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The tremendous challenge of comparing our theoretical models with the gravitational-wave observations in the new era of multimessenger astronomy requires accurate and fast numerical simulations of complicated physical systems described by the Einstein and the matter equations.
A. Harten, P. D. Lax, and B. van Leer, SIAM Review 25
1983
Earlier work this paper cites.
P. Colella and P. R. Woodward, Journal of Computational Physics 54
1984
Earlier work this paper cites.
E. Hairer, S. P. Norsett, and G. Wanner, Solving Ordinary Differential Equations I (Springer-Verlag Berlin Heidelberg, 1987), ISBN 978-3-662-12607-3
1987
Earlier work this paper cites.
M. Brio and C. C. Wu, Journal of Computational Physics 75
1988
Earlier work this paper cites.
C. Bona, J. Massó, E. Seidel, and J. Stela, Physical Review Letters 75
1995
Earlier work this paper cites.
G.-S. Jiang and C.-W. Shu, Journal of Computational Physics 126
1996
Earlier work this paper cites.
E. Toro, Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction (Springer, 1997), ISBN 9783540616764, URL https://books.google.es/books?id=6QFAAQAAIAAJ
1997
Earlier work this paper cites.
A. Suresh and H. Huynh, Journal of Computational Physics 136
1997
Earlier work this paper cites.
C.-W. Shu, Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws (Springer Berlin Heidelberg, Berlin, Heidelberg, 1998), pp. 325–432, ISBN 978-3-540-49804-9, URL https://doi.org/10.1007/BFb0096355
1998
Earlier work this paper cites.
G. Tóth, Journal of Computational Physics 161
2000
Earlier work this paper cites.
G. B. Cook, Living Reviews in Relativity 3
2000
Earlier work this paper cites.
R. D. Hornung and S. R. Kohn, Concurrency and Computation: Practice and Experience 14
2002
Earlier work this paper cites.
A. Dedner, F. Kemm, D. Kröner, C.-D. Munz, T. Schnitzer, and M. Wesenberg, Journal of Computational Physics 175
2002
Earlier work this paper cites.
S. L. Liebling, Phys. Rev. D 66
2002
Earlier work this paper cites.
T. Goodale, G. Allen, G. Lanfermann, J. Massó, T. Radke, E. Seidel, and J. Shalf, in Proceedings of the 5th international conference on High performance computing for computational science (Springer-Verlag, Berlin, Heidelberg, 2003), VECPAR’02, pp. 197–227, ISBN 3-540-00852-7, URL http://dl.acm.org/citation.cfm?id=1766851.1766868
2003
Earlier work this paper cites.
K. Sebastian and C.-W. Shu, Journal of Scientific Computing 19
2003
Earlier work this paper cites.
C. Bona, T. Ledvinka, C. Palenzuela, and M. Žáček, Phys. Rev. D 67
2003
Cited alongside, same era.
M. Alcubierre, B. Brügmann, P. Diener, M. Koppitz, D. Pollney, E. Seidel, and R. Takahashi, Phys. Rev. D 67
2003
Cited alongside, same era.
G. Calabrese, L. Lehner, O. Reula, O. Sarbach, and M. Tiglio, Classical and Quantum Gravity 21
2004
Cited alongside, same era.
P. Fritzson, P. Aronsson, A. Pop, H. Lundvall, K. Nystrom, L. Saldamli, D. Broman, and A. Sandholm, in Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control, 2006 IEEE (IEEE, 2006), pp. 1588–1595
2006
Cited alongside, same era.
L. Lehner, S. L. Liebling, and O. Reula, Classical and Quantum Gravity 23
2006
Cited alongside, same era.
D. Alic, C. Bona-Casas, C. Bona, L. Rezzolla, and C. Palenzuela, Phys. Rev. D 85
2012
Later among the works it cites.
A. Arbona, A. Artigues, C. Bona-Casas, J. Massó, B. Miñano, A. Rigo, M. Trias, and C. Bona, Computer Physics Communications 184
2013
Later among the works it cites.
B. Gustafsson, H.-O. Kreiss, and J. Oliger, Time-Dependent Problems and Difference Methods (John Wiley and Sons, Inc., 2013)
2013
Later among the works it cites.
E. Schnetter, M. Blazewicz, S. R. Brandt, D. M. Koppelman, and F. Löffler, Computing in Science Engineering 17
2015
Later among the works it cites.
Samrai project website. (2015), URL https://computation.llnl.gov/project/SAMRAI/
2015
Later among the works it cites.
B. Mongwane, General Relativity and Gravitation 47
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H. Jasak, A. Jemcov, and v. Toković, in International Workshop on Coupled Methods in Numerical Dynamics (2007), IUC, URL http://cmnd2007.fsb.hr/proc/jasak.pdf
2007
Cited alongside, same era.
L. Del Zanna, O. Zanotti, N. Bucciantini, and P. Londrillo, Astronomy and Astrophysics 473
2007
Cited alongside, same era.
J. C. Butcher, Numerical Methods for Ordinary Differential Equations (John Wiley and Sons, Ltd, 2008), ISBN 9780470753767, URL http://dx.doi.org/10.1002/9780470753767.fmatter
2008
Cited alongside, same era.
J. M. Stone, T. A. Gardiner, P. Teuben, J. F. Hawley, and J. B. Simon, The Astrophysical Journal Supplement Series 178
2008
Cited alongside, same era.
B. Brügmann, J. A. González, M. Hannam, S. Husa, U. Sperhake, and W. Tichy, Phys. Rev. D 77
2008
Cited alongside, same era.
R. Borges, M. Carmona, B. Costa, and W. S. Don, Journal of Computational Physics 227
2008
Cited alongside, same era.
C. Bona, C. Bona-Casas, and J. Terradas, Journal of Computational Physics 228
2009
Cited alongside, same era.
2015
Later among the works it cites.
F. Rathgeber, D. A. Ham, L. Mitchell, M. Lange, F. Luporini, A. T. McRae, G.-T. Bercea, G. R. Markall, and P. H. Kelly, ACM Transactions on Mathematical Software (TOMS) 43
2016
Later among the works it cites.
B. T. Gunney and R. W. Anderson, Journal of Parallel and Distributed Computing 89
2016
Later among the works it cites.
N. T. Bishop and L. Rezzolla, Living Reviews in Relativity 19
2016
Later among the works it cites.
B. P. Abbott et al. (Virgo), Phys. Rev. Lett. 118
2017
Later among the works it cites.
D. S. Balsara, Living Reviews in Computational Astrophysics 3
2017
Later among the works it cites.
M. Bezares, C. Palenzuela, and C. Bona, Phys. Rev. D 95
2017
Later among the works it cites.
C. Palenzuela, P. Pani, M. Bezares, V. Cardoso, L. Lehner, and S. Liebling, Phys. Rev. D 96
2017
Later among the works it cites.
Simflowny project website. (2018), URL https://bitbucket.org/iac3/simflowny/overview
2018
Closest in time.
A. Arbona, B. Miñano, A. Rigo, C. Bona, C. Palenzuela, A. Artigues, C. Bona-Casas, and J. Massó, Computer Physics Communications 229
2018
Closest in time.