-
1
-
-
18144365881
-
Towards an understanding of the stability properties of the 3+1 evolution equations in general relativity
-
article 124011
-
M. ALCUBIERRE, G. ALLEN, B. BRUGMANN, E. SEIDEL, AND W.-M. SUEN, Towards an understanding of the stability properties of the 3+1 evolution equations in general relativity, Phys. Rev. D (3), 62 (2000), article 124011.
-
(2000)
Phys. Rev. D (3)
, vol.62
-
-
Alcubierre, M.1
Allen, G.2
Brugmann, B.3
Seidel, E.4
Suen, W.-M.5
-
2
-
-
0035842859
-
Divergence-free adaptive mesh refinement for magnetohydrodynamics
-
D. S. BALSARA, Divergence-free adaptive mesh refinement for magnetohydrodynamics, J. Comput. Phys., 174 (2001), pp. 614-648.
-
(2001)
J. Comput. Phys.
, vol.174
, pp. 614-648
-
-
Balsara, D.S.1
-
3
-
-
1842764950
-
Second order accurate schemes for magnetohydrodynamics with divergence-free reconstruction
-
D. S. BALSARA, Second order accurate schemes for magnetohydrodynamics with divergence-free reconstruction, Astrophys. J. Suppl., 151 (2004), pp. 151-184.
-
(2004)
Astrophys. J. Suppl.
, vol.151
, pp. 151-184
-
-
Balsara, D.S.1
-
4
-
-
0001690874
-
A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
-
D. S. BALSARA AND D. S. SPICER, A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations, J. Comput. Phys., 149 (1999), pp. 270-292.
-
(1999)
J. Comput. Phys.
, vol.149
, pp. 270-292
-
-
Balsara, D.S.1
Spicer, D.S.2
-
5
-
-
0001689247
-
The effect of nonzero ▽ · B on the numerical solution of the magnetohydrodynamic equations
-
J. U. BRACKBILL AND D. C. BARNES, The effect of nonzero ▽ · B on the numerical solution of the magnetohydrodynamic equations, J. Comput. Phys., 35 (1980), pp. 426-430.
-
(1980)
J. Comput. Phys.
, vol.35
, pp. 426-430
-
-
Brackbill, J.U.1
Barnes, D.C.2
-
7
-
-
0000374916
-
Consistency of finite-difference solutions of Einstein's equation
-
M. W. CHOPTUIK, Consistency of finite-difference solutions of Einstein's equation, Phys. Rev. D, 44 (1991), pp. 3124-3135.
-
(1991)
Phys. Rev. D
, vol.44
, pp. 3124-3135
-
-
Choptuik, M.W.1
-
8
-
-
33645674549
-
On the divergence-free condition and conservation laws in numerical simulations for supersonic magnetohydrodynamic flows
-
W. DAI AND P. R. WOODWARD, On the divergence-free condition and conservation laws in numerical simulations for supersonic magnetohydrodynamic flows, Astrophys. J., 494 (1998), pp. 317-335.
-
(1998)
Astrophys. J.
, vol.494
, pp. 317-335
-
-
Dai, W.1
Woodward, P.R.2
-
9
-
-
33645445061
-
MHD instabilities arising in solar physics: A numerical approach
-
H. Freistühler and G. Warnecke, eds., Birkhäuser, Basel
-
A. DEDNER, D. KROENER, C. ROHDE, AND M. WESENBERG, MHD instabilities arising in solar physics: A numerical approach, in Hyperbolic Problems: Theory, Numerics, Applications, H. Freistühler and G. Warnecke, eds., Birkhäuser, Basel, 2002, pp. 277-286.
-
(2002)
Hyperbolic Problems: Theory, Numerics, Applications
, pp. 277-286
-
-
Dedner, A.1
Kroener, D.2
Rohde, C.3
Wesenberg, M.4
-
10
-
-
0037137996
-
Hyperbolic divergence cleaning for the MHD equations
-
A. DEDNER, F. KEMM, D. KROENER, C.-D. MUNZ, T. SCHNITZER, AND M. WESENBERG, Hyperbolic divergence cleaning for the MHD equations, J. Comput. Phys., 175 (2002), pp. 645-673.
-
(2002)
J. Comput. Phys.
, vol.175
, pp. 645-673
-
-
Dedner, A.1
Kemm, F.2
Kroener, D.3
Munz, C.-D.4
Schnitzer, T.5
Wesenberg, M.6
-
11
-
-
84894421476
-
Multi-dimensional upwind constrained transport on unstructured grids for shallow water magnetohydrodynamics
-
H. DE STERCK, Multi-Dimensional Upwind Constrained Transport on Unstructured Grids for Shallow Water Magnetohydrodynamics, AIAA paper 2001-2623, 2001.
-
(2001)
AIAA Paper
, vol.2001
, Issue.2623
-
-
De Sterck, H.1
-
12
-
-
0034461039
-
An adaptive MHD method for global space weather simulations
-
D. L. DE ZEEUW, T. I. GOMBOSI, C. P. T. GROTH, K. G. POWELL, AND Q. F. STOUT, An adaptive MHD method for global space weather simulations, IEEE Trans. Plasma Sci., 28 (2000), pp.1956-1965.
-
(2000)
IEEE Trans. Plasma Sci.
, vol.28
, pp. 1956-1965
-
-
De Zeeuw, D.L.1
Gombosi, T.I.2
Groth, C.P.T.3
Powell, K.G.4
Stout, Q.F.5
-
13
-
-
0000194504
-
Simulation of magnetohydrodynamic flows: A constrained transport method
-
C. R. EVANS AND J. F. HAWLEY, Simulation of magnetohydrodynamic flows: A constrained transport method, Astrophys. J., 332 (1988), pp. 659-677.
-
(1988)
Astrophys. J.
, vol.332
, pp. 659-677
-
-
Evans, C.R.1
Hawley, J.F.2
-
14
-
-
0000471334
-
Multidimensional upwinding. Part I. The method of transport for solving the Euler equations
-
M. FEY, Multidimensional upwinding. Part I. The method of transport for solving the Euler equations, J. Comput. Phys., 143 (1998), pp. 159-180.
-
(1998)
J. Comput. Phys.
, vol.143
, pp. 159-180
-
-
Fey, M.1
-
15
-
-
0000471333
-
Multidimensional upwinding. Part II. Decomposition of the Euler equations into advection equations
-
M. FEY, Multidimensional upwinding. Part II. Decomposition of the Euler equations into advection equations, J. Comput. Phys., 143 (1998), pp. 181-199.
-
(1998)
J. Comput. Phys.
, vol.143
, pp. 181-199
-
-
Fey, M.1
-
17
-
-
0034319816
-
Decay and post-arc phases of a SF6 arc plasma: A thermal and chemical non-equilibrium model
-
J. J. GONZALEZ, R. GIRARD, AND A. GLEIZES, Decay and post-arc phases of a SF6 arc plasma: A thermal and chemical non-equilibrium model, J. Phys. D, 33 (2000), pp. 2759-2768.
-
(2000)
J. Phys. D
, vol.33
, pp. 2759-2768
-
-
Gonzalez, J.J.1
Girard, R.2
Gleizes, A.3
-
18
-
-
0000223946
-
A vorticity-velocity method for the numerical solution of 3D incompressible flow
-
G. GUJ AND F. STELLA, A vorticity-velocity method for the numerical solution of 3D incompressible flow, J. Comput. Phys., 106 (1993), pp. 286-298.
-
(1993)
J. Comput. Phys.
, vol.106
, pp. 286-298
-
-
Guj, G.1
Stella, F.2
-
19
-
-
0031071242
-
Natural discretizations for the divergence, gradient, and curl on logically rectangular grids
-
J. M. HYMAN AND M. SHASHKOV, Natural discretizations for the divergence, gradient, and curl on logically rectangular grids, Comput. Math. Appl., 33 (1997), pp. 81-104.
-
(1997)
Comput. Math. Appl.
, vol.33
, pp. 81-104
-
-
Hyman, J.M.1
Shashkov, M.2
-
21
-
-
0030161771
-
Efficient implementation of weighted ENO schemes
-
G.-S. JIANG AND C.-W. SHU, Efficient implementation of weighted ENO schemes, J. Comput. Phys., 126 (1996), pp. 202-228.
-
(1996)
J. Comput. Phys.
, vol.126
, pp. 202-228
-
-
Jiang, G.-S.1
Shu, C.-W.2
-
23
-
-
0034224160
-
Energy partitions in inductively heated plasma sources for reentry simulations
-
S. LENZNER, M. AUWETER-KURTZ, J. HEIERMANN, AND P. C. SLEZIONA, Energy partitions in inductively heated plasma sources for reentry simulations, J. Thermophys. Heat Transfer, 14 (2000), pp. 388-395.
-
(2000)
J. Thermophys. Heat Transfer
, vol.14
, pp. 388-395
-
-
Lenzner, S.1
Auweter-Kurtz, M.2
Heiermann, J.3
Sleziona, P.C.4
-
25
-
-
0031412460
-
An explicit flux-form semi-Lagrangian shallow-water on the sphere
-
S.-J. LIN AND R. B. ROOD, An explicit flux-form semi-Lagrangian shallow-water on the sphere, Quart. J. Roy. Meteor. Soc., 123 (1997), pp. 2477-2498.
-
(1997)
Quart. J. Roy. Meteor. Soc.
, vol.123
, pp. 2477-2498
-
-
Lin, S.-J.1
Rood, R.B.2
-
26
-
-
0036210810
-
Vorticity-preserving Lax-Wendroff-type schemes for the system wave equation
-
K. W. MORTON AND P. L. ROE, Vorticity-preserving Lax-Wendroff-type schemes for the system wave equation, SIAM J. Sci. Comput., 23 (2001), pp. 170-192.
-
(2001)
SIAM J. Sci. Comput.
, vol.23
, pp. 170-192
-
-
Morton, K.W.1
Roe, P.L.2
-
27
-
-
0001676314
-
Divergence correction techniques for Maxwell solvers based on a hyperbolic model
-
C.-D. MUNZ, P. OMNES, R. SCHNEIDER, E. SONNENDRUCKER, AND U. Voss, Divergence correction techniques for Maxwell solvers based on a hyperbolic model, J. Comput. Phys., 161 (2000), pp. 484-511.
-
(2000)
J. Comput. Phys.
, vol.161
, pp. 484-511
-
-
Munz, C.-D.1
Omnes, P.2
Schneider, R.3
Sonnendrucker, E.4
Voss, U.5
-
29
-
-
0000783988
-
The MoT-ICE: A new high-resolution wave-propagation algorithm for multidimensional systems of conservation laws based on Fey's method of transport
-
S. NOELLE, The MoT-ICE: A new high-resolution wave-propagation algorithm for multidimensional systems of conservation laws based on Fey's method of transport, J. Comput. Phys., 164 (2000), pp. 283-334.
-
(2000)
J. Comput. Phys.
, vol.164
, pp. 283-334
-
-
Noelle, S.1
-
30
-
-
0003731716
-
An approximate Riemann solver for magnetohydrodynamics (that works in more than one dimension)
-
K. G. POWELL, An Approximate Riemann Solver for Magnetohydrodynamics (That Works in More Than One Dimension), ICASE report 94-24, 1994.
-
(1994)
ICASE Report
, vol.94
, Issue.24
-
-
Powell, K.G.1
-
31
-
-
0000550977
-
A solution-adaptive upwind scheme for ideal magnetohydrodynamics
-
K. G. POWELL, P. L. ROE, T. J. LINDE, T. I. GOMBOSI, AND D. L. DEZEEUW, A solution-adaptive upwind scheme for ideal magnetohydrodynamics, J. Comput. Phys., 154 (1999), pp. 284-309.
-
(1999)
J. Comput. Phys.
, vol.154
, pp. 284-309
-
-
Powell, K.G.1
Roe, P.L.2
Linde, T.J.3
Gombosi, T.I.4
Dezeeuw, D.L.5
-
32
-
-
33645445888
-
Methods on unstructured grids, WENO and ENO recovery techniques
-
A, Meister and J. Struckmeier, eds., Vieweg, Braunschweig
-
T. SONAR, Methods on unstructured grids, WENO and ENO recovery techniques, in Hyperbolic Partial Differential Equations, A, Meister and J. Struckmeier, eds., Vieweg, Braunschweig, 2002, pp. 115-232.
-
(2002)
Hyperbolic Partial Differential Equations
, pp. 115-232
-
-
Sonar, T.1
-
33
-
-
23944450981
-
Constraint-preserving upwind methods for multidimensional advection equations
-
M. TORRILHON AND M. FEY, Constraint-preserving upwind methods for multidimensional advection equations, SIAM J. Numer. Anal., 42 (2004), pp. 1694-1728.
-
(2004)
SIAM J. Numer. Anal.
, vol.42
, pp. 1694-1728
-
-
Torrilhon, M.1
Fey, M.2
-
34
-
-
0346046827
-
The ▽ · B constraint in shock-capturing magnetohydrodynamics codes
-
G. TOTH, The ▽ · B constraint in shock-capturing magnetohydrodynamics codes, J. Comput. Phys., 161 (2000), pp. 605-652.
-
(2000)
J. Comput. Phys.
, vol.161
, pp. 605-652
-
-
Toth, G.1
-
35
-
-
0037055773
-
Divergence- and curl-preserving prolongation and restriction formulas
-
G. TOTH AND P. L. ROE, Divergence- and curl-preserving prolongation and restriction formulas, J. Comput. Phys., 180 (2002), pp. 736-750.
-
(2002)
J. Comput. Phys.
, vol.180
, pp. 736-750
-
-
Toth, G.1
Roe, P.L.2
-
36
-
-
0036453188
-
Efficient MHD Riemann solvers for simulations on unstructured triangular grids
-
M. WESENBERG, Efficient MHD Riemann solvers for simulations on unstructured triangular grids, J. Numer. Math., 10 (2002), pp. 37-71.
-
(2002)
J. Numer. Math.
, vol.10
, pp. 37-71
-
-
Wesenberg, M.1
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