-
1
-
-
0000838828
-
Fixing Einstein’s equations
-
A. Anderson and J. W. York, Fixing Einstein’s equations, Phys. Rev. Lett. 82 (1999) 4384–4387.
-
(1999)
Phys. Rev. Lett
, vol.82
, pp. 4384-4387
-
-
Anderson, A.1
York, J. W.2
-
2
-
-
33746776164
-
The null-timelike boundary problem for Maxwell’s equations in Minkowski space
-
R. Balean and R. Bartnik, The null-timelike boundary problem for Maxwell’s equations in Minkowski space, Proc. Roy. Soc. Lond. A454 (1998) 2041–2057.
-
(1998)
Proc. Roy. Soc. Lond
, vol.A454
, pp. 2041-2057
-
-
Balean, R.1
Bartnik, R.2
-
3
-
-
0037087885
-
Numerical tests of evolution systems, gauge conditions, and boundary conditions for 1D colliding gravitational plane waves
-
J. M. Bardeen and L. T. Buchman, Numerical tests of evolution systems, gauge conditions, and boundary conditions for 1D colliding gravitational plane waves, Phys. Rev. D65 (2002) 064037.
-
(2002)
Phys. Rev
, vol.D65
, pp. 064037
-
-
Bardeen, J. M.1
Buchman, L. T.2
-
4
-
-
85038270496
-
On the numerical integration of Einstein’s field equations
-
T. W. Baumgarte and S. L. Shapiro, On the numerical integration of Einstein’s field equations, Phys. Rev. D59 (1999) 024007.
-
(1999)
Phys. Rev
, vol.D59
, pp. 024007
-
-
Baumgarte, T. W.1
Shapiro, S. L.2
-
6
-
-
42749104755
-
On the well posedness of the Baumgarte–Shapiro–Shibata–Nakamura formulation of Einstein’s field equations
-
H. Beyer and O. Sarbach, On the well posedness of the Baumgarte–Shapiro–Shibata–Nakamura formulation of Einstein’s field equations, Phys. Rev. D70 (2004) 104004.
-
(2004)
Phys. Rev
, vol.D70
, pp. 104004
-
-
Beyer, H.1
Sarbach, O.2
-
7
-
-
4644264495
-
A remedy for constraint growth in numerical relativity
-
G. Calabrese, A remedy for constraint growth in numerical relativity, Class. Quant. Grav. 21 (2004) 4025–4040.
-
(2004)
Class. Quant. Grav
, vol.21
, pp. 4025-4040
-
-
Calabrese, G.1
-
8
-
-
85038308182
-
Constraint-preserving boundary conditions in numerical relativity
-
G. Calabrese, L. Lehner and M. Tiglio, Constraint-preserving boundary conditions in numerical relativity, Phys. Rev. D65 (2002) 104031.
-
(2002)
Phys. Rev
, vol.D65
, pp. 104031
-
-
Calabrese, G.1
Lehner, L.2
Tiglio, M.3
-
9
-
-
0242556830
-
Well posed constraint-preserving boundary conditions for the linearized Einstein equations
-
G. Calabrese, J. Pullin, O. Reula, O. Sarbach and M. Tiglio, Well posed constraint-preserving boundary conditions for the linearized Einstein equations, Comm. Math. Phys. 240 (2003) 377–395.
-
(2003)
Comm. Math. Phys
, vol.240
, pp. 377-395
-
-
Calabrese, G.1
Pullin, J.2
Reula, O.3
Sarbach, O.4
Tiglio, M.5
-
10
-
-
0242473132
-
Detecting ill posed boundary conditions in general relativity
-
G. Calabrese and O. Sarbach, Detecting ill posed boundary conditions in general relativity, J. Math. Phys. 44 (2003) 3888–3899.
-
(2003)
J. Math. Phys
, vol.44
, pp. 3888-3899
-
-
Calabrese, G.1
Sarbach, O.2
-
11
-
-
84966208271
-
Absorbing boundary conditions for the numerical simulation of waves
-
B. Engquist and A. Majda, Absorbing boundary conditions for the numerical simulation of waves, Math. Comp. 31 (1977) 629–651.
-
(1977)
Math. Comp
, vol.31
, pp. 629-651
-
-
Engquist, B.1
Majda, A.2
-
12
-
-
1642358085
-
Toward making the constraint hypersurface an attractor in free evolution
-
D. R. Fiske, Toward making the constraint hypersurface an attractor in free evolution, Phys. Rev. D69 (2004) 047501.
-
(2004)
Phys. Rev
, vol.D69
, pp. 047501
-
-
Fiske, D. R.1
-
13
-
-
0033243771
-
The initial boundary value problem for Einstein’s vacuum field equations
-
H. Friedrich and G. Nagy, The initial boundary value problem for Einstein’s vacuum field equations, Comm. Math. Phys. 201 (1999) 619–655.
-
(1999)
Comm. Math. Phys
, vol.201
, pp. 619-655
-
-
Friedrich, H.1
Nagy, G.2
-
14
-
-
0242298612
-
Boundary conditions for hyperbolic formulations of the Einstein equations
-
Einstein boundary conditions for the 3+1 Einstein equations, Phys. Rev. D68 (2003) 044014; Einstein boundary conditions in relation to constraint propagation for the initial-boundary value problem of the Einstein equations, Phys. Rev. D69 (2004) 124020; Einstein boundary conditions for the Einstein equations in the conformal-traceless decomposition, Phys. Rev. D70 (2004) 064008
-
S. Frittelli and R. Gomez, Boundary conditions for hyperbolic formulations of the Einstein equations, Class. Quant. Grav. 20 (2003) 2379–2392; Einstein boundary conditions for the 3+1 Einstein equations, Phys. Rev. D68 (2003) 044014; Einstein boundary conditions in relation to constraint propagation for the initial-boundary value problem of the Einstein equations, Phys. Rev. D69 (2004) 124020; Einstein boundary conditions for the Einstein equations in the conformal-traceless decomposition, Phys. Rev. D70 (2004) 064008.
-
(2003)
Class. Quant. Grav
, vol.20
, pp. 2379-2392
-
-
Frittelli, S.1
Gomez, R.2
-
15
-
-
3643104175
-
First-order symmetric-hyperbolic Einstein equations with arbitrary fixed gauge
-
S. Frittelli and O. A. Reula, First-order symmetric-hyperbolic Einstein equations with arbitrary fixed gauge, Phys. Rev. Lett. 76 (1996) 4667–4670.
-
(1996)
Phys. Rev. Lett
, vol.76
, pp. 4667-4670
-
-
Frittelli, S.1
Reula, O. A.2
-
16
-
-
37649028660
-
Symmetric hyperbolic form of systems of second-order evolution equations subject to constraints
-
C. Gundlach and J. M. Martín-García, Symmetric hyperbolic form of systems of second-order evolution equations subject to constraints, Phys. Rev. D70 (2004) 044031.
-
(2004)
Phys. Rev
, vol.D70
, pp. 044031
-
-
Gundlach, C.1
Martín-García, J. M.2
-
17
-
-
42749106781
-
Symmetric hyperbolicity and consistent boundary conditions for second-order Einstein equations
-
C. Gundlach and J. M. Martín-García, Symmetric hyperbolicity and consistent boundary conditions for second-order Einstein equations, Phys. Rev. D70 (2004) 044032.
-
(2004)
Phys. Rev
, vol.D70
, pp. 044032
-
-
Gundlach, C.1
Martín-García, J. M.2
-
19
-
-
85189356534
-
-
Ph.D. thesis, University of Cambridge, gr-qc/0004036
-
S. D. Hern, Ph.D. thesis, University of Cambridge, 1999, gr-qc/0004036.
-
(1999)
-
-
Hern, S. D.1
-
20
-
-
85038272624
-
Extending the lifetime of 3D black hole computations with a new hyperbolic system of evolution equations
-
L. E. Kidder, M. A. Scheel and S. A. Teukolsky, Extending the lifetime of 3D black hole computations with a new hyperbolic system of evolution equations, Phys. Rev. D64 (2001) 064017.
-
(2001)
Phys. Rev
, vol.D64
, pp. 064017
-
-
Kidder, L. E.1
Scheel, M. A.2
Teukolsky, S. A.3
-
21
-
-
0037088039
-
Illustrating stability properties of numerical relativity in electrodynamics
-
A. M. Knapp, E. J. Walker and T. W. Baumgarte, Illustrating stability properties of numerical relativity in electrodynamics, Phys. Rev. D65 (2002) 064031.
-
(2002)
Phys. Rev
, vol.D65
, pp. 064031
-
-
Knapp, A. M.1
Walker, E. J.2
Baumgarte, T. W.3
-
22
-
-
84980172444
-
Initial boundary value problems for hyperbolic systems
-
H. O. Kreiss, Initial boundary value problems for hyperbolic systems, Commun. Pure Appl. Math. 23 (1970) 277–298.
-
(1970)
Commun. Pure Appl. Math
, vol.23
, pp. 277-298
-
-
Kreiss, H. O.1
-
24
-
-
3843077396
-
Controlling the growth of constraints in hyperbolic evolution systems
-
L. Lindblom, M. A. Scheel, L. E. Kidder, H. P. Pfeiffer, D. Shoemaker and S. A. Teukolsky, Controlling the growth of constraints in hyperbolic evolution systems, Phys. Rev. D69 (2004) 124025.
-
(2004)
Phys. Rev
, vol.D69
, pp. 124025
-
-
Lindblom, L.1
Scheel, M. A.2
Kidder, L. E.3
Pfeiffer, H. P.4
Shoemaker, D.5
Teukolsky, S. A.6
-
25
-
-
42749105439
-
Strongly hyperbolic second order Einstein’s evolution equations
-
G. Nagy, O. E. Ortiz and O. A. Reula, Strongly hyperbolic second order Einstein’s evolution equations, Phys. Rev. D70 (2004) 044012.
-
(2004)
Phys. Rev
, vol.D70
, pp. 044012
-
-
Nagy, G.1
Ortiz, O. E.2
Reula, O. A.3
-
28
-
-
4744357416
-
Hyperbolicity of the Baumgarte–Shapiro–Shibata–Nakamura system of Einstein evolution equations
-
O. Sarbach, G. Calabrese, J. Pullin and M. Tiglio, Hyperbolicity of the Baumgarte–Shapiro–Shibata–Nakamura system of Einstein evolution equations, Phys. Rev. D66 (2002) 064002.
-
(2002)
Phys. Rev
, vol.D66
, pp. 064002
-
-
Sarbach, O.1
Calabrese, G.2
Pullin, J.3
Tiglio, M.4
-
29
-
-
0000831661
-
Evolution of three-dimensional gravitational waves: Harmonic slicing case
-
M. Shibata and T. Nakamura, Evolution of three-dimensional gravitational waves: Harmonic slicing case, Phys. Rev. D52 (1995) 5428–5444.
-
(1995)
Phys. Rev
, vol.D52
, pp. 5428-5444
-
-
Shibata, M.1
Nakamura, T.2
-
30
-
-
0041173547
-
The Cauchy problem and the initial boundary value problem in numerical relativity
-
J. M. Stewart, The Cauchy problem and the initial boundary value problem in numerical relativity, Class. Quantum Grav. 15 (1998) 2865–2889.
-
(1998)
Class. Quantum Grav
, vol.15
, pp. 2865-2889
-
-
Stewart, J. M.1
-
31
-
-
84859697031
-
Boundary conditions in linearized harmonic gravity
-
B. Szilagyi, B. G. Schmidt and J. Winicour, Boundary conditions in linearized harmonic gravity, Phys. Rev. D65 (2002) 064015.
-
(2002)
Phys. Rev
, vol.D65
, pp. 064015
-
-
Szilagyi, B.1
Schmidt, B. G.2
Winicour, J.3
-
32
-
-
0141656473
-
Well-posed initial-boundary evolution in general relativity
-
B. Szilagyi and J. Winicour, Well-posed initial-boundary evolution in general relativity, Phys. Rev. D68 (2003) 041501.
-
(2003)
Phys. Rev
, vol.D68
, pp. 041501
-
-
Szilagyi, B.1
Winicour, J.2
-
33
-
-
0039176352
-
Nonlinear semigroups and the Yang–Mills equations with the metallic boundary conditions
-
J. Tafel and J. Sniatycki, Nonlinear semigroups and the Yang–Mills equations with the metallic boundary conditions, Commun. Partial Differ. Equations 22 (1997) 49–69.
-
(1997)
Commun. Partial Differ. Equations
, vol.22
, pp. 49-69
-
-
Tafel, J.1
Sniatycki, J.2
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