Improved constrained scheme for the Einstein equations: An approach to the uniqueness issue

@inproceedings{CorderoCarrion2008ImprovedCS,
  title={Improved constrained scheme for the Einstein equations: An approach to the uniqueness issue},
  author={Isabel Cordero-Carri'on and Pablo Cerd'a-Dur'an and Harald Dimmelmeier and Jos'e Luis Jaramillo and J. Novak and E. Gourgoulhon},
  year={2008}
}
Isabel Cordero-Carrión, ∗ Pablo Cerdá-Durán, † Harald Dimmelmeier, ‡ José Luis Jaramillo, 5, § Jérôme Novak, ¶ and Eric Gourgoulhon ∗∗ Departamento de Astronomı́a y Astrof́ısica, Universidad de Valencia, C/ Dr. Moliner 50, E-46100 Burjassot, Valencia, Spain Max-Planck-Institut für Astrophysik, Karl-Schwarzschild-Strasse 1, D-85741 Garching, Germany Department of Physics, Aristotle University of Thessaloniki, GR-54124 Thessaloniki, Greece Instituto de Astrof́ısica de Andalućıa, CSIC, Apartado… Expand

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References

SHOWING 1-10 OF 54 REFERENCES
Improved constrained scheme for the Einstein equations: An approach to the uniqueness issue
The fully constrained formulation (FCF) proposed by Bonazzola, Gourgoulhon, Grand‐clement, and Novak is one of the constrained formulations of Einstein’s equations. It contains as an approximationExpand
Introduction to 3+1 Numerical Relativity
This is the first major textbook on the methods of numerical relativity. The selection of material is based on what is known to work reliably in astrophysical applications and would therefore beExpand
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)Expand
Phd by thesis
Deposits of clastic carbonate-dominated (calciclastic) sedimentary slope systems in the rock record have been identified mostly as linearly-consistent carbonate apron deposits, even though mostExpand
Diff
  • Equat. 2, 497
  • 2005
Classical Quantum Gravity 25
  • 135009
  • 2008
Int
  • J. Mod. Phys. D 17, 265
  • 2008
Phys
  • Rev. D 77, 084007
  • 2008
Phys
  • Rev. D 74, 121503(R) (2006); Class. Quantum Grav. 24, S125
  • 2007
Phys
  • Rev. D 71, 024035
  • 2005
...
1
2
3
4
5
...