-
1
-
-
0034341022
-
Test-beds and applications for apparent horizon finders in numerical relativity
-
Alcubierre M, Brandt S, Brügmann B, Gundlach C, Massó J, Seidel E and Walker P 2000 Test-beds and applications for apparent horizon finders in numerical relativity Class. Quantum Grav. 17 2159-90
-
(2000)
Class. Quantum Grav.
, vol.17
, pp. 2159-2190
-
-
Alcubierre, M.1
Brandt, S.2
Brügmann, B.3
Gundlach, C.4
Massó, J.5
Walker, P.6
-
2
-
-
0034900558
-
Simple excision of a black hole 3 + 1 numerical relativity
-
Alcubierre M and Brügmann B 2001 Simple excision of a black hole 3 + 1 numerical relativity Phys. Rev. D 63 104006
-
(2001)
Phys. Rev. D
, vol.63
, pp. 104006
-
-
Alcubierre, M.1
Brügmann, B.2
-
4
-
-
0001363096
-
Dynamics of apparent and event horizons
-
Anninos P, Bernstein D, Brandt S, Libson J, Massó J, Seidel E, Smarr L, Suen W-M and Walker P 1995 Dynamics of apparent and event horizons Phys. Rev. Lett. 74 630-3
-
(1995)
Phys. Rev. Lett.
, vol.74
, pp. 630-633
-
-
Anninos, P.1
Bernstein, D.2
Brandt, S.3
Libson, J.4
Massó, J.5
Seidel, E.6
Smarr, L.7
Suen, W.-M.8
Walker, P.9
-
5
-
-
0542395145
-
Finding apparent horizons in dynamic 3D numerical spacetimes
-
Anninos P, Camarda K, Libson J, Massó J, Seidel E and Suen W-M 1998 Finding apparent horizons in dynamic 3D numerical spacetimes Phys. Rev. D 58 24003
-
(1998)
Phys. Rev. D
, vol.58
, pp. 24003
-
-
Anninos, P.1
Camarda, K.2
Libson, J.3
Massó, J.4
Seidel, E.5
Suen, W.-M.6
-
6
-
-
33847651443
-
Horizon boundary conditions for black hole spacetimes
-
Anninos P, Daues G, Massó J, Seidel E and Suen W-M 1995 Horizon boundary conditions for black hole spacetimes Phys. Rev. D 51 5562-78
-
(1995)
Phys. Rev. D
, vol.51
, pp. 5562-5578
-
-
Anninos, P.1
Daues, G.2
Massó, J.3
Seidel, E.4
Suen, W.-M.5
-
8
-
-
0003990367
-
Parameter selection for Newton-like methods applicable to nonlinear partial differential equations
-
Bank R E and Rose D J 1980 Parameter selection for Newton-like methods applicable to nonlinear partial differential equations SIAM J. Numer. Anal. 17 806-22
-
(1980)
SIAM J. Numer. Anal.
, vol.17
, pp. 806-822
-
-
Bank, R.E.1
Rose, D.J.2
-
9
-
-
0000144297
-
Global approximate Newton methods
-
Bank R E and Rose D J 1985 Global approximate Newton methods Numer. Math. 37 279-95
-
(1985)
Numer. Math.
, vol.37
, pp. 279-295
-
-
Bank, R.E.1
Rose, D.J.2
-
10
-
-
0000677744
-
Implementing an apparent-horizon finder in three dimensions
-
Baumgarte T W, Cook G B, Scheel M A, Shapiro S L and Teukolsky S A 1996 Implementing an apparent-horizon finder in three dimensions Phys. Rev. D 54 4849-57
-
(1996)
Phys. Rev. D
, vol.54
, pp. 4849-4857
-
-
Baumgarte, T.W.1
Cook, G.B.2
Scheel, M.A.3
Shapiro, S.L.4
Teukolsky, S.A.5
-
11
-
-
0034507153
-
Grazing collisions of black holes via the excision of singularities
-
Brandt S et al 2000 Grazing collisions of black holes via the excision of singularities Phys. Rev. Lett. 85 5496-9
-
(2000)
Phys. Rev. Lett.
, vol.85
, pp. 5496-5499
-
-
Brandt, S.1
-
12
-
-
36149027951
-
Interaction energy in geometrostatics
-
Brill D and Lindquist R 1963 Interaction energy in geometrostatics Phys. Rev. 131 471-6
-
(1963)
Phys. Rev.
, vol.131
, pp. 471-476
-
-
Brill, D.1
Lindquist, R.2
-
14
-
-
0000374916
-
Consistency of finite-difference solutions to Einstein's equations
-
Choptuik M W 1991 Consistency of finite-difference solutions to Einstein's equations Phys. Rev. D 44 3124
-
(1991)
Phys. Rev. D
, vol.44
, pp. 3124
-
-
Choptuik, M.W.1
-
15
-
-
4243579758
-
Boosted three-dimensional black-hole evolutions with singularity excision
-
Cook G B et al 1998 Boosted three-dimensional black-hole evolutions with singularity excision Phys. Rev. Lett. 80 2512-6
-
(1998)
Phys. Rev. Lett.
, vol.80
, pp. 2512-2516
-
-
Cook, G.B.1
-
16
-
-
0742283368
-
The choice of step lengths when using differences to approximate Jacobian matrices
-
Curtis A R and Reid J K 1974 The choice of step lengths when using differences to approximate Jacobian matrices J. Inst. Math. Appl. 13 121-6
-
(1974)
J. Inst. Math. Appl.
, vol.13
, pp. 121-126
-
-
Curtis, A.R.1
Reid, J.K.2
-
17
-
-
0742318243
-
Algorithm 8xx: UMFPACK V3. 2, an unsymmetric-pattern multifrontal method with a column pre-ordering strategy
-
Gainesville, FL (ACM Trans. Math. Softw. at press)
-
Davis T A 2002 Algorithm 8xx: UMFPACK V3. 2, an unsymmetric-pattern multifrontal method with a column pre-ordering strategy Technical Report TR-02-002, University of Florida, CISE Department, Gainesville, FL; www.cise.ufl.edu/tech-reports (ACM Trans. Math. Softw. at press)
-
(2002)
Technical Report
, vol.TR-02-002
-
-
Davis, T.A.1
-
18
-
-
25344454311
-
A column pre-ordering strategy for the unsymmetric-pattern multifrontal method
-
Gainesville, FL; (ACM Trans. Math . Softw. at press)
-
Davis T A 2002 A column pre-ordering strategy for the unsymmetric-pattern multifrontal method Technical Report TR-02-001, University of Florida, CISE Department, Gainesville, FL; www.cise.ufl.edu/tech-reports (ACM Trans. Math . Softw. at press)
-
(2002)
Technical Report
, vol.TR-02-001
-
-
Davis, T.A.1
-
19
-
-
0031541111
-
An unsymmetric-pattern multifrontal method for sparse LU factorization
-
Davis T A and Duff I S 1997 An unsymmetric-pattern multifrontal method for sparse LU factorization SIAM J. Matrix Anal. Appl. 18 140-58
-
(1997)
SIAM J. Matrix Anal. Appl.
, vol.18
, pp. 140-158
-
-
Davis, T.A.1
Duff, I.S.2
-
20
-
-
0001946784
-
A combined unifrontal/multifrontal method for unsymmetric sparse matrices
-
Davis T A and Duff I S 1999 A combined unifrontal/multifrontal method for unsymmetric sparse matrices ACM Trans. Math. Softw. 25 1-19
-
(1999)
ACM Trans. Math. Softw.
, vol.25
, pp. 1-19
-
-
Davis, T.A.1
Duff, I.S.2
-
21
-
-
0345356493
-
A new general purpose event horizon finder for 3D numerical spacetimes
-
Preprint gr-qc/0305039
-
Diener P 2003 A new general purpose event horizon finder for 3D numerical spacetimes Class. Quantum Grav. 20 4901-17 (Preprint gr-qc/0305039)
-
(2003)
Class. Quantum Grav.
, vol.20
, pp. 4901-4917
-
-
Diener, P.1
-
24
-
-
35248817438
-
The CACTUS framework and toolkit: Design and applications
-
Berlin: Springer
-
Goodale T, Allen G, Lanfermann G, Massó J, Radke T, Seidel E and Shalf J 2003 The CACTUS framework and toolkit: design and applications VECPAR'2002 Vector and Parallel Processing, 5th Int. Conf. (Lecture Notes in Computer Science) (Berlin: Springer)
-
(2003)
VECPAR'2002 Vector and Parallel Processing, 5th Int. Conf. (Lecture Notes in Computer Science)
-
-
Goodale, T.1
Allen, G.2
Lanfermann, G.3
Massó, J.4
Radke, T.5
Seidel, E.6
Shalf, J.7
-
25
-
-
0001489964
-
Pseudo-spectral apparent horizon finders: An efficient new algorithm
-
Preprint gr-qc/9707050
-
Gundlach C 1998 Pseudo-spectral apparent horizon finders: an efficient new algorithm Phys. Rev. D 57 863-75 (Preprint gr-qc/9707050)
-
(1998)
Phys. Rev. D
, vol.57
, pp. 863-875
-
-
Gundlach, C.1
-
28
-
-
4243457019
-
Locating boosted Kerr and Schwarzschild apparent horizons
-
Preprint gr-qc/0002076
-
Huq M F, Choptuik M W and Matzner R A 2002 Locating boosted Kerr and Schwarzschild apparent horizons Phys. Rev. D 66 084024 (Preprint gr-qc/0002076)
-
(2002)
Phys. Rev. D
, vol.66
, pp. 084024
-
-
Huq, M.F.1
Choptuik, M.W.2
Matzner, R.A.3
-
30
-
-
0000301537
-
The numerical determination of apparent horizons
-
Kemball A J and Bishop N T 1991 The numerical determination of apparent horizons Class. Quantum Grav. 8 1361-7
-
(1991)
Class. Quantum Grav.
, vol.8
, pp. 1361-1367
-
-
Kemball, A.J.1
Bishop, N.T.2
-
31
-
-
0002497330
-
The incomplete Cholesky - Conjugate gradient method for interative solution of linear equations
-
Kershaw D S 1978 The incomplete Cholesky - conjugate gradient method for interative solution of linear equations J. Comput. Phys. 26 43-65
-
(1978)
J. Comput. Phys.
, vol.26
, pp. 43-65
-
-
Kershaw, D.S.1
-
32
-
-
0001220250
-
Event horizons in numerical relativity: Methods and tests
-
Libson J, Massó J, Seidel E, Suen W-M and Walker P 1996 Event horizons in numerical relativity: methods and tests Phys. Rev. D 53 4335-50
-
(1996)
Phys. Rev. D
, vol.53
, pp. 4335-4350
-
-
Libson, J.1
Massó, J.2
Seidel, E.3
Suen, W.-M.4
Walker, P.5
-
33
-
-
36149018604
-
Wormhole initial conditions
-
Misner C 1960 Wormhole initial conditions Phys. Rev. D 118 1110-1
-
(1960)
Phys. Rev. D
, vol.118
, pp. 1110-1111
-
-
Misner, C.1
-
34
-
-
0000689969
-
The method of images in geometrostatics
-
Misner C W 1963 The method of images in geometrostatics Ann. Phys. 24 102
-
(1963)
Ann. Phys.
, vol.24
, pp. 102
-
-
Misner, C.W.1
-
36
-
-
0004152689
-
User guide for MINPACK-1
-
Argonne National Laboratory, Argonne, USA, August
-
Moré J J, Garbow B S and Hillstrom K E 1980 User guide for MINPACK-1 Technical Report ANL-80-74, Argonne National Laboratory, Argonne, USA, August (available from the NETLIB online software repository, http://www.netlib.org/minpack/)
-
(1980)
Technical Report
, vol.ANL-80-74
-
-
Moré, J.J.1
Garbow, B.S.2
Hillstrom, K.E.3
-
37
-
-
0000599994
-
A method of determining apparent horizons in three-dimensional numerical relativity
-
Nakamura T, Kojima Y and Oohara K 1984 A method of determining apparent horizons in three-dimensional numerical relativity Phys. Lett. A 106 235-8
-
(1984)
Phys. Lett. A
, vol.106
, pp. 235-238
-
-
Nakamura, T.1
Kojima, Y.2
Oohara, K.3
-
38
-
-
0742318245
-
GIANT - A software package for the numerical solution of very large systems of highly nonlinear equations
-
Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)
-
Nowak U and Weimann L GIANT - a software package for the numerical solution of very large systems of highly nonlinear equations Technical Report TR-90-11, Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)
-
Technical Report
, vol.TR-90-11
-
-
Nowak, U.1
Weimann, L.2
-
39
-
-
0003546464
-
A family of Newton codes for systems of highly nonlinear equations
-
Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)
-
Nowak U and Weimann L 1991 A family of Newton codes for systems of highly nonlinear equations Technical Report TR-91-10, Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)
-
(1991)
Technical Report
, vol.TR-91-10
-
-
Nowak, U.1
Weimann, L.2
-
42
-
-
0344062966
-
Finding apparent horizons and other two-surfaces of constant expansion
-
Preprint gr-qc/0306006
-
Schnetter E 2003 Finding apparent horizons and other two-surfaces of constant expansion Class. Quantum Grav. 20 4719-37 (Preprint gr-qc/0306006)
-
(2003)
Class. Quantum Grav.
, vol.20
, pp. 4719-4737
-
-
Schnetter, E.1
-
44
-
-
0001229924
-
Towards a singularity-proof scheme in numerical relativity
-
Seidel E and Suen W-M 1992 Towards a singularity-proof scheme in numerical relativity Phys. Rev. Lett. 69 1845-8
-
(1992)
Phys. Rev. Lett.
, vol.69
, pp. 1845-1848
-
-
Seidel, E.1
Suen, W.-M.2
-
45
-
-
85037245550
-
Generic tracking of multiple apparent horizons with level flow
-
124005
-
Shoemaker D M, Huq M F and Matzner R A 2000 Generic tracking of multiple apparent horizons with level flow Phys. Rev. D 62 124005 12 pp
-
(2000)
Phys. Rev. D
, vol.62
, pp. 12
-
-
Shoemaker, D.M.1
Huq, M.F.2
Matzner, R.A.3
-
48
-
-
0000787863
-
Finding apparent horizons in numerical relativity
-
Thornburg J 1996 Finding apparent horizons in numerical relativity Phys. Rev. D 54 4899-918
-
(1996)
Phys. Rev. D
, vol.54
, pp. 4899-4918
-
-
Thornburg, J.1
-
49
-
-
17044433748
-
A 3 + 1 computational scheme for dynamic spherically symmetric black hole spacetimes: I. Initial data
-
Thornburg J 1999 A 3 + 1 computational scheme for dynamic spherically symmetric black hole spacetimes: I. Initial data Phys. Rev. D 59 104007
-
(1999)
Phys. Rev. D
, vol.59
, pp. 104007
-
-
Thornburg, J.1
-
51
-
-
0003131348
-
Looking for marginally trapped surfaces
-
Tod K P 1991 Looking for marginally trapped surfaces Class. Quantum Grav. 8 L115-8
-
(1991)
Class. Quantum Grav.
, vol.8
-
-
Tod, K.P.1
-
52
-
-
0000946385
-
Apparent horizons in the two-black-hole problem
-
Čadež A 1974 Apparent horizons in the two-black-hole problem Ann. Phys. 83 449-57
-
(1974)
Ann. Phys.
, vol.83
, pp. 449-457
-
-
Čadež, A.1
-
53
-
-
0004057466
-
-
Chicago, IL: University of Chicago Press
-
Wald R M 1984 General Relativity (Chicago, IL: University of Chicago Press)
-
(1984)
General Relativity
-
-
Wald, R.M.1
-
55
-
-
0003101489
-
Initial data for collisions of black holes and other gravitational miscellany
-
ed C Evans, L Finn and D Hobill (Cambridge: Cambridge University Press)
-
York J 1989 Initial data for collisions of black holes and other gravitational miscellany Frontiers in Numerical Relativity ed C Evans, L Finn and D Hobill (Cambridge: Cambridge University Press) pp 89-109
-
(1989)
Frontiers in Numerical Relativity
, pp. 89-109
-
-
York, J.1
|