2/012},
journal = {Class. Quantum Grav.},
keywords = {Black holes, Gravitational collapse, Null surfaces, Numerical relativity},
pages = {185--193},
title = {Computations of spherical gravitational collapse using null slicing},
volume = {6},
year = {1989}
}
@article{miller99,
author = {Miller, M. and Suen, W.-M. and Tobias, M.},
cited = {15 February 2000},
eid = {121501},
journal = {Phys. Rev. D},
keywords = {Gravitational collapse, Neutron stars, Numerical relativistic hydrodynamics, Numerical relativity},
onlineversion = {http://arXiv.org/abs/gr-qc/9904041},
pages = {1--5},
title = {Shapiro conjecture: Prompt or delayed collapse in the head-on collision of neutron stars?},
volume = {63},
year = {2001}
}
@article{miralles91,
author = {Miralles, J. A. and Ib{\'{a}}{\~{n}}ez, J. M. and Mart{\'{\i}}, J. M. and P{\'{e}}rez, A.},
journal = {Astron. Astrophys. Suppl.},
keywords = {Gravitational collapse, Hydrodynamics, Neutron stars, Nuclear physics, Shock waves, Supernovae},
pages = {283--299},
title = {Incompressibility of hot nuclear matter, general relativistic stellar collapse and shock propagation},
volume = {90},
year = {1991}
}
@article{misner64,
author = {Misner, C. W. and Sharp, D. H.},
doi = {10.1103/PhysRev.136.B571},
journal = {Phys. Rev.},
keywords = {Einstein equations, Gravitational collapse, Numerical relativity, Relativistic hydrodynamics, Supernovae},
pages = {B571--B576},
title = {Relativistic equations for adiabatic, spherically symmetric gravitational collapse},
volume = {136},
year = {1964}
}
@article{mizuno04,
author = {Mizuno, Y. and Yamada, S. and Koide, S. and Shibata, K.},
cited = {15 September 2007},
doi = {10.1086/423949},
journal = {Astrophys. J.},
keywords = {Accretion, Accretion disks, Numerical relativistic magnetohydrodynamics, Black holes},
onlineversion = {http://arXiv.org/astro-ph/0310017},
pages = {389--401},
title = {General Relativistic Magnetohydrodynamic Simulations of Collapsars: Rotating Black Hole Cases},
volume = {615},
year = {2004}
}
@preprint{mizuno06,
adsurl = {http://adsabs.harvard.edu/abs/2006astro.ph..9004M},
archiveprefix = {arXiv},
author = {Mizuno, Y. and Nishikawa, K.-I. and Koide, S. and Hardee, P. and Fishman, G. J.},
cited = {31 August 2006},
eprint = {astro-ph/0609004},
keywords = {Numerical relativistic magnetohydrodynamics, Numerical methods},
title = {RAISHIN: A High-Resolution Three-Dimensional General Relativistic Magnetohydrodynamics Code},
year = {2006}
}
@article{monaghan92,
adsurl = {http://adsabs.harvard.edu/abs/1992ARA&A..30..543M},
author = {Monaghan, J. J.},
doi = {10.1146/annurev.aa.30.090192.002551},
journal = {Annu. Rev. Astron. Astrophys.},
keywords = {Astrophysics, Computational fluid dynamics, Numerical methods, Smoothed particle hydrodynamics},
pages = {543--574},
title = {Smoothed particle hydrodynamics},
volume = {30},
year = {1992}
}
@article{montero07,
author = {Montero, P. J. and Zanotti, O. and Font, J. A. and Rezzolla, L.},
cited = {15 September 2007},
doi = {10.1111/j.1365-2966.2007.11844.x},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Accretion, Accretion disks, Gravitational waves, Magnetohydrodynamics (MHD)},
onlineversion = {http://arXiv.org/astro-ph/0702485},
pages = {1101--1110},
title = {Dynamics of magnetized relativistic tori oscillating around black holes},
volume = {378},
year = {2007}
}
@book{MTW,
address = {San Francisco},
adsurl = {http://adsabs.harvard.edu/abs/1973grav.book.....M},
author = {Misner, C. W. and Thorne, K. S. and Wheeler, J. A.},
keywords = {Gravitation, Relativity},
publisher = {W. H. Freeman},
title = {Gravitation},
year = {1973}
}
@article{mueller79,
author = {M{\"{u}}ller, E. and Hillebrandt, W.},
journal = {Astron. Astrophys.},
keywords = {Gravitational collapse, Supernovae, Magnetic fields, Computational fluid dynamics},
pages = {147--154},
title = {A magnetohydrodynamical supernova model},
volume = {80},
year = {1979}
}
@article{mueller82,
adsurl = {http://adsabs.harvard.edu/abs/1982A&A...114...53M},
author = {M{\"{u}}ller, E.},
journal = {Astron. Astrophys.},
keywords = {Gravitational collapse, Supernovae, Gravitational radiation, Computational fluid dynamics},
pages = {53--59},
title = {Gravitational Radiation from Collapsing Rotating Stellar Cores},
volume = {114},
year = {1982}
}
@inproceedings{mueller98,
address = {Berlin; New York},
adsurl = {http://adsabs.harvard.edu/abs/1998cmaf.conf..343M},
author = {M{\"{u}}ller, E.},
booktitle = {Computational Methods for Astrophysical Fluid Flow},
conference = {Lecture Notes of the Saas-Fee Advanced Course 27, Les Diablerets, Switzerland, March 3\,--\,8, 1997},
editor = {LeVeque, R. J. and Mihalas, D. and Dorfi, E. A. and M{\"{u}}ller, E. and Steiner, O. and Gautschy, A.},
keywords = {Astrophysics, Computational fluid dynamics, Numerical methods, Supernovae},
pages = {343--494},
publisher = {Springer},
series = {Saas-Fee Advanced Courses},
title = {Simulation of Astrophysical Fluid Flow},
volume = {27},
year = {1998}
}
@article{mueller99,
author = {M{\"{u}}ller, I.},
cited = {17 April 2003},
eid = {lrr-1999-1},
journal = {Living Rev. Relativity},
keywords = {Extended thermodynamics},
title = {Speeds of Propagation in Classical and Relativistic Extended Thermodynamics},
url = {http://www.livingreviews.org/lrr-1999-1},
volume = {2},
year = {1999}
}
@article{mueller04,
adsurl = {http://adsabs.harvard.edu/abs/2004ApJ...603..221M},
author = {M{\"{u}}ller, E. and Rampp, M. and Buras, R. and Janka, H.-T. and Shoemaker, D. H.},
cited = {5 November 2007},
doi = {10.1086/381360},
journal = {Astrophys. J.},
keywords = {Hydrodynamics, Neutron stars, Gravitational collapse, Supernovae, Neutrinos, Nuclear physics, Gravitational waves},
onlineversion = {http://arXiv.org/abs/astro-ph/0309833},
pages = {221--230},
title = {Toward Gravitational Wave Signals from Realistic Core-Collapse Supernova Models},
volume = {603},
year = {2004}
}
@article{nagar05,
author = {Nagar, A. and Font, J. A. and Zanotti, O. and De Pietri, R.},
cited = {15 September 2007},
eid = {024007},
journal = {Phys. Rev. D},
keywords = {Accretion, Accretion disks, Relativistic hydrodynamics, Black holes, Gravitational waves},
onlineversion = {http://arXiv.org/abs/gr-qc/0506070},
pages = {1--6},
title = {Gravitational waves from oscillating accretion tori: Comparison between different approaches},
volume = {72},
year = {2005}
}
@article{nagar07,
adsurl = {http://adsabs.harvard.edu/abs/2007PhRvD..75d4016N},
author = {Nagar, A. and Zanotti, O. and Font, J. A. and Rezzolla, L.},
cited = {15 September 2007},
doi = {10.1103/PhysRevD.75.044016},
eid = {044016},
journal = {Phys. Rev. D},
keywords = {Accretion, Accretion disks, Relativistic hydrodynamics, Black holes, Gravitational waves},
onlineversion = {http://arXiv.org/abs/gr-qc/0610131},
title = {Accretion-induced quasinormal mode excitation of a Schwarzschild black hole},
volume = {75},
year = {2007}
}
@article{naka80,
author = {Nakamura, T. and Maeda, K. and Miyama, S. and Sasaki, M.},
journal = {Prog. Theor. Phys.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Gravitational collapse, Numerical methods, Numerical relativity, Relativistic hydrodynamics},
pages = {1229--1244},
title = {General Relativistic Collapse of an Axially Symmetric Star. I -- The Formulation and the Initial Value Equations --},
volume = {63},
year = {1980}
}
@article{naka81,
author = {Nakamura, T.},
doi = {10.1143/PTP.65.1876},
journal = {Prog. Theor. Phys.},
keywords = {Black holes, Computational fluid dynamics, Finite difference methods, Finite volume methods, Gravitational collapse, Numerical methods, Numerical relativity, Relativistic hydrodynamics},
pages = {1876--1890},
title = {General Relativistic Collapse of Axially Symmetric Stars Leading to the Formation of Rotating Black Holes},
volume = {65},
year = {1981}
}
@article{naka81b,
author = {Nakamura, T. and Sasaki, M.},
doi = {10.1016/0370-2693(81)91082-0},
journal = {Phys. Lett. B},
keywords = {Black holes, Gravitational collapse, Gravitational radiation},
pages = {69--72},
title = {Is collapse of a deformed star always effectual for gravitational radiation?},
volume = {106},
year = {1981}
}
@article{naka82,
adsurl = {http://adsabs.harvard.edu/abs/1982PThPh..67.1396N},
author = {Nakamura, T. and Sato, H.},
doi = {10.1143/PTP.67.1396},
journal = {Prog. Theor. Phys.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Gravitational collapse, Numerical methods, Numerical relativity, Relativistic hydrodynamics},
pages = {1396--1405},
title = {General Relativistic Collapse of Non-Rotating, Axisymmetric Stars},
volume = {67},
year = {1982}
}
@article{naka83a,
author = {Nakamura, T.},
doi = {10.1143/PTP.70.1144},
journal = {Prog. Theor. Phys.},
keywords = {Gravitational collapse, Numerical relativistic hydrodynamics, Numerical relativity},
pages = {1144--1147},
title = {General Relativistic Collapse of Accreting Neutron Stars with Rotation},
volume = {70},
year = {1983}
}
@article{naka87a,
author = {Nakamura, T. and Oohara, K. and Kojima, Y.},
doi = {10.1143/PTPS.90.1},
journal = {Prog. Theor. Phys. Suppl.},
keywords = {Gravitational collapse, Gravitational radiation, Numerical relativistic hydrodynamics, Numerical relativity},
pages = {1--218},
title = {General Relativistic Collapse to Black Holes and Gravitational Waves from Black Holes},
volume = {90},
year = {1987}
}
@inproceedings{naka98,
address = {Dordrecht, Netherlands; Boston, U.S.A.},
author = {Nakamura, T. and Oohara, K.},
booktitle = {Numerical Astrophysics},
cited = {1 February 1999},
conference = {Proceedings of the International Conference on Numerical Astrophysics 1998 (Nap98), held at the National Olympic Memorial Youth Center, Tokyo, Japan, March 10\,--\,13, 1998},
editor = {Miyama, S. M. and Tomisaka, K. and Hanawa, T.},
keywords = {Binary systems, Neutron stars, Numerical relativistic hydrodynamics, Numerical relativity},
onlineversion = {http://arXiv.org/abs/gr-qc/9812054},
pages = {247},
publisher = {Kluwer Academic},
series = {Astrophysics and Space Science Library},
title = {A Way to 3D Numerical Relativity},
volume = {240},
year = {1999}
}
@article{narayan94,
adsurl = {http://adsabs.harvard.edu/abs/1994ApJ...428L..13N},
author = {Narayan, R. and Yi, I.},
cited = {15 February 2000},
doi = {10.1086/187381},
eprint = {astro-ph/9403052},
journal = {Astrophys. J. Lett.},
keywords = {Accretion, Accretion disks, Black holes, Hydrodynamics},
onlineversion = {http://arXiv.org/abs/astro-ph/9403052},
pages = {L13--L16},
title = {Advection-dominated accretion: A self-similar solution},
volume = {428},
year = {1994}
}
@incollection{narayan98,
address = {Cambridge, U.K.; New York, U.S.A.},
author = {Narayan, R. and Mahadevan, R. and Quataert, E.},
booktitle = {Theory of Black Hole Accretion Disks},
cited = {15 February 2000},
editor = {Abramowicz, M. A. and Bj{\"{o}}rnsson, G. and Pringle, J. E.},
keywords = {Accretion, Accretion disks, Black holes, Hydrodynamics},
onlineversion = {http://arXiv.org/abs/astro-ph/9803141},
pages = {148},
publisher = {Cambridge University Press},
series = {Cambridge Contemporary Astrophysics},
title = {Advection-Dominated Accretion around Black Holes},
year = {1999}
}
@article{neilsen06,
author = {Neilsen, D. W. and Hirschmann, E. W. and Millward, R. S.},
cited = {31 August 2006},
doi = {10.1088/0264-9381/23/16/S12},
journal = {Class. Quantum Grav.},
keywords = {Numerical relativistic magnetohydrodynamics, Numerical relativity, Black holes},
onlineversion = {http://arXiv.org/abs/gr-qc/0512147},
pages = {S505--S527},
title = {Relativistic MHD and excision: formulation and initial tests},
volume = {23},
year = {2006}
}
@article{new02,
author = {Fryer, C. L. and New, K. C. B.},
cited = {18 June 2002},
eid = {lrr-2003-2},
journal = {Living Rev. Relativity},
keywords = {Gravitational collapse, Gravitational radiation},
title = {Gravitational Waves from Gravitational Collapse},
url = {http://www.livingreviews.org/lrr-2003-2},
volume = {6},
year = {2003}
}
@article{nishikawa05,
author = {Nishikawa, K.-I. and Richardson, G. and Koide, S. and Shibata, K. and Kudoh, T. and Hardee, P. and Fishman, G. J.},
cited = {5 September 2007},
doi = {10.1086/429360},
journal = {Astrophys. J.},
keywords = {Numerical relativistic magnetohydrodynamics, Accretion, Extragalactic jets},
onlineversion = {http://arXiv.org/abs/astro-ph/0403032},
pages = {60-71},
title = {A General Relativistic Magnetohydrodynamic Simulation of Jet Formation},
volume = {625},
year = {2005}
}
@article{noble06,
adsurl = {http://adsabs.harvard.edu/abs/2006ApJ...641..626N},
archiveprefix = {arXiv},
author = {Noble, S. C. and Gammie, C. F. and McKinney, J. C. and Del Zanna, L.},
cited = {5 July 2007},
doi = {10.1086/500349},
eprint = {astro-ph/0512420},
journal = {Astrophys. J.},
keywords = {Numerical relativistic magnetohydrodynamics, Numerical methods},
onlineversion = {http://arXiv.org/abs/astro-ph/0512420},
pages = {626--637},
primaryclass = {astro-ph},
title = {Primitive variable solvers for conservative general relativistic magnetohydrodynamics},
volume = {641},
year = {2006}
}
@article{noh87,
author = {Noh, W. F.},
doi = {10.1016/0021-9991(87)90074-X},
journal = {J. Comput. Phys.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods},
pages = {78--120},
title = {Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux},
volume = {72},
year = {1987}
}
@inproceedings{norman86,
address = {Dordrecht; Boston},
author = {Norman, M. L. and Winkler, K.-H. A.},
booktitle = {Astrophysical Radiation Hydrodynamics},
conference = {Proceedings of the NATO Advanced Research Workshop, Garching, Germany, August 2\,--\,13, 1982},
editor = {Winkler, K.-H. A. and Norman, M. L.},
keywords = {Computational fluid dynamics, Energy and momentum, Finite difference methods, Finite volume methods, Numerical methods, Relativistic hydrodynamics},
pages = {449--475},
publisher = {Reidel},
series = {NATO ASI Series C},
title = {Why Ultrarelativistic Numerical Hydrodynamics is Difficult},
volume = {188},
year = {1986}
}
@article{novak98,
archiveprefix = {arXiv},
author = {Novak, J.},
cited = {15 February 2000},
doi = {10.1103/PhysRevD.57.4789},
eprint = {gr-qc/9707041},
journal = {Phys. Rev. D},
keywords = {Gravitational collapse, Spectral methods, Theories of gravity},
onlineversion = {http://arXiv.org/abs/gr-qc/9707041},
pages = {4789--4801},
primaryclass = {gr-qc},
title = {Spherical neutron star collapse in tensor-scalar theory of gravity},
volume = {57},
year = {1998}
}
@article{novak99,
adsurl = {http://adsabs.harvard.edu/abs/2000ApJ...533..392N},
archiveprefix = {arXiv},
author = {Novak, J. and Ib{\'{a}}{\~{n}}ez, J. M.},
cited = {15 February 2000},
doi = {10.1086/308627},
eprint = {astro-ph/9911298},
journal = {Astrophys. J.},
keywords = {Finite difference methods, Finite volume methods, Gravitational collapse, Numerical methods, Spectral methods, Theories of gravity},
onlineversion = {http://arXiv.org/abs/astro-ph/9911298},
pages = {392--405},
title = {Gravitational waves from the collapse and bounce of a stellar core in tensor scalar gravity},
volume = {533},
year = {2000}
}
@article{novak01,
author = {Novak, J.},
cited = {24 June 2002},
doi = {10.1051/0004-6361:20011037},
eprint = {gr-qc/0107045},
journal = {Astron. Astrophys.},
keywords = {Gravitational collapse, Numerical methods, Spectral methods},
onlineversion = {http://arXiv.org/abs/gr-qc/0107045},
pages = {606--613},
title = {Velocity-induced collapses of stable neutron stars},
volume = {376},
year = {2001}
}
@article{obergaulinger06a,
adsurl = {http://adsabs.harvard.edu/abs/2006A&A...450..1107O},
author = {Obergaulinger, M. and Aloy, M. A. and M{\"{u}}ller, E.},
cited = {5 July 2007},
doi = {10.1051/0004-6361:20054306},
journal = {Astron. Astrophys.},
keywords = {Gravitational collapse, Gravitational radiation, Neutron stars, Magnetohydrodynamics (MHD)},
onlineversion = {http://arXiv.org/abs/astro-ph/0510184},
pages = {1107--1134},
title = {Axisymmetric simulations of magneto-rotational core collapse: dynamics and gravitational wave signal},
volume = {450},
year = {2006}
}
@article{obergaulinger06b,
adsurl = {http://adsabs.harvard.edu/abs/2006A&A...457..209O},
author = {Obergaulinger, M. and Aloy, M. A. and Dimmelmeier, H. and M{\"{u}}ller, E.},
cited = {5 July 2007},
doi = {10.1051/0004-6361:20064982},
journal = {Astron. Astrophys.},
keywords = {Gravitational collapse, Numerical relativistic magnetohydrodynamics, Neutron stars, Magnetohydrodynamics (MHD)},
onlineversion = {http://arXiv.org/abs/astro-ph/0602187},
pages = {209--222},
title = {Axisymmetric simulations of magnetorotational core collapse: approximate inclusion of general relativistic effects},
volume = {457},
year = {2006}
}
@article{oechslin02,
adsurl = {http://adsabs.harvard.edu/abs/2002PhRvD..65j3005O},
archiveprefix = {arXiv},
author = {Oechslin, R. and Rosswog, S. and Thielemann, F. K.},
cited = {5 October 2007},
doi = {10.1103/PhysRevD.65.103005},
eid = {103005},
eprint = {gr-qc/0111005},
journal = {Phys. Rev. D},
keywords = {Binary systems, Gravitational collapse, Relativistic hydrodynamics, Neutron stars},
onlineversion = {http://arXiv.org/abs/gr-qc/0111005},
primaryclass = {gr-qc},
title = {Conformally flat smoothed particle hydrodynamics: application to neutron star mergers},
volume = {65},
year = {2002}
}
@article{oechslin06,
adsurl = {http://adsabs.harvard.edu/abs/2006MNRAS.368.1489O},
archiveprefix = {arXiv},
author = {Oechslin, R. and Janka, H.-T.},
cited = {5 December 2007},
doi = {10.1111/j.1365-2966.2006.10238.x},
eprint = {astro-ph/0507099},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Binary systems, Gravitational collapse, Relativistic hydrodynamics, Neutron stars, Gamma-ray bursts},
onlineversion = {http://arXiv.org/abs/astro-ph/0507099},
pages = {1489--1499},
primaryclass = {astro-ph},
title = {Torus Formation in Neutron Star Mergers and Well-Localized Short Gamma-Ray Bursts},
volume = {368},
year = {2006}
}
@article{oechslin07,
adsurl = {http://adsabs.harvard.edu/abs/2007A&A...467..395O},
archiveprefix = {arXiv},
author = {Oechslin, R. and Janka, H.-T. and Marek, A.},
cited = {5 October 2007},
doi = {10.1051/0004-6361:20066682},
eprint = {astro-ph/0611047},
journal = {Astron. Astrophys.},
keywords = {Binary systems, Gravitational collapse, Relativistic hydrodynamics, Neutron stars},
onlineversion = {http://arXiv.org/abs/astro-ph/0611047},
pages = {395--409},
primaryclass = {astro-ph},
title = {Relativistic neutron star merger simulations with non-zero temperature equations of state. 1. Variation of binary parameters and equation of state},
volume = {467},
year = {2007}
}
@article{oechslin07b,
adsurl = {http://adsabs.harvard.edu/abs/2007PhRvL..99l1102O},
author = {Oechslin, R. and Janka, H.-T.},
cited = {5 October 2007},
doi = {10.1103/PhysRevLett.99.121102},
eid = {121102},
journal = {Phys. Rev. Lett.},
keywords = {Binary systems, Gravitational collapse, Relativistic hydrodynamics, Neutron stars, Gravitational radiation},
onlineversion = {http://arXiv.org/abs/astro-ph/0702228},
title = {Gravitational Waves from Relativistic Neutron-Star Mergers with Microphysical Equations of State},
volume = {99},
year = {2007}
}
@article{oleinik57,
author = {Oleinik, O.},
journal = {Am. Math. Soc. Transl.},
keywords = {Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods},
pages = {95--172},
title = {Discontinuous solutions and non-linear differential equations},
volume = {26},
year = {1957}
}
@article{oohara83,
author = {Oohara, K. and Nakamura, T.},
journal = {Phys. Lett. A},
keywords = {Approximation methods, Black holes, Gravitational radiation},
pages = {407--410},
title = {Gravitational radiation from a particle scattered by a non-rotating black hole},
volume = {98},
year = {1983}
}
@inproceedings{oohara96,
address = {Cambridge, U.K.},
author = {Oohara, K. and Nakamura, T.},
booktitle = {Relativistic Gravitation and Gravitational Radiation},
cited = {1 September 1996},
conference = {Proceedings of the Les Houches School of Physics, held in Les Houches, Haute Savoie, 26 September\,--\,6 October, 1995},
editor = {Marck, J.-A. and Lasota, J.-P.},
keywords = {Binary systems, Einstein equations, Gravitational radiation, Neutron stars, Numerical methods, Numerical relativistic hydrodynamics, Numerical relativity},
onlineversion = {http://arXiv.org/abs/astro-ph/9606179},
pages = {309--334},
publisher = {Cambridge University Press},
series = {Cambridge Contemporary Astrophysics},
title = {Coalescence of Binary Neutron Stars},
year = {1997}
}
@article{oohara99,
author = {Oohara, K. and Nakamura, T.},
cited = {1 September 2007},
doi = {10.1143/PTPS.136.270},
journal = {Prog. Theor. Phys. Suppl.},
keywords = {Numerical relativity, Relativistic hydrodynamics, Einstein equations, Binary systems, Neutron stars, Gravitational radiation, Numerical methods},
onlineversion = {http://arXiv.org/abs/astro-ph/9912085},
pages = {270--286},
title = {3D General Relativistic Simulations of Coalescing Binary Neutron Stars},
volume = {136},
year = {1999}
}
@article{ott05,
adsurl = {http://adsabs.harvard.edu/abs/2004ApJ...625L..119O},
author = {Ott, C. D. and Ou, S. and Tohline, J. E. and Burrows, A.},
cited = {15 September 2007},
doi = {10.1086/431305},
journal = {Astrophys. J.},
keywords = {Hydrodynamics, Neutron stars, Gravitational radiation, Gravitational collapse, Supernovae},
onlineversion = {http://arXiv.org/abs/astro-ph/0503187},
pages = {L119--L122},
title = {One-armed Spiral Instability in a Low-$T/|W|$ Postbounce Supernova Core},
volume = {625},
year = {2005}
}
@article{ott07,
adsurl = {http://adsabs.harvard.edu/abs/2007PhRvL..98z1101O},
author = {Ott, C. D. and Dimmelmeier, H. and Marek, A. and Janka, H.-T. and Hawke, I. and Zink, B. and Schnetter, E.},
cited = {15 September 2007},
doi = {10.1103/PhysRevLett.98.261101},
eid = {261101},
journal = {Phys. Rev. Lett.},
keywords = {Relativistic hydrodynamics, Neutron stars, Relativistic stars, Gravitational radiation, Gravitational collapse},
onlineversion = {http://arXiv.org/abs/astro-ph/0609819},
title = {3D Collapse of Rotating Stellar Iron Cores in General Relativity Including Deleptonization and a Nuclear Equation of State},
volume = {98},
year = {2007}
}
@article{paczynski80,
adsurl = {http://adsabs.harvard.edu/abs/1980A&A....88...23P},
author = {Paczy{\'{n}}ski, B. and Wiita, P. J.},
journal = {Astron. Astrophys.},
keywords = {Accretion disks, Black holes},
pages = {23--31},
title = {Thick accretion disks and supercritical luminosities},
volume = {88},
year = {1980}
}
@article{papadopoulos98a,
author = {Papadopoulos, P. and Font, J. A.},
cited = {1 April 1998},
eid = {024005},
journal = {Phys. Rev. D},
keywords = {Accretion, Black holes, Computational fluid dynamics, Numerical methods, Numerical relativistic hydrodynamics, Relativistic hydrodynamics, Shock waves},
onlineversion = {http://arXiv.org/abs/gr-qc/9803087},
pages = {1--10},
title = {Relativistic hydrodynamics around black holes and horizon adapted coordinate systems},
volume = {58},
year = {1998}
}
@article{papadopoulos99a,
author = {Papadopoulos, P. and Font, J. A.},
cited = {1 September 1998},
eid = {044014},
journal = {Phys. Rev. D},
keywords = {Black holes, Gravitational radiation, Numerical methods, Numerical relativistic hydrodynamics, Perturbation theory},
onlineversion = {http://arXiv.org/abs/gr-qc/9808054},
pages = {1--17},
title = {Matter flows around black holes and gravitational radiation},
volume = {59},
year = {1999}
}
@article{papadopoulos99b,
adsurl = {http://adsabs.harvard.edu/abs/2000PhRvD..61b4015P},
archiveprefix = {arXiv},
author = {Papadopoulos, P. and Font, J. A.},
cited = {1 March 1999},
doi = {10.1103/PhysRevD.61.024015},
eid = {024015},
eprint = {gr-qc/9902018},
journal = {Phys. Rev. D},
keywords = {Computational fluid dynamics, Relativistic hydrodynamics, Initial value problem, Null surfaces, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods},
numpages = {15},
onlineversion = {http://arXiv.org/abs/gr-qc/9902018},
title = {Relativistic hydrodynamics on spacelike and null surfaces: Formalism and computations of spherically symmetric spacetimes},
volume = {61},
year = {2000}
}
@preprint{papadopoulos99c,
author = {Papadopoulos, P. and Font, J. A.},
cited = {1 February 2000},
format = {arxiv},
keywords = {Energy and momentum, Hyperbolic partial differential equations, Relativistic hydrodynamics},
title = {Analysis of relativistic hydrodynamics in conservation form},
url = {http://arXiv.org/abs/gr-qc/9912054},
year = {1999}
}
@article{papadopoulos01a,
adsurl = {http://adsabs.harvard.edu/abs/2001PhRvD..63d4016P},
archiveprefix = {arXiv},
author = {Papadopoulos, P. and Font, J. A.},
cited = {13 June 2002},
doi = {10.1103/PhysRevD.63.044016},
eid = {044016},
eprint = {gr-qc/0009024},
journal = {Phys. Rev. D},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Initial value problem, Null surfaces, Numerical methods, Relativistic hydrodynamics},
numpages = {5},
onlineversion = {http://arXiv.org/abs/gr-qc/0009024},
title = {Imprints of accretion on gravitational waves from black holes},
volume = {63},
year = {2001}
}
@article{papaloizou84,
adsurl = {http://adsabs.harvard.edu/abs/1984MNRAS.208..721P},
author = {Papaloizou, J. C. B. and Pringle, J. E.},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Accretion disks},
pages = {721--750},
title = {The dynamical stability of differentially rotating discs with constant specific angular momentum},
volume = {208},
year = {1984}
}
@article{park06,
author = {Park, M.-G.},
cited = {25 September 2007},
doi = {10.1111/j.1365-2966.2006.10081.x},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Relativistic hydrodynamics, Radiative transfer, Accretion disks},
onlineversion = {http://arXiv.org/abs/astro-ph/0601635},
pages = {1739-1745},
title = {Equations of general relativistic radiation hydrodynamics from a tensor formalism},
volume = {367},
year = {2006}
}
@article{peitz99,
author = {Peitz, J. and Appl, S.},
doi = {10.1088/0264-9381/16/3/025},
journal = {Class. Quantum Grav.},
keywords = {ADM formalism, Energy and momentum, Relativistic hydrodynamics},
pages = {979--989},
title = {Dissipative fluid dynamics in the 3+1 formalism},
volume = {16},
year = {1999}
}
@article{penrose69,
adsurl = {http://adsabs.harvard.edu/abs/1969NCimR...1..252P},
author = {Penrose, R.},
journal = {Riv. Nuovo Cimento},
keywords = {Gravitational collapse},
pages = {252--276},
title = {Gravitational Collapse: The Role of General Relativity},
volume = {1},
year = {1969}
}
@article{petrich85,
author = {Petrich, L. I. and Shapiro, S. L. and Wasserman, I.},
doi = {10.1086/191043},
journal = {Astrophys. J. Suppl. Ser.},
keywords = {Approximation methods, Black holes, Gravitational radiation},
pages = {297--320},
title = {Gravitational radiation from nonspherical infall into black holes. II. A catalog of `exact' waveforms},
volume = {58},
year = {1985}
}
@article{petrich89,
author = {Petrich, L. I. and Shapiro, S. L. and Stark, R. F. and Teukolsky, S. A.},
doi = {10.1086/167013},
journal = {Astrophys. J.},
keywords = {Accretion, Black holes, Computational fluid dynamics, Numerical methods, Numerical relativistic hydrodynamics, Relativistic hydrodynamics, Shock waves},
pages = {313--349},
title = {Accretion onto a moving black hole: a fully relativistic treatment},
volume = {336},
year = {1989}
}
@inproceedings{piran86,
address = {Cambridge; New York},
adsurl = {http://adsabs.harvard.edu/abs/1986dsnr.work...40P},
author = {Piran, T. and Stark, R. F.},
booktitle = {Dynamical Spacetimes and Numerical Relativity},
conference = {Proceedings of a workshop held at Drexel University, October 7\,--\,11, 1985},
editor = {Centrella, J. M.},
keywords = {ADM formalism, Einstein equations, Gravitational collapse, Gravitational radiation, Numerical methods, Numerical relativity, Relativistic hydrodynamics},
pages = {40--73},
publisher = {Cambridge University Press},
title = {Numerical relativity, rotating gravitational collapse, and gravitational radiation},
year = {1986}
}
@article{pons98,
author = {Pons, J. A. and Font, J. A. and Ib{\'{a}}{\~{n}}ez, J. M. and Mart{\'{\i}}, J. M. and Miralles, J. A.},
cited = {1 August 1998},
journal = {Astron. Astrophys.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods, Numerical relativity, Relativistic hydrodynamics},
onlineversion = {http://arXiv.org/abs/astro-ph/9807215},
pages = {638--642},
title = {General Relativistic Hydrodynamics with Special Relativistic Riemann Solvers},
volume = {339},
year = {1998}
}
@article{pons00b,
author = {Pons, J. A. and Ib{\'{a}}{\~{n}}ez, J. M. and Miralles, J. A.},
cited = {28 October 2002},
doi = {10.1046/j.1365-8711.2000.03679.x},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Hyperbolic equations, Numerical methods},
onlineversion = {http://arXiv.org/abs/astro-ph/0005310},
pages = {550--562},
title = {Hyperbolic character of the angular moment equations of radiative transfer and numerical methods},
volume = {317},
year = {2000}
}
@article{pons00,
author = {Pons, J. A. and Mart{\'{\i}}, J. M. and M{\"{u}}ller, E.},
cited = {15 July 2002},
doi = {10.1017/S0022112000001439},
journal = {J. Fluid Mech.},
keywords = {Initial value problem, Numerical methods, Relativistic hydrodynamics, Shock waves},
onlineversion = {http://arXiv.org/abs/astro-ph/0005038},
pages = {125--139},
title = {The exact solution of the Riemann problem with non-zero tangential velocities in relativistic hydrodynamics},
volume = {422},
year = {2000}
}
@incollection{pretorius07,
address = {Berlin; New York},
archiveprefix = {arXiv},
author = {Pretorius, F.},
booktitle = {Physics of Relativistic Objects in Compact Binaries: From Birth to Coalescence},
cited = {10 October 2007},
editor = {Colpi, M. and Casella, P. and Gorini, V. and Moschella, U. and Possenti, A.},
eprint = {0710.1338},
format = {print},
gbs_id = {kB-lNIP-a0EC{\&}pg=PA305},
keywords = {Numerical relativity, Black holes, Binary systems, Gravitational radiation},
pages = {305--369},
publisher = {Springer},
series = {Astrophysics and Space Science Library},
title = {Binary Black Hole Coalescence},
volume = {359},
year = {2009}
}
@article{price06,
adsurl = {http://adsabs.harvard.edu/abs/2006Sci...312..719P},
archiveprefix = {arXiv},
author = {Price, D. and Rosswog, S.},
cited = {10 July 2008},
doi = {10.1126/science.1125201},
eprint = {astro-ph/0603845},
journal = {Science},
keywords = {Neutron stars, Binary systems, Gamma-ray bursts, Magnetohydrodynamics (MHD)},
onlineversion = {http://arXiv.org/abs/astro-ph/0603845},
pages = {719--722},
primaryclass = {astro-ph},
title = {Producing Ultrastrong Magnetic Fields in Neutron Star Mergers},
volume = {312},
year = {2006}
}
@article{punsly07b,
author = {Punsly, B.},
cited = {5 November 2007},
doi = {10.1086/518601},
journal = {Astrophys. J. Lett.},
keywords = {Numerical relativistic magnetohydrodynamics, Black holes, Extragalactic jets},
onlineversion = {http://arXiv.org/abs/0704.0816},
pages = {L21--L24},
title = {Three-dimensional Simulations of Ergospheric Disk-driven Poynting Jets},
volume = {661},
year = {2007}
}
@article{rampp98a,
author = {Rampp, M. and M{\"{u}}ller, E. and Ruffert, M.},
cited = {15 July 2002},
eprint = {arXiv:astro-ph/9781112},
journal = {Astron. Astrophys.},
keywords = {Gravitational collapse, Supernovae},
onlineversion = {http://arXiv.org/abs/astro-ph/9711122},
pages = {969--983},
title = {Simulations of non-axisymmetric rotational core collapse},
volume = {332},
year = {1998}
}
@article{rampp00a,
author = {Rampp, M. and Janka, H.-T.},
cited = {14 June 2002},
doi = {10.1086/312837},
journal = {Astrophys. J.},
keywords = {Gravitational collapse, Supernovae},
onlineversion = {http://arXiv.org/abs/astro-ph/0005438},
pages = {L33--L36},
title = {Spherically symmetric simulation with Boltzmann neutrino transport of core-collapse and post-bounce evolution of a 15 solar mass star},
volume = {539},
year = {2000}
}
@article{rampp02a,
author = {Rampp, M. and Janka, H.-T.},
cited = {14 June 2002},
journal = {Astron. Astrophys.},
keywords = {Gravitational collapse, Supernovae},
onlineversion = {http://arXiv.org/abs/astro-ph/0203101},
pages = {361--392},
title = {Radiation hydrodynamics with neutrinos: Variable Eddington factor method for core-collapse supernova simulations},
volume = {396},
year = {2002}
}
@article{rasio99,
author = {Rasio, F. A. and Shapiro, S. L.},
cited = {1 March 1999},
doi = {10.1088/0264-9381/16/6/201},
journal = {Class. Quantum Grav.},
keywords = {Astrophysics, Gravitational radiation, Hydrodynamics, Neutron stars},
onlineversion = {http://arXiv.org/abs/gr-qc/9902019},
pages = {R1--R29},
title = {Coalescing binary neutron stars},
volume = {16},
year = {1999}
}
@article{rezzolla94,
author = {Rezzolla, L. and Miller, J. C.},
doi = {10.1088/0264-9381/11/7/018},
journal = {Class. Quantum Grav.},
keywords = {Radiation},
pages = {1815--1832},
title = {Relativistic radiative transfer for spherical flows},
volume = {11},
year = {1994}
}
@article{rezzolla00,
author = {Rezzolla, L. and Zanotti, O.},
cited = {15 July 2002},
doi = {10.1017/S0022112001006450},
journal = {J. Fluid Mech.},
keywords = {Relativistic hydrodynamics},
onlineversion = {http://arXiv.org/abs/gr-qc/0103005},
pages = {395--411},
title = {An improved exact Riemann solver for relativistic hydrodynamics},
volume = {449},
year = {2001}
}
@article{rezzolla03,
adsurl = {http://adsabs.harvard.edu/abs/2003MNRAS.344L..37R},
archiveprefix = {arXiv},
author = {Rezzolla, L. and Yoshida, S. and Maccarone, T. J. and Zanotti, O.},
cited = {15 July 2007},
doi = {10.1046/j.1365-8711.2003.07018.x},
eprint = {astro-ph/0307487},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Accretion disks, Black holes, Oscillations, Gravitational waves},
onlineversion = {http://arXiv.org/abs/astro-ph/0307487},
pages = {L37--L41},
title = {A new simple model for high-frequency quasi-periodic oscillations in black hole candidates},
volume = {344},
year = {2003}
}
@article{richardson02,
author = {Richardson, G. A. and Chung, T. J.},
doi = {10.1086/338508},
journal = {Astrophys. J. Suppl. Ser.},
keywords = {Numerical methods, Numerical relativistic hydrodynamics},
pages = {539--563},
title = {Computational relativistic astrophysics using the flow field-dependent variation theory},
volume = {139},
year = {2002}
}
@book{richtmyer67,
address = {New York},
author = {Richtmyer, R. D. and Morton, K. W.},
edition = {2nd},
keywords = {Differential equations, Finite difference methods, Finite volume methods, Numerical methods},
publisher = {Wiley-Interscience},
series = {Interscience Tracts in Pure and Applied Mathematics},
title = {Difference Methods for Initial-Value Problems},
volume = {4},
year = {1967}
}
@techreport{roe84,
address = {Hampton, U.S.A.},
author = {Roe, P. L.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods},
number = {No. 84-53},
publisher = {Institute for Computer Applications in Science and Engineering (ICASE)},
series = {ICASE Report},
title = {Generalized formulation of TVD Lax--Wendroff schemes},
year = {1984}
}
@article{roe81,
author = {Roe, P. L.},
doi = {10.1016/0021-9991(81)90128-5},
journal = {J. Comput. Phys.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods},
pages = {357--372},
title = {Approximate Riemann solvers, parameter vectors and difference schemes},
volume = {43},
year = {1981}
}
@article{romero96,
author = {Romero, J. V. and Ib{\'{a}}{\~{n}}ez, J. M. and Mart{\'{\i}}, J. M. and Miralles, J. A.},
cited = {1 October 1995},
doi = {10.1086/177198},
journal = {Astrophys. J.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Gravitational collapse, Hyperbolic equations, Numerical methods, Numerical relativity, Relativistic hydrodynamics},
onlineversion = {http://arXiv.org/abs/astro-ph/9509121},
pages = {839--854},
title = {A new spherically symmetric general relativistic hydrodynamical code},
volume = {462},
year = {1996}
}
@article{romero05,
author = {Romero, R. and Mart{\'{\i}}, J. M. and Pons, J. A. and Ib{\'{a}}{\~{n}}ez, J. M. and Miralles, J. A.},
cited = {31 August 2007},
doi = {10.1017/S0022112005006701},
journal = {J. Fluid Mech.},
keywords = {Numerical relativistic magnetohydrodynamics, Hyperbolic equations, Initial value problem, Shock waves},
onlineversion = {http://arXiv.org/abs/astro-ph/0506527},
pages = {323--338},
title = {The exact solution of the Riemann problem in relativistic magnetohydrodynamics with tangential magnetic fields},
volume = {544},
year = {2005}
}
@article{ruffert94,
author = {Ruffert, M. and Arnett, D.},
doi = {10.1086/174145},
journal = {Astrophys. J.},
keywords = {Accretion, Computational fluid dynamics, Hydrodynamics, Shock waves},
pages = {351--376},
title = {Three-dimensional hydrodynamic Bondi--Hoyle accretion. 2: Homogeneous medium at Mach 3 with gamma = 5/3},
volume = {427},
year = {1994}
}
@article{ruffert98,
adsurl = {http://adsabs.harvard.edu/abs/1998A&A...338..535R},
author = {Ruffert, M. and Janka, H.-T.},
cited = {1 May 1998},
eprint = {astro-ph/9804132},
journal = {Astron. Astrophys.},
keywords = {Astrophysics, Binary systems, Computational fluid dynamics, Gamma-ray bursts, Gravitational radiation, Hydrodynamics, Neutrinos, Neutron stars, Nuclear physics},
onlineversion = {http://arXiv.org/abs/astro-ph/9804132},
pages = {535--555},
title = {Colliding neutron stars: Gravitational waves, neutrino emission, and gamma-ray bursts},
volume = {338},
year = {1998}
}
@article{ryu98,
author = {Ryu, D. and Miniati, F. and Jones, T. W. and Frank, A.},
cited = {1 September 2007},
doi = {10.1086/306481},
journal = {Astrophys. J.},
keywords = {Computational fluid dynamics, Numerical methods, Magnetohydrodynamics (MHD)},
onlineversion = {http://arXiv.org/abs/astro-ph/9807228},
pages = {244--255},
title = {A divergence-free upwind code for multidimensional magnetohydrodynamic flows},
volume = {509},
year = {1998}
}
@article{sachs62,
adsurl = {http://adsabs.harvard.edu/abs/1962RSPSA.270..103S},
author = {Sachs, R. K.},
doi = {10.1098/rspa.1962.0206},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Einstein equations, Null surfaces, Gravitational radiation},
pages = {103--126},
title = {Gravitational Waves in General Relativity. VIII. Waves in Asymptotically Flat Space-Time},
volume = {270},
year = {1962}
}
@article{schneider93,
author = {Schneider, V. and Katscher, V. and Rischke, D. H. and Waldhauser, B. and Marhun, J. A. and Munz, C.-D.},
doi = {10.1006/jcph.1993.1056},
journal = {J. Comput. Phys.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods, Relativistic hydrodynamics},
pages = {92--107},
title = {New algorithms for ultra-relativistic numerical hydrodynamics},
volume = {105},
year = {1993}
}
@article{shakura73,
adsurl = {http://adsabs.harvard.edu/abs/1973A&A....24..337S},
author = {Shakura, N. I. and Sunyaev, R. A.},
journal = {Astron. Astrophys.},
keywords = {Accretion, Accretion disks, Astrophysics, Binary systems, Black holes},
pages = {337--355},
title = {Black holes in binary systems. Observational appearance},
volume = {24},
year = {1973}
}
@article{shapiro82,
author = {Shapiro, S. L. and Wasserman, I.},
doi = {10.1086/160302},
journal = {Astrophys. J.},
keywords = {Approximation methods, Black holes, Gravitational radiation},
pages = {838--848},
title = {Gravitational radiation from nonspherical infall into black holes},
volume = {260},
year = {1982}
}
@article{shapiro98,
author = {Shapiro, S. L.},
cited = {15 February 2000},
eid = {103002},
journal = {Phys. Rev. D},
keywords = {Gravitational collapse, Neutron stars, Relativistic astrophysics},
onlineversion = {http://arXiv.org/abs/gr-qc/9809060},
pages = {1--5},
title = {Head-on collision of neutron stars as a thought experiment},
volume = {58},
year = {1998}
}
@article{shen98,
adsurl = {http://adsabs.harvard.edu/abs/1998PThPh.100.1013S},
archiveprefix = {arXiv},
author = {Shen, H. and Toki, H. and Oyamatsu, K. and Sumiyoshi, K.},
cited = {15 November 2007},
doi = {10.1143/PTP.100.1013},
eprint = {nucl-th/9806095},
journal = {Prog. Theor. Phys.},
keywords = {Gravitational collapse, Neutron stars, Nuclear physics, Supernovae},
onlineversion = {http://arXiv.org/abs/nucl-th/9806095},
pages = {1013--1031},
title = {Relativistic Equation of State of Nuclear Matter for Supernova Explosion},
volume = {100},
year = {1998}
}
@article{shibata95,
adsurl = {http://adsabs.harvard.edu/abs/1995PhRvD..52.5428S},
author = {Shibata, M. and Nakamura, T.},
doi = {10.1103/PhysRevD.52.5428},
journal = {Phys. Rev. D},
keywords = {Constraint equations, Einstein equations, Gauge conditions, Gravitational radiation, Numerical relativity},
pages = {5428--5444},
title = {Evolution of three-dimensional gravitational waves: Harmonic slicing case},
volume = {52},
year = {1995}
}
@article{shibata99,
adsurl = {http://adsabs.harvard.edu/abs/1999PhRvD..60j4052S},
author = {Shibata, M.},
cited = {15 February 2000},
doi = {10.1103/PhysRevD.60.104052},
eid = {104052},
journal = {Phys. Rev. D},
keywords = {Binary systems, Black holes, Einstein equations, Neutron stars, Numerical methods, Numerical relativistic hydrodynamics, Numerical relativity},
numpages = {25},
onlineversion = {http://arXiv.org/abs/gr-qc/9908027},
title = {Fully General Relativistic Simulation of Coalescing Binary Neutron Stars: Preparatory Tests},
volume = {60},
year = {1999}
}
@article{shibata99b,
author = {Shibata, M. and Baumgarte, T. W. and Shapiro, S. L.},
cited = {15 February 2000},
eid = {044012},
journal = {Phys. Rev. D},
keywords = {Black holes, Computational fluid dynamics, Einstein equations, Gravitational collapse, Neutron stars, Numerical relativistic hydrodynamics, Numerical relativity, Relativistic hydrodynamics},
onlineversion = {http://arXiv.org/abs/astro-ph/9911308},
pages = {1--11},
title = {Stability and collapse of rapidly rotating, supramassive neutron stars: 3D simulations in general relativity},
volume = {61},
year = {2000}
}
@article{shibata99c,
author = {Shibata, M. and Ury{\={u}}, K.},
cited = {15 February 2000},
doi = {10.1103/PhysRevD.61.064001},
eid = {064001},
journal = {Phys. Rev. D},
keywords = {Binary systems, Black holes, Einstein equations, Neutron stars, Numerical methods, Numerical relativistic hydrodynamics, Numerical relativity},
numpages = {18},
onlineversion = {http://arXiv.org/abs/gr-qc/9911058},
title = {Simulation of merging binary neutron stars in full general relativity: $\Gamma = 2$ case},
volume = {61},
year = {2000}
}
@article{shibata00a,
adsurl = {http://adsabs.harvard.edu/abs/2000ApJ...542..453S},
archiveprefix = {arXiv},
author = {Shibata, M. and Baumgarte, T. W. and Shapiro, S. L.},
cited = {13 June 2002},
doi = {10.1086/309525},
eprint = {astro-ph/0005378},
journal = {Astrophys. J.},
keywords = {Einstein equations, Neutron stars, Numerical relativistic hydrodynamics, Numerical relativity, Relativistic stars},
onlineversion = {http://arXiv.org/abs/astro-ph/0005378},
pages = {453--463},
primaryclass = {astro-ph},
title = {The bar-mode instability in differentially rotating neutron stars: simulations in full general relativity},
volume = {542},
year = {2000}
}
@article{shibata00b,
adsurl = {http://adsabs.harvard.edu/abs/2000PThPh.104..325S},
author = {Shibata, M.},
cited = {13 June 2002},
doi = {10.1143/PTP.104.325},
journal = {Prog. Theor. Phys.},
keywords = {Black holes, Gravitational collapse, Neutron stars, Numerical relativistic hydrodynamics, Numerical relativity, Relativistic stars},
onlineversion = {http://arXiv.org/abs/gr-qc/0007049},
pages = {325--358},
title = {Axisymmetric Simulations of Rotating Stellar Collapse in Full General Relativity -- Criteria for Prompt Collapse to Black Holes --},
volume = {104},
year = {2000}
}
@article{shibata02a,
adsurl = {http://adsabs.harvard.edu/abs/2002PThPh.107..265S},
archiveprefix = {arXiv},
author = {Shibata, M. and Ury{\={u}}, K.},
cited = {13 June 2002},
doi = {10.1143/PTP.107.265},
eprint = {gr-qc/0203037},
journal = {Prog. Theor. Phys.},
keywords = {Binary systems, Gravitational radiation, Neutron stars, Numerical relativistic hydrodynamics, Numerical relativity, Relativistic stars},
onlineversion = {http://arXiv.org/abs/gr-qc/0203037},
pages = {265--303},
primaryclass = {gr-qc},
title = {Gravitational waves from the merger of binary neutron stars in a fully general relativistic simulation},
volume = {107},
year = {2002}
}
@article{shibata02b,
adsurl = {http://adsabs.harvard.edu/abs/2002ApJ...572L..39S},
author = {Shibata, M. and Shapiro, S. L.},
cited = {13 June 2002},
doi = {10.1086/341516},
journal = {Astrophys. J. Lett.},
keywords = {Black holes, Gravitational collapse, Numerical relativistic hydrodynamics, Numerical relativity},
onlineversion = {http://arXiv.org/abs/astro-ph/0205091},
pages = {L39--L43},
title = {Collapse of a Rotating Supermassive Star to a Supermassive Black Hole: Fully Relativistic Simulations},
volume = {572},
year = {2002}
}
@article{shibata02c,
adsurl = {http://adsabs.harvard.edu/abs/2003PhRvD..67b4033S},
author = {Shibata, M.},
cited = {17 April 2003},
doi = {10.1103/PhysRevD.67.024033},
eid = {024033},
journal = {Phys. Rev. D},
keywords = {Black holes, Gravitational collapse, Neutron stars, Numerical relativistic hydrodynamics, Numerical relativity},
onlineversion = {http://arXiv.org/abs/gr-qc/0301103},
pages = {1--24},
title = {Axisymmetric general relativistic hydrodynamics: Long-term evolution of neutron stars and stellar collapse to neutron stars and black holes},
volume = {67},
year = {2003}
}
@article{shibata03,
author = {Shibata, M.},
cited = {17 November 2007},
doi = {10.1086/377435},
journal = {Astrophys. J.},
keywords = {Numerical relativity, Relativistic hydrodynamics, Gravitational collapse, Black holes, Neutron stars},
onlineversion = {http://arXiv.org/abs/astro-ph/0310020},
pages = {992--999},
title = {Collapse of Rotating Supramassive Neutron Stars to Black Holes: Fully General Relativistic Simulations},
volume = {595},
year = {2003}
}
@article{shibata03b,
author = {Shibata, M. and Sekiguchi, Y.},
cited = {5 November 2007},
eid = {104020},
journal = {Phys. Rev. D},
keywords = {Numerical relativity, Relativistic hydrodynamics, Neutron stars, Gravitational waves},
onlineversion = {http://arXiv.org/abs/astro-ph/0402184},
title = {Gravitational waves from axisymmetrically oscillating neutron stars in general relativistic simulations},
volume = {68},
year = {2003}
}
@article{shibata04,
adsurl = {http://adsabs.harvard.edu/abs/2004PhRvD..69h4024S},
author = {Shibata, M. and Sekiguchi, Y.},
cited = {5 July 2007},
doi = {10.1103/PhysRevD.69.084024},
eid = {084024},
journal = {Phys. Rev. D},
keywords = {Numerical relativity, Relativistic hydrodynamics, Gravitational collapse, Neutron stars, Gravitational waves},
onlineversion = {http://arXiv.org/abs/gr-qc/0402040},
pages = {1--16},
title = {Gravitational waves from axisymmetric rotating stellar core collapse to a neutron star in full general relativity},
volume = {69},
year = {2004}
}
@article{shibata05,
adsurl = {http://adsabs.harvard.edu/abs/2005PhRvD..72d4014S},
author = {Shibata, M. and Sekiguchi, Y.-I.},
cited = {5 July 2007},
doi = {10.1103/PhysRevD.72.044014},
eid = {044014},
eprint = {astro-ph/0507383},
journal = {Phys. Rev. D},
keywords = {Numerical relativistic magnetohydrodynamics, Numerical relativity},
onlineversion = {http://arXiv.org/abs/astro-ph/0507383},
title = {Magnetohydrodynamics in full general relativity: Formulation and tests},
volume = {72},
year = {2005}
}
@article{shibata05b,
author = {Shibata, M. and Font, J. A.},
cited = {5 July 2007},
eid = {047501},
journal = {Phys. Rev. D},
keywords = {Numerical methods, Relativistic hydrodynamics, Numerical relativity},
onlineversion = {http://arXiv.org/abs/gr-qc/0507099},
pages = {1--4},
title = {Robustness of a high-resolution central scheme for hydrodynamic simulations in full general relativity},
volume = {72},
year = {2005}
}
@article{shibata05c,
adsurl = {http://adsabs.harvard.edu/abs/2005PhRvL..94t1101S},
author = {Shibata, M.},
cited = {5 September 2007},
doi = {10.1103/PhysRevLett.94.201101},
eid = {201101},
journal = {Phys. Rev. Lett.},
keywords = {Relativistic hydrodynamics, Numerical relativity, Binary systems, Neutron stars, Gravitational radiation},
onlineversion = {http://arXiv.org/abs/gr-qc/0504082},
title = {Constraining Nuclear Equations of State Using Gravitational Waves from Hypermassive Neutron Stars},
volume = {94},
year = {2005}
}
@article{shibata05d,
adsurl = {http://adsabs.harvard.edu/abs/2005PhRvD..71h4021S},
archiveprefix = {arXiv},
author = {Shibata, M. and Taniguchi, K. and Ury{\={u}}, K.},
cited = {5 September 2007},
doi = {10.1103/PhysRevD.71.084021},
eid = {084021},
eprint = {gr-qc/0503119},
journal = {Phys. Rev. D},
keywords = {Relativistic hydrodynamics, Numerical relativity, Binary systems, Neutron stars, Gravitational radiation},
onlineversion = {http://arXiv.org/abs/gr-qc/0503119},
title = {Merger of binary neutron stars with realistic equations of state in full general relativity},
volume = {71},
year = {2005}
}
@article{shibata05e,
adsurl = {http://adsabs.harvard.edu/abs/2005PhRvD..71b4014S},
author = {Shibata, M. and Sekiguchi, Y.},
cited = {5 September 2007},
doi = {10.1103/PhysRevD.71.024014},
eid = {024014},
journal = {Phys. Rev. D},
keywords = {Relativistic hydrodynamics, Numerical relativity, Gravitational collapse, Neutron stars},
onlineversion = {http://arXiv.org/abs/astro-ph/0412243},
pages = {1--32},
title = {Three-dimensional simulations of stellar core collapse in full general relativity: Nonaxisymmetric dynamical instabilities},
volume = {71},
year = {2005}
}
@article{shibata06,
adsurl = {http://adsabs.harvard.edu/abs/2006PhRvD..74j4026S},
author = {Shibata, M. and Liu, Y. T. and Shapiro, S. L. and Stephens, B. C.},
cited = {5 July 2007},
doi = {10.1103/PhysRevD.74.104026},
eid = {104026},
journal = {Phys. Rev. D},
keywords = {Numerical relativistic magnetohydrodynamics, Numerical relativity, Gravitational collapse, Neutron stars},
onlineversion = {http://arXiv.org/abs/astro-ph/0610840},
pages = {1--28},
title = {Magnetorotational collapse of massive stellar cores to neutron stars: Simulations in full general relativity},
volume = {74},
year = {2006}
}
@article{shibata06b,
adsurl = {http://adsabs.harvard.edu/abs/2006PhRvL..96c1102S},
archiveprefix = {arXiv},
author = {Shibata, M. and Duez, M. D. and Liu, Y. T. and Shapiro, S. L. and Stephens, B. C.},
cited = {5 July 2007},
doi = {10.1103/PhysRevLett.96.031102},
eid = {031102},
eprint = {astro-ph/0511142},
journal = {Phys. Rev. Lett.},
keywords = {Numerical relativistic magnetohydrodynamics, Numerical relativity, Gravitational collapse, Neutron stars, Black holes, Gamma-ray bursts},
onlineversion = {http://arXiv.org/abs/astro-ph/0511142},
primaryclass = {astro-ph},
title = {Magnetized hypermassive neutron star collapse: A Central engine for short gamma-ray bursts},
volume = {96},
year = {2006}
}
@article{shibata06c,
adsurl = {http://adsabs.harvard.edu/abs/2006PhRvD..74l1503S},
archiveprefix = {arXiv},
author = {Shibata, M. and Ury{\={u}}, K.},
cited = {5 September 2007},
doi = {10.1103/PhysRevD.74.121503},
eid = {121503(R)},
eprint = {gr-qc/0612142},
journal = {Phys. Rev. D},
keywords = {Relativistic hydrodynamics, Numerical relativity, Binary systems, Neutron stars, Black holes, Gamma-ray bursts},
onlineversion = {http://arXiv.org/abs/gr-qc/0612142},
primaryclass = {gr-qc},
title = {Merger of black hole-neutron star binaries: Nonspinning black hole case},
volume = {74},
year = {2006}
}
@article{shibata06d,
adsurl = {http://adsabs.harvard.edu/abs/2006PhRvD..73f4027S},
archiveprefix = {arXiv},
author = {Shibata, M. and Taniguchi, K.},
cited = {5 September 2007},
doi = {10.1103/PhysRevD.73.064027},
eid = {064027},
eprint = {astro-ph/0603145},
journal = {Phys. Rev. D},
keywords = {Relativistic hydrodynamics, Numerical relativity, Binary systems, Neutron stars, Black holes, Gamma-ray bursts},
onlineversion = {http://arXiv.org/abs/astro-ph/0603145},
primaryclass = {astro-ph},
title = {Merger of binary neutron stars to a black hole: Disk mass, short gamma-ray bursts, and quasinormal mode ringing},
volume = {73},
year = {2006}
}
@article{shibata07,
author = {Shibata, M. and Sekiguchi, Y. and Takahashi, R.},
cited = {5 September 2007},
doi = {10.1143/PTP.118.257},
journal = {Prog. Theor. Phys.},
keywords = {Numerical relativistic magnetohydrodynamics, Black holes, Accretion disks, Gamma-ray bursts},
onlineversion = {http://arXiv.org/abs/0709.1766},
pages = {257--302},
title = {Magnetohydrodynamics of Neutrino-Cooled Accretion Tori around a Rotating Black Hole in General Relativity},
volume = {118},
year = {2007}
}
@article{shibata07b,
adsurl = {http://adsabs.harvard.edu/abs/2007CQGra..24..125S},
archiveprefix = {arXiv},
author = {Shibata, M. and Ury{\={u}}, K.},
cited = {5 September 2007},
doi = {10.1088/0264-9381/24/12/S09},
eprint = {astro-ph/0611522},
journal = {Class. Quantum Grav.},
keywords = {Relativistic hydrodynamics, Numerical relativity, Binary systems, Neutron stars, Black holes, Gamma-ray bursts},
onlineversion = {http://arXiv.org/abs/astro-ph/0611522},
pages = {S125--S138},
primaryclass = {astro-ph},
title = {Merger of black hole-neutron star binaries in full general relativity},
volume = {24},
year = {2007}
}
@article{shibata07c,
adsurl = {http://adsabs.harvard.edu/abs/2008PhRvD..77h4015S},
archiveprefix = {arXiv},
author = {Shibata, M. and Taniguchi, K.},
cited = {5 December 2007},
doi = {10.1103/PhysRevD.77.084015},
eid = {084015},
eprint = {0711.1410},
journal = {Phys. Rev. D},
keywords = {Relativistic hydrodynamics, Numerical relativity, Binary systems, Neutron stars, Black holes, Gamma-ray bursts},
primaryclass = {gr-qc},
title = {Merger of black hole and neutron star in general relativity: Tidal disruption, torus mass, and gravitational waves},
volume = {77},
year = {2008}
}
@article{seidel87,
adsurl = {http://adsabs.harvard.edu/abs/1987PhRvD..35.2287S},
author = {Seidel, E. and Moore, T.},
doi = {10.1103/PhysRevD.35.2287},
journal = {Phys. Rev. D},
keywords = {Gravitational collapse, Gravitational radiation, Perturbation theory, Relativistic stars},
pages = {2287--2296},
title = {Gravitational radiation from realistic relativistic stars: Odd-parity fluid perturbations},
volume = {35},
year = {1987}
}
@article{seidel88,
author = {Seidel, E. and Myra, E. S. and Moore, T.},
journal = {Phys. Rev. D},
keywords = {Gravitational collapse, Gravitational radiation, Perturbation theory, Relativistic stars, Supernovae},
pages = {2349--2356},
title = {Gravitational radiation from type-II supernovae: The effect of the high-density equation of state},
volume = {38},
year = {1988}
}
@article{shu87,
author = {Shu, C. W.},
doi = {10.2307/2008252},
journal = {Math. Comput.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods},
pages = {105--121},
title = {TVB uniformly high-order schemes for conservation laws},
volume = {49},
year = {1987}
}
@article{siebel02a,
adsurl = {http://adsabs.harvard.edu/abs/2002PhRvD..65b4021S},
archiveprefix = {arXiv},
author = {Siebel, F. and Font, J. A. and Papadopoulos, P.},
cited = {13 June 2002},
doi = {10.1103/PhysRevD.65.024021},
eid = {024021},
eprint = {gr-qc/0108006},
journal = {Phys. Rev. D},
keywords = {Einstein equations, Gravitational collapse, Initial value problem, Null surfaces, Numerical methods, Numerical relativistic hydrodynamics, Numerical relativity, Relativistic stars},
numpages = {10},
onlineversion = {http://arXiv.org/abs/gr-qc/0108006},
title = {Scalar field induced oscillations of relativistic stars and gravitational collapse},
volume = {65},
year = {2001}
}
@article{siebel02b,
adsurl = {http://adsabs.harvard.edu/abs/2002PhRvD..65f4038S},
archiveprefix = {arXiv},
author = {Siebel, F. and Font, J. A. and M{\"{u}}ller, E. and Papadopoulos, P.},
cited = {13 June 2002},
doi = {10.1103/PhysRevD.65.064038},
eid = {064038},
eprint = {gr-qc/0111093},
journal = {Phys. Rev. D},
keywords = {Einstein equations, Initial value problem, Null surfaces, Numerical methods, Numerical relativistic hydrodynamics, Numerical relativity, Relativistic stars},
numpages = {15},
onlineversion = {http://arXiv.org/abs/gr-qc/0111093},
title = {Simulating the dynamics of relativistic stars via a light-cone approach},
volume = {65},
year = {2002}
}
@article{siebel03,
adsurl = {http://adsabs.harvard.edu/abs/2003PhRvD..67l4018S},
archiveprefix = {arXiv},
author = {Siebel, F. and Font, J. A. and M{\"{u}}ller, E. and Papadopoulos, P.},
cited = {1 June 2007},
doi = {10.1103/PhysRevD.67.124018},
eid = {124018},
eprint = {gr-qc/0301127},
journal = {Phys. Rev. D},
keywords = {Relativistic hydrodynamics, Numerical methods, Einstein equations, Numerical relativity, Null surfaces, Initial value problem, Gravitational collapse},
numpages = {16},
onlineversion = {http://arXiv.org/abs/gr-qc/0301127},
title = {Axisymmetric core collapse simulations using characteristic numerical relativity},
volume = {67},
year = {2003}
}
@article{siegler99,
author = {Siegler, S. and Riffert, H.},
cited = {1 May 1999},
doi = {10.1086/308482},
journal = {Astrophys. J.},
keywords = {Computational fluid dynamics, Numerical methods, Relativistic hydrodynamics, Smoothed particle methods},
onlineversion = {http://arXiv.org/abs/astro-ph/9904070},
pages = {1053--1066},
title = {Smoothed Particle Hydrodynamics Simulations of Ultrarelativistic Shocks with Artificial Viscosity},
volume = {531},
year = {2000}
}
@phdthesis{smarr75,
address = {Austin, U.S.A.},
author = {Smarr, L. L.},
format = {phd},
keywords = {ADM formalism, Black holes, Cauchy problem, Constraint equations, Einstein equations, Gauge conditions, Initial value problem, Numerical methods, Numerical relativity},
school = {University of Texas},
title = {The structure of general relativity with a numerical illustration: the collision of two black holes},
year = {1975}
}
@preprint{sperhake01a,
author = {Sperhake, U. and Papadopoulos, P. and Andersson, N.},
cited = {5 July 2002},
format = {arxiv},
keywords = {Numerical relativistic hydrodynamics, Pulsation, Relativistic stars},
title = {Non-linear radial oscillations of neutron stars: Mode-coupling results},
url = {http://arXiv.org/abs/astro-ph/0110487},
year = {2001}
}
@article{spruit98,
author = {Spruit, H. C. and Phinney, E. S.},
doi = {10.1038/30168},
journal = {Nature},
keywords = {Magnetic fields, Stellar evolution, Supernovae, Pulsars, Neutron stars, Rotation},
pages = {139--141},
title = {Birth kicks as the origin of pulsar rotation},
volume = {393},
year = {1998}
}
@article{stark85,
adsurl = {http://adsabs.harvard.edu/abs/1985PhRvL..55..891S},
author = {Stark, R. F. and Piran, T.},
doi = {10.1103/PhysRevLett.55.891},
journal = {Phys. Rev. Lett.},
keywords = {Gravitational collapse, Gravitational radiation, Numerical methods, Numerical relativistic hydrodynamics, Numerical relativity},
pages = {891--894},
title = {Gravitational-Wave Emission from Rotating Gravitational Collapse},
volume = {55},
year = {1985}
}
@article{stark87,
author = {Stark, R. F. and Piran, T.},
doi = {10.1016/0167-7977(87)90003-7},
journal = {Comput. Phys. Rep.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Gravitational collapse, Gravitational radiation, Numerical methods, Numerical relativity, Relativistic hydrodynamics},
pages = {221--264},
title = {A general relativistic code for rotating axisymmetric configurations and gravitational radiation: Numerical methods and tests},
volume = {5},
year = {1987}
}
@incollection{stark89,
address = {Cambridge; New York},
author = {Stark, R. F.},
booktitle = {Frontiers in Numerical Relativity},
editor = {Evans, C. R. and Finn, L. S. and Hobill, D. W.},
gbs_id = {dBQ9AAAAIAAJ},
keywords = {Gravitational collapse, Gravitational radiation, Numerical methods, Numerical relativistic hydrodynamics, Numerical relativity},
pages = {281--296},
publisher = {Cambridge University Press},
title = {Non-axisymmetric rotating gravitational collapse and gravitational radiation},
year = {1989}
}
@article{stergioulas01a,
adsurl = {http://adsabs.harvard.edu/abs/2001PhRvL..86.1148S},
author = {Stergioulas, N. and Font, J. A.},
cited = {13 June 2002},
doi = {10.1103/PhysRevLett.86.1148},
eprint = {arXiv:gr-qc/0007086},
journal = {Phys. Rev. Lett.},
keywords = {Numerical relativistic hydrodynamics, Numerical relativity, Relativistic stars},
onlineversion = {http://arXiv.org/abs/gr-qc/0007086},
pages = {1148--1151},
title = {Nonlinear $r$-modes in rapidly rotating relativistic stars},
volume = {86},
year = {2001}
}
@article{stergioulas02,
author = {Stergioulas, N.},
cited = {4 March 2008},
eid = {lrr-2003-3},
journal = {Living Rev. Relativity},
keywords = {Relativistic stars, Neutron stars, Numerical relativity},
title = {Rotating Stars in Relativity},
url = {http://www.livingreviews.org/lrr-2003-3},
volume = {6},
year = {2003}
}
@article{stergioulas04,
adsurl = {http://adsabs.harvard.edu/abs/2004MNRAS.352.1089S},
author = {Stergioulas, N. and Apostolatos, T. A. and Font, J. A.},
cited = {1 September 2007},
doi = {10.1111/j.1365-2966.2004.07973.x},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Relativistic hydrodynamics, Relativistic stars, Neutron stars},
onlineversion = {http://arXiv.org/abs/astro-ph/0312648},
pages = {1089--1101},
title = {Non-linear pulsations in differentially rotating neutron stars: mass-shedding-induced damping and splitting of the fundamental mode},
volume = {352},
year = {2004}
}
@article{swesty94,
author = {Swesty, F. D. and Lattimer, J. M. and Myra, E. S.},
doi = {10.1086/173974},
journal = {Astrophys. J.},
keywords = {Gravitational collapse, Hydrodynamics, Neutron stars, Nuclear physics, Shock waves, Supernovae},
pages = {195--204},
title = {The role of the equation of state in the `prompt' phase of type II supernovae},
volume = {425},
year = {1994}
}
@article{tadmor90,
author = {Nessyahu, H. and Tadmor, E.},
doi = {10.1016/0021-9991(90)90260-8},
journal = {J. Comput. Phys.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic systems, Numerical methods},
pages = {408--463},
title = {Non-oscillatory central differencing for hyperbolic conservation laws},
volume = {87},
year = {1990}
}
@online{tadmorweb,
author = {Tadmor, E.},
cited = {4 September 2008},
format = {personal homepage},
keywords = {Hyperbolic equations, Numerical methods},
publisher = {University of Maryland},
title = {Eitan Tadmor Home Page},
url = {http://www.cscamm.umd.edu/people/faculty/tadmor/}
}
@article{takahashi90,
author = {Takahashi, M. and Nitta, S. and Tatematsu, Y. and Tomimatsu, A.},
doi = {10.1086/169331},
journal = {Astrophys. J.},
keywords = {Relativistic astrophysics, Black holes, Accretion disks, Magnetohydrodynamics (MHD)},
pages = {206--217},
title = {Magnetohydrodynamic flows in Kerr geometry - Energy extraction from black holes},
volume = {363},
year = {1990}
}
@article{tanaka95,
author = {Tanaka, Y. and Nandra, K. and Fabian, A. C. and Inoue, H. and Otani, C. and Dotani, T. and Hayashida, K. and Iwasawa, K. and Kii, T. and Kunieda, H. and Makino, F. and Matsuoka, M.},
doi = {10.1038/375659a0},
journal = {Nature},
keywords = {Accretion disks, Active galactic nuclei, Black holes, Relativistic astrophysics},
pages = {659--661},
title = {Gravitationally redshifted emission implying an accretion disk and massive black hole in the active galaxy MCG-6-30-15},
volume = {375},
year = {1995}
}
@article{taniguchi07,
adsurl = {http://adsabs.harvard.edu/abs/2007PhRvD..75h4005T},
archiveprefix = {arXiv},
author = {Taniguchi, K. and Baumgarte, T. W. and Faber, J. A. and Shapiro, S. L.},
cited = {1 September 2007},
doi = {10.1103/PhysRevD.75.084005},
eid = {084005},
eprint = {gr-qc/0701110},
journal = {Phys. Rev. D},
keywords = {Einstein equations, Relativistic hydrodynamics, Initial value problem, Hyperbolic equations, Elliptic equations, Binary systems, Neutron stars, Black holes},
onlineversion = {http://arXiv.org/abs/gr-qc/0701110},
primaryclass = {gr-qc},
title = {Quasiequilibrium black hole-neutron star binaries in general relativity},
volume = {75},
year = {2007}
}
@article{teukolsky72,
author = {Teukolsky, S. A.},
doi = {10.1103/PhysRevLett.29.1114},
journal = {Phys. Rev. Lett.},
keywords = {Black holes, Kerr metric, Perturbation theory},
pages = {1114--1118},
title = {Rotating black holes: Separable wave equations for gravitational and electromagnetic perturbations},
volume = {29},
year = {1972}
}
@book{toro97,
address = {Berlin, Germany},
author = {Toro, E. F.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic systems, Numerical methods},
publisher = {Springer},
title = {Riemann solvers and numerical methods for fluid dynamics -- a practical introduction},
year = {1997}
}
@article{toropina06,
author = {Toropina, O. D. and Romanova, M. M. and Lovelace, R. V. E.},
cited = {15 February 2007},
doi = {10.1111/j.1365-2966.2006.10667.x},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Computational fluid dynamics, Shock waves, Accretion, Neutron stars, Magnetohydrodynamics (MHD)},
onlineversion = {http://arXiv.org/abs/astro-ph/0606254},
pages = {569--576},
title = {Spinning-down of moving magnetars in the propeller regime},
volume = {371},
year = {2006}
}
@article{torrilhon03,
author = {Torrilhon, M.},
doi = {10.1016/S0021-9991(03)00347-4},
journal = {J. Comput. Phys.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Magnetohydrodynamics (MHD)},
pages = {73--94},
title = {Non-uniform convergence of finite volume schemes for Riemann problems of ideal magnetohydrodynamics},
volume = {192},
year = {2003}
}
@article{toth00,
adsurl = {http://adsabs.harvard.edu/abs/2000JCoPh.161..605T},
author = {T{\'{o}}th, G.},
doi = {10.1006/jcph.2000.6519},
journal = {J. Comput. Phys.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods, Magnetohydrodynamics (MHD)},
pages = {605--652},
title = {The $\nabla\cdot B=0$ Constraint in Shock-Capturing Magnetohydrodynamics Codes},
volume = {161},
year = {2000}
}
@article{vanderklis00,
author = {van der Klis, M.},
cited = {15 November 2007},
journal = {Annu. Rev. Astron. Astrophys.},
keywords = {Relativistic stars, Relativistic astrophysics, Accretion disks, Neutron stars, Black holes},
onlineversion = {http://arXiv.org/abs/astro-ph/0001167},
pages = {717--760},
title = {Millisecond oscillations in X-ray binaries},
volume = {38},
year = {2000}
}
@article{vanleer79,
author = {van Leer, B. J.},
doi = {10.1016/0021-9991(79)90145-1},
journal = {J. Comput. Phys.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods},
pages = {101--136},
title = {Towards the ultimate conservative difference scheme. V. A second order sequel to Godunov's method},
volume = {32},
year = {1979}
}
@article{vanputten91,
author = {van Putten, M. H. P. M.},
journal = {Commun. Math. Phys.},
keywords = {Numerical relativistic magnetohydrodynamics, Hyperbolic equations},
pages = {63--77},
title = {Maxwell's equations in divergence form for general media with applications to MHD},
volume = {141},
year = {1991}
}
@article{vanputten02a,
author = {van Putten, M. H. P. M. and Levinson, A.},
doi = {10.1126/science.1068634},
journal = {Science},
keywords = {Gamma-ray bursts},
pages = {1874--1877},
title = {Detecting Energy Emissions from a Rotating Black Hole},
volume = {295},
year = {2002}
}
@article{vanriper79,
author = {van Riper, K. A.},
doi = {10.1086/157314},
journal = {Astrophys. J.},
keywords = {Black holes, Gravitational collapse, Neutron stars, Nuclear physics, Numerical methods, Relativistic hydrodynamics, Supernovae},
pages = {558--571},
title = {General relativistic hydrodynamics and the adiabatic collapse of stellar cores},
volume = {232},
year = {1979}
}
@article{vonneumann50,
author = {von Neumann, J. and Richtmyer, R. D.},
doi = {10.1063/1.1699639},
journal = {J. Appl. Phys.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Numerical methods, Shock waves},
pages = {232--247},
title = {A method for the numerical calculation of hydrodynamic shocks},
volume = {21},
year = {1950}
}
@article{walder05,
author = {Walder, R. and Burrows, A. and Ott, C. D. and Livne, E. and Lichtenstadt, I. and Jarrah, M.},
cited = {15 October 2007},
doi = {10.1086/429816},
journal = {Astrophys. J.},
keywords = {Hydrodynamics, Neutron stars, Gravitational collapse, Supernovae, Neutrinos, Nuclear physics},
onlineversion = {http://arXiv.org/abs/astro-ph/0412187},
pages = {317--332},
title = {Anisotropies in the Neutrino Fluxes and Heating Profiles in Two-dimensional, Time-dependent, Multigroup Radiation Hydrodynamics Simulations of Rotating Core-Collapse Supernovae},
volume = {626},
year = {2005}
}
@article{watanabe06,
author = {Watanabe, N. and Yokoyama, T.},
cited = {15 October 2007},
doi = {10.1086/507520},
journal = {Astrophys. J. Lett.},
keywords = {Computational fluid dynamics, Numerical relativistic magnetohydrodynamics},
onlineversion = {http://arXiv.org/abs/astro-ph/0607285},
pages = {L123--L126},
title = {Two-dimensional Magnetohydrodynamic Simulations of Relativistic Magnetic Reconnection},
volume = {647},
year = {2006}
}
@article{wen97,
author = {Wen, L. and Panaitescu, A. and Laguna, P.},
cited = {15 February 2000},
doi = {10.1086/304547},
journal = {Astrophys. J.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods, Relativistic hydrodynamics},
onlineversion = {http://arXiv.org/abs/astro-ph/9612045},
pages = {919--927},
title = {A shock-patching code for ultrarelativistic fluid flows},
volume = {486},
year = {1997}
}
@article{wham,
author = {Tchekhovskoy, A. and McKinney, J. C. and Narayan, R.},
cited = {15 October 2007},
doi = {10.1111/j.1365-2966.2007.11876.x},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Computational fluid dynamics, Relativistic hydrodynamics, Numerical relativistic magnetohydrodynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods},
onlineversion = {http://arXiv.org/abs/arXiv:0704.2608},
pages = {469--497},
title = {WHAM: a WENO-based general relativistic numerical scheme - I. Hydrodynamics},
volume = {379},
year = {2007}
}
@article{wilson72,
adsurl = {http://adsabs.harvard.edu/abs/1972ApJ...173..431W},
author = {Wilson, J. R.},
doi = {10.1086/151434},
journal = {Astrophys. J.},
keywords = {Black holes, Accretion, Relativistic hydrodynamics, Numerical methods},
pages = {431--438},
title = {Numerical Study of Fluid Flow in a Kerr Space},
volume = {173},
year = {1972}
}
@inproceedings{wilson77,
address = {Amsterdam},
author = {Wilson, J. R.},
booktitle = {First Marcel Grossmann Meeting on General Relativity},
conference = {Proceedings of the meeting held at the International Centre for Theoretical Physics, Trieste and Istituto di fisica, University of Trieste, 7\,--\,12 July 1975},
editor = {Ruffini, R.},
keywords = {Numerical methods, Numerical relativistic magnetohydrodynamics, Black holes},
pages = {393--413},
publisher = {North-Holland},
title = {Magnetohydrodynamics near a black hole},
year = {1977}
}
@inproceedings{wilson79,
address = {Cambridge; New York},
author = {Wilson, J. R.},
booktitle = {Sources of Gravitational Radiation},
conference = {Proceedings of the Battelle Seattle Workshop, July 24\,--\,August 4, 1978},
editor = {Smarr, L. L.},
keywords = {Computational fluid dynamics, Numerical methods, Numerical relativistic hydrodynamics, Relativistic hydrodynamics},
pages = {423--445},
publisher = {Cambridge University Press},
title = {A Numerical Method for Relativistic Hydrodynamics},
year = {1979}
}
@inproceedings{wilson85,
address = {Boston, U.S.A.},
author = {Wilson, J. R.},
booktitle = {Numerical astrophysics},
conference = {Proceedings of a symposium in honor of James R. Wilson, held at the University of Illinois in October, 1982},
editor = {Centrella, J. M. and LeBlanc, J. M. and Bowers, R. L.},
keywords = {Gravitational collapse, Neutrinos, Numerical relativistic hydrodynamics, Shock waves, Supernovae},
pages = {422--434},
publisher = {Jones and Bartlett},
title = {Supernovae and post-collapse behaviour},
year = {1985}
}
@inproceedings{wilson89,
address = {Cambridge; New York},
adsurl = {http://adsabs.harvard.edu/abs/1989fnr..book..306W},
author = {Wilson, J. R. and Mathews, G. J.},
booktitle = {Frontiers in Numerical Relativity},
conference = {Proceedings of the International Workshop on Numerical Relativity, University of Illinois at Urbana-Champaign, USA, 9\,--\,13 May 1988},
editor = {Evans, C. R. and Finn, L. S. and Hobill, D. W.},
keywords = {Numerical methods, Numerical relativistic hydrodynamics, Relativistic hydrodynamics},
pages = {306--314},
publisher = {Cambridge University Press},
title = {Relativistic hydrodynamics},
year = {1989}
}
@article{wilson95,
adsurl = {http://adsabs.harvard.edu/abs/1995PhRvL..75.4161W},
author = {Wilson, J. R. and Mathews, G. J.},
doi = {10.1103/PhysRevLett.75.4161},
journal = {Phys. Rev. Lett.},
keywords = {Binary systems, Computational fluid dynamics, Einstein equations, Gravitational collapse, Neutron stars, Nuclear physics, Numerical relativistic hydrodynamics, Post-Newtonian approximations, Relativistic hydrodynamics},
pages = {4161--4164},
title = {Instabilities in Close Neutron Star Binaries},
volume = {75},
year = {1995}
}
@article{wilson96,
adsurl = {http://adsabs.harvard.edu/abs/1996PhRvD..54.1317W},
archiveprefix = {arXiv},
author = {Wilson, J. R. and Mathews, G. J. and Marronetti, P.},
cited = {1 September 1996},
doi = {10.1103/PhysRevD.54.1317},
eprint = {gr-qc/9601017},
journal = {Phys. Rev. D},
keywords = {Binary systems, Computational fluid dynamics, Einstein equations, Gravitational collapse, Neutron stars, Nuclear physics, Numerical relativistic hydrodynamics, Post-Newtonian approximations, Relativistic hydrodynamics},
onlineversion = {http://arXiv.org/abs/gr-qc/9601017},
pages = {1317--1331},
primaryclass = {gr-qc},
title = {Relativistic numerical model for close neutron star binaries},
volume = {54},
year = {1996}
}
@book{wilson03,
address = {Cambridge, England},
author = {Wilson, J. R. and Mathews, G. J.},
gbs_id = {DGSpO1yBPgIC},
keywords = {Relativistic hydrodynamics, Numerical relativistic magnetohydrodynamics, Relativistic astrophysics, Numerical methods, Computational fluid dynamics},
publisher = {Cambridge University Press},
title = {Relativistic numerical hydrodynamics},
year = {2003}
}
@article{winicour05,
author = {Winicour, J.},
cited = {1 October 2007},
eid = {lrr-2005-10},
journal = {Living Rev. Relativity},
keywords = {Einstein equations, Numerical relativity, Null surfaces, Initial value problem, Gauge conditions, Numerical methods},
title = {Characteristic Evolution and Matching},
url = {http://www.livingreviews.org/lrr-2005-10},
volume = {8},
year = {2005}
}
@article{woodward84,
author = {Woodward, P. R. and Colella, P.},
doi = {10.1016/0021-9991(84)90142-6},
journal = {J. Comput. Phys.},
keywords = {Computational fluid dynamics, Hydrodynamics, Numerical methods, Shock waves},
pages = {115--173},
title = {The numerical simulation of two-dimensional fluid flow with strong shocks},
volume = {54},
year = {1984}
}
@article{woosley88,
author = {Woosley, S. E. and Pinto, P. A. and Ensman, L.},
doi = {10.1086/165908},
journal = {Astrophys. J.},
keywords = {Astrophysics, Gravitational collapse, Supernovae},
pages = {466--489},
title = {Supernova 1987A: Six weeks later},
volume = {324},
year = {1988}
}
@article{woosley93,
adsurl = {http://adsabs.harvard.edu/abs/1993ApJ...405..273W},
author = {Woosley, S. E.},
doi = {10.1086/172359},
journal = {Astrophys. J.},
keywords = {Accretion disks, Black holes, Gamma-ray bursts, Relativistic astrophysics},
pages = {273--277},
title = {Gamma-ray bursts from stellar mass accretion disks around black holes},
volume = {405},
year = {1993}
}
@article{woosley05,
author = {Woosley, S. E. and Janka, H.-T.},
cited = {15 November 2007},
doi = {10.1038/nphys172},
journal = {Nature Phys.},
keywords = {Relativistic astrophysics, Gravitational collapse, Supernovae, Neutron stars, Black holes},
onlineversion = {http://arXiv.org/abs/astro-ph/0601261},
pages = {147--154},
title = {The physics of core-collapse supernovae},
volume = {1},
year = {2005}
}
@article{yamada96,
author = {Yamada, S.},
cited = {15 February 2000},
doi = {10.1086/303548},
journal = {Astrophys. J.},
keywords = {Numerical methods, Relativistic hydrodynamics, Supernovae},
onlineversion = {http://arXiv.org/abs/astro-ph/9601042},
pages = {720--739},
title = {An implicit Lagrangian code for spherically symmetric general relativistic hydrodynamics with an approximate Riemann solver},
volume = {475},
year = {1997}
}
@article{yamada04,
author = {Yamada, S. and Sawai, H.},
doi = {10.1086/420760},
journal = {Astrophys. J.},
keywords = {Supernovae, Gravitational collapse, Magnetohydrodynamics (MHD)},
pages = {907--924},
title = {Numerical Study on the Rotational Collapse of Strongly Magnetized Cores of Massive Stars},
volume = {608},
year = {2004}
}
@article{yee87,
author = {Yee, H. C.},
doi = {10.1016/0021-9991(87)90049-0},
journal = {J. Comput. Phys.},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods},
pages = {151--179},
title = {Construction of explicit and implicit symmetric TVD schemes and their applications},
volume = {68},
year = {1987}
}
@inproceedings{yee89,
address = {Rhode-Saint-Gen\`{e}se, Belgium},
author = {Yee, H. C.},
booktitle = {Computational Fluid Dynamics},
editor = {},
keywords = {Computational fluid dynamics, Finite difference methods, Finite volume methods, Hyperbolic equations, Numerical methods},
publisher = {von Karman Institute for Fluid Dynamics},
series = {VKI Lecture Series},
title = {A class of high-resolution explicit and implicit shock-capturing methods},
volume = {04},
year = {1989}
}
@article{yokosawa93,
author = {Yokosawa, M.},
journal = {Publ. Astron. Soc. Japan},
keywords = {Accretion disks, Active galactic nuclei, Black holes, Relativistic hydrodynamics, Relativistic magnetohydrodynamics},
pages = {207--218},
title = {Energy and angular momentum transport in magnetohydrodynamical accretion onto a rotating black hole},
volume = {45},
year = {1993}
}
@article{yokosawa95,
author = {Yokosawa, M.},
journal = {Publ. Astron. Soc. Japan},
keywords = {Accretion disks, Active galactic nuclei, Black holes, Numerical relativistic hydrodynamics},
pages = {605--615},
title = {Structure and dynamics of an accretion disk around a black hole},
volume = {47},
year = {1995}
}
@inproceedings{york79,
address = {Cambridge; New York},
adsurl = {http://adsabs.harvard.edu/abs/1979sgrr.work...83Y},
author = {York Jr, J. W.},
booktitle = {Sources of Gravitational Radiation},
conference = {Proceedings of the Battelle Seattle Workshop, July 24\,--\,August 4, 1978},
editor = {Smarr, L. L.},
gbs_id = {rJBOAAAAIAAJ{\&}pg=PA83},
keywords = {ADM formalism, Cauchy problem, Constraint equations, Einstein equations, Energy and momentum, Gauge conditions, Initial value problem},
pages = {83--126},
publisher = {Cambridge University Press},
title = {Kinematics and Dynamics of General Relativity},
year = {1979}
}
@article{zampieri96,
author = {Zampieri, L. and Miller, J. C. and Turolla, R.},
cited = {15 February 2000},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Accretion, Accretion disks, Black holes, Hydrodynamics, Numerical methods},
onlineversion = {http://arXiv.org/abs/astro-ph/9607030},
pages = {1183--1196},
title = {Time-dependent analysis of spherical accretion on to black holes},
volume = {281},
year = {1996}
}
@article{zanotti02,
author = {Rezzolla, L. and Zanotti, O. and Pons, J. A.},
cited = {15 July 2002},
doi = {10.1017/S0022112002003506},
journal = {J. Fluid Mech.},
keywords = {Relativistic hydrodynamics},
onlineversion = {http://arXiv.org/abs/gr-qc/0205034},
pages = {199--219},
title = {An Improved Exact Riemann Solver for Multidimensional Relativistic Flows},
volume = {479},
year = {2003}
}
@article{zanotti03,
adsurl = {http://adsabs.harvard.edu/abs/2003MNRAS.341..832Z},
author = {Zanotti, O. and Rezzolla, L. and Font, J. A.},
cited = {15 July 2007},
doi = {10.1046/j.1365-8711.2003.06474.x},
eprint = {gr-qc/0210018},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Relativistic hydrodynamics, Accretion, Accretion disks, Black holes, Gravitational waves},
onlineversion = {http://arXiv.org/abs/gr-qc/0210018},
pages = {832--848},
title = {Quasi-periodic accretion and gravitational waves from oscillating `toroidal neutron stars' around a Schwarzschild black hole},
volume = {341},
year = {2003}
}
@article{zanotti05,
adsurl = {http://adsabs.harvard.edu/abs/2005MNRAS.356.1371Z},
author = {Zanotti, O. and Font, J. A. and Rezzolla, L. and Montero, P. J.},
cited = {15 July 2007},
doi = {10.1111/j.1365-2966.2004.08567.x},
eprint = {astro-ph/0411116},
journal = {Mon. Not. R. Astron. Soc.},
keywords = {Relativistic hydrodynamics, Accretion, Accretion disks, Black holes, Gravitational waves},
onlineversion = {http://arXiv.org/abs/astro-ph/0411116},
pages = {1371--1382},
title = {Dynamics of oscillating relativistic tori around Kerr black holes},
volume = {356},
year = {2005}
}
@article{zhang03,
author = {Zhang, W. and Woosley, S. E. and MacFadyen, A. I.},
cited = {15 November 2007},
doi = {10.1086/367609},
journal = {Astrophys. J. Lett.},
keywords = {Relativistic hydrodynamics, Gamma-ray bursts, Extragalactic jets},
onlineversion = {http://arXiv.org/abs/astro-ph/0207436},
pages = {356--371},
title = {Relativistic jets in collapsars},
volume = {586},
year = {2003}
}
@article{zink06,
adsurl = {http://adsabs.harvard.edu/abs/2006PhRvL..96p1101Z},
author = {Zink, B. and Stergioulas, N. and Hawke, I. and Ott, C. D. and Schnetter, E. and M{\"{u}}ller, E.},
cited = {15 September 2007},
doi = {10.1103/PhysRevLett.96.161101},
eid = {161101},
journal = {Phys. Rev. Lett.},
keywords = {Relativistic hydrodynamics, Numerical relativity, Black holes, Gravitational collapse},
onlineversion = {http://arXiv.org/abs/gr-qc/0501080},
title = {Formation of Supermassive Black Holes through Fragmentation of Torodial Supermassive Stars},
volume = {96},
year = {2006}
}
@article{zink07,
adsurl = {http://adsabs.harvard.edu/abs/2007PhRvD..76b4019Z},
author = {Zink, B. and Stergioulas, N. and Hawke, I. and Ott, C. D. and Schnetter, E. and M{\"{u}}ller, E.},
cited = {15 July 2007},
doi = {10.1103/PhysRevD.76.024019},
eid = {024019},
journal = {Phys. Rev. D},
keywords = {Relativistic hydrodynamics, Numerical relativity, Relativistic stars, Black holes, Gravitational collapse},
onlineversion = {http://arXiv.org/abs/astro-ph/0611601},
title = {Nonaxisymmetric instability and fragmentation of general relativistic quasitoroidal stars},
volume = {76},
year = {2007}
}
@article{zwerger97,
adsurl = {http://adsabs.harvard.edu/abs/1997A&A...320..209Z},
author = {Zwerger, T. and M{\"{u}}ller, E.},
journal = {Astron. Astrophys.},
keywords = {Gravitational collapse, Gravitational radiation},
pages = {209--227},
title = {Dynamics and gravitational wave signature of axisymmetric rotational core collapse},
volume = {320},
year = {1997}
}
@article{bodenheimer83a,
author = {Bodenheimer, P. and Woosley, S. E.},
doi = {10.1086/161040},
journal = {Astrophys. J.},
keywords = {Supernovae, Gravitational collapse, Computational fluid dynamics},
pages = {281--291},
title = {A two-dimensional supernova model with rotation and nuclear burning},
volume = {269},
year = {1983}
}
@article{moenchmeyer91a,
adsurl = {http://adsabs.harvard.edu/abs/1991A&A...246..417M},
author = {M{\"{o}}nchmeyer, R. and Sch{\"{a}}fer, G. and M{\"{u}}ller, E. and Kates, R. E.},
journal = {Astron. Astrophys.},
keywords = {Gravitational collapse, Gravitational radiation},
pages = {417--440},
title = {Gravitational waves from the collapse of rotating stellar cores},
volume = {246},
year = {1991}
}
@article{janka89a,
author = {Janka, H.-T. and M{\"{o}}nchmeyer, R.},
journal = {Astron. Astrophys.},
keywords = {Gravitational collapse, Gravitational radiation},
pages = {69--87},
title = {Hydrostatic post bounce configurations of collapse rotating cores: neutrino emission},
volume = {226},
year = {1989}
}
@article{imshennik92a,
author = {Imshennik, V. S. and Nadezhin, D. K.},
journal = {Sov. Astron. Lett.},
keywords = {Gravitational collapse, Supernovae},
pages = {79--88},
title = {SN 1987A and rotating neutron star formation},
volume = {18},
year = {1992}
}
@article{yamada94a,
author = {Yamada, S. and Sato, K.},
doi = {10.1086/174724},
journal = {Astrophys. J.},
keywords = {Supernovae, Gravitational collapse},
pages = {268--276},
title = {Numerical study of rotating core collapse in supernova explosions},
volume = {434},
year = {1994}
}
@article{finn90a,
adsurl = {http://adsabs.harvard.edu/abs/1990ApJ...351..588F},
author = {Finn, L. S. and Evans, C. R.},
doi = {10.1086/168497},
journal = {Astrophys. J.},
keywords = {Gravitational collapse, Gravitational radiation},
pages = {588--600},
title = {Determining Gravitational Radiation from Newtonian Self-Gravitating Systems},
volume = {351},
year = {1990}
}
@article{font00b,
author = {Font, J. A.},
cited = {3 March 2008},
eid = {lrr-2000-2},
journal = {Living Rev. Relativity},
keywords = {Hydrodynamics, Numerical relativity},
title = {Numerical Hydrodynamics in General Relativity},
url = {http://www.livingreviews.org/lrr-2000-2},
volume = {3},
year = {2000}
}
@article{font03,
author = {Font, J. A.},
cited = {3 March 2008},
eid = {lrr-2003-4},
journal = {Living Rev. Relativity},
keywords = {Hydrodynamics, Relativistic hydrodynamics},
title = {Numerical Hydrodynamics in General Relativity},
url = {http://www.livingreviews.org/lrr-2003-4},
volume = {6},
year = {2003}
}