-
1
-
-
0031139086
-
Developing numerical fluxes with new sonic fix for MHD equations
-
Aslan, N., and Kammash, T. (1997). Developing numerical fluxes with new sonic fix for MHD equations. J. Comput. Phys. 133, 43-55.
-
(1997)
J. Comput. Phys.
, vol.133
, pp. 43-55
-
-
Aslan, N.1
Kammash, T.2
-
2
-
-
0000812911
-
Piecewise solenoidal vector fields and the Stokes problem
-
Baker, G. A., Jureidini, W. N., and Karakashian, O. A. (1990). Piecewise solenoidal vector fields and the Stokes problem. SIAM J. Numer. Anal. 27, 1466-1485.
-
(1990)
SIAM J. Numer. Anal.
, vol.27
, pp. 1466-1485
-
-
Baker, G.A.1
Jureidini, W.N.2
Karakashian, O.A.3
-
3
-
-
0035842859
-
Divergence-free adaptive mesh refinement for magnetohydrodynamics
-
Balsara, D. S. (2001). Divergence-free adaptive mesh refinement for magnetohydrodynamics. J. Comput. Phys. 174, 614-648.
-
(2001)
J. Comput. Phys.
, vol.174
, pp. 614-648
-
-
Balsara, D.S.1
-
4
-
-
1842764950
-
Second order accurate schemes for magnetohydrodynamics with divergence-free reconstruction
-
Balsara, D. S. (2004). Second order accurate schemes for magnetohydrodynamics with divergence-free reconstruction. Astrophys. J. Suppl. Ser. 151, 149-184.
-
(2004)
Astrophys. J. Suppl. Ser.
, vol.151
, pp. 149-184
-
-
Balsara, D.S.1
-
5
-
-
0001690874
-
A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
-
Balsara, D. S., and Spicer, D. S. (1999). A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations. J. Comput. Phys. 149, 270-292.
-
(1999)
J. Comput. Phys.
, vol.149
, pp. 270-292
-
-
Balsara, D.S.1
Spicer, D.S.2
-
6
-
-
0001689247
-
The effect of nonzero Δ B on the numerical solution of the magnetohydrodynamic equations
-
Brackbill, J. U., and Barnes, D. C. (1980). The effect of nonzero Δ B on the numerical solution of the magnetohydrodynamic equations. J. Comput. Phys. 35, 426-430.
-
(1980)
J. Comput. Phys.
, vol.35
, pp. 426-430
-
-
Brackbill, J.U.1
Barnes, D.C.2
-
7
-
-
84944835023
-
A simulation study of east-west IMF effects on the magnetosphere
-
Brecht, S. H., Lyon, J. G., Fedder, J.A., and Hain, K. (1981). A simulation study of east-west IMF effects on the magnetosphere. Geophys. Res. Lett. 8, 397-400.
-
(1981)
Geophys. Res. Lett.
, vol.8
, pp. 397-400
-
-
Brecht, S.H.1
Lyon, J.G.2
Fedder, J.A.3
Hain, K.4
-
8
-
-
45449121905
-
An upwind differencing scheme for the equations of ideal magnetohydrodynamics
-
Brio, M., and Wu, C. C. (1988). An upwind differencing scheme for the equations of ideal magnetohydrodynamics. J. Comput. Phys. 75, 400-422.
-
(1988)
J. Comput. Phys.
, vol.75
, pp. 400-422
-
-
Brio, M.1
Wu, C.C.2
-
9
-
-
84966261380
-
The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: The multidimensional case
-
Cockburn, B., Hou, S., and Shu, C.-W. (1990). The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: The multidimensional case. Math. Comput. 54, 545-581.
-
(1990)
Math. Comput.
, vol.54
, pp. 545-581
-
-
Cockburn, B.1
Hou, S.2
Shu, C.-W.3
-
10
-
-
45249130080
-
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One dimensional systems
-
Cockburn, B., Lin, S.-Y, and Shu, C.-W. (1989). TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One dimensional systems. J. Comput. Phys. 84, 90-113.
-
(1989)
J. Comput. Phys.
, vol.84
, pp. 90-113
-
-
Cockburn, B.1
Lin, S.-Y.2
Shu, C.-W.3
-
11
-
-
1442306605
-
Locally divergence-free discontinuous Galerkin methods for the Maxwell equations
-
Cockburn, B., Li, F., and Shu, C.-W. (2004). Locally divergence-free discontinuous Galerkin methods for the Maxwell equations. J. Comput. Phys. 194, 588-610.
-
(2004)
J. Comput. Phys.
, vol.194
, pp. 588-610
-
-
Cockburn, B.1
Li, F.2
Shu, C.-W.3
-
12
-
-
0001690553
-
The Runge-Kutta discontinuous Galerkin method for conservation laws V: Multidimensional systems
-
Cockburn, B., and Shu, C.-W. (1998). The Runge-Kutta discontinuous Galerkin method for conservation laws V: Multidimensional systems. J. Comput. Phys. 141, 199-224.
-
(1998)
J. Comput. Phys.
, vol.141
, pp. 199-224
-
-
Cockburn, B.1
Shu, C.-W.2
-
13
-
-
0000076512
-
Runge-Kutta Discontinuous Galerkin methods for convection-dominated problems
-
Cockburn, B., and Shu, C.-W. (2001). Runge-Kutta Discontinuous Galerkin methods for convection-dominated problems. J. Sci. Comput. 16, 173-261.
-
(2001)
J. Sci. Comput.
, vol.16
, pp. 173-261
-
-
Cockburn, B.1
Shu, C.-W.2
-
14
-
-
0001580138
-
A simple finite difference scheme for multidimensional magnetohydrodynamic equations
-
Dai, W., and Woodward, P. R. (1998). A simple finite difference scheme for multidimensional magnetohydrodynamic equations. J. Comput. Phys. 142, 331-369.
-
(1998)
J. Comput. Phys.
, vol.142
, pp. 331-369
-
-
Dai, W.1
Woodward, P.R.2
-
15
-
-
0037137996
-
Hyperbolic divergence cleaning for the MHD equations
-
Dedner, A., Kemm, F., Kröner, D., Munz, C.-D., Schnitner, T., and Wesenberg, M., (2002). Hyperbolic divergence cleaning for the MHD equations. J. Comput. Phys. 175, 645-673.
-
(2002)
J. Comput. Phys.
, vol.175
, pp. 645-673
-
-
Dedner, A.1
Kemm, F.2
Kröner, D.3
Munz, C.-D.4
Schnitner, T.5
Wesenberg, M.6
-
16
-
-
0000194504
-
Simulation of magnetohydrodynamic flows: A constrained transport method
-
Evans, C. R., and Hawley, J. F. (1988). Simulation of magnetohydrodynamic flows: A constrained transport method. Astrophys. J. 332, 659-677.
-
(1988)
Astrophys. J.
, vol.332
, pp. 659-677
-
-
Evans, C.R.1
Hawley, J.F.2
-
17
-
-
0030115580
-
The origin of spurious solutions in computational electromagnetics
-
Jiang, B.-N., Wu, J., and Povinelli, L. A. (1996). The origin of spurious solutions in computational electromagnetics. J. Comput. Phys. 125, 104-123.
-
(1996)
J. Comput. Phys.
, vol.125
, pp. 104-123
-
-
Jiang, B.-N.1
Wu, J.2
Povinelli, L.A.3
-
18
-
-
0001116632
-
A high-order WENO finite difference scheme for the equations of ideal magnetohydrodynamics
-
Jiang, G.-S., and Wu, C.-C. (1999). A high-order WENO finite difference scheme for the equations of ideal magnetohydrodynamics. J. Comput. Phys. 150, 561-594,
-
(1999)
J. Comput. Phys.
, vol.150
, pp. 561-594
-
-
Jiang, G.-S.1
Wu, C.-C.2
-
19
-
-
0001408252
-
A nonconforming finite element method for the stationary Navier-Stokes equations
-
Karakashian, O. A., and Jureidini, W. N. (1998). A nonconforming finite element method for the stationary Navier-Stokes equations. SIAM J. Numer. Anal. 35, 93-120.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 93-120
-
-
Karakashian, O.A.1
Jureidini, W.N.2
-
20
-
-
0001676314
-
Divergence correction techniques for Maxwell solvers based on a hyperbolic model
-
Munz, C.-D., Omnes, P., Schneider, R., Sonnendrücker, E., and Voß, U. (2000). Divergence correction techniques for Maxwell solvers based on a hyperbolic model. J. Comput. Phys. 161, 484-511.
-
(2000)
J. Comput. Phys.
, vol.161
, pp. 484-511
-
-
Munz, C.-D.1
Omnes, P.2
Schneider, R.3
Sonnendrücker, E.4
Voß, U.5
-
21
-
-
0018286867
-
Small-scale structure of two-dimensional magnetohydrodynamic turbulence
-
Orszag, S. A., and Tang, C.-M. (1979). Small-scale structure of two-dimensional magnetohydrodynamic turbulence. J. Fluid. Mech. 90, 129-143.
-
(1979)
J. Fluid. Mech.
, vol.90
, pp. 129-143
-
-
Orszag, S.A.1
Tang, C.-M.2
-
23
-
-
13644275950
-
Runge-Kutta discontinuous Galerkin method using WENO limiters
-
to appear
-
Qiu, J., and Shu, C.-W. Runge-Kutta discontinuous Galerkin method using WENO limiters. SIAM J. Sci. Comput., to appear.
-
SIAM J. Sci. Comput.
-
-
Qiu, J.1
Shu, C.-W.2
-
24
-
-
0344981340
-
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One dimensional case
-
Qiu, J., and Shu, C.-W. (2003). Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One dimensional case. J. Comput. Phys. 193, 115-135.
-
(2003)
J. Comput. Phys.
, vol.193
, pp. 115-135
-
-
Qiu, J.1
Shu, C.-W.2
-
25
-
-
0012381666
-
A divergence-free upwind code for multi-dimensional magnetohydrodynamic flows
-
Ryu, D., Miniati, F., Jones, T. W., and Frank, A. (1998). A divergence-free upwind code for multi-dimensional magnetohydrodynamic flows. Astrophys. J. 509, 244-255.
-
(1998)
Astrophys. J.
, vol.509
, pp. 244-255
-
-
Ryu, D.1
Miniati, F.2
Jones, T.W.3
Frank, A.4
-
26
-
-
84966251037
-
TVB uniformly high-order schemes for conservation laws
-
Shu, C.-W (1987). TVB uniformly high-order schemes for conservation laws. Math. Comput. 49, 105-121.
-
(1987)
Math. Comput.
, vol.49
, pp. 105-121
-
-
Shu, C.-W.1
-
27
-
-
0000034725
-
Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws
-
Cockburn, B., Johnson, C., Shu, C.-W., and Tadmor, E., Quarteroni, A. (eds.), Advanced Numerical Approximation of Nonlinear Hyperbolic Equations.
-
Shu, C.-W. (1998). Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws. In Cockburn, B., Johnson, C., Shu, C.-W., and Tadmor, E., Quarteroni, A. (eds.), Advanced Numerical Approximation of Nonlinear Hyperbolic Equations. Lecture Notes in Mathematics, Springer, Berlin, Vol. 1697, 325-432.
-
(1998)
Lecture Notes in Mathematics, Springer, Berlin
, vol.1697
, pp. 325-432
-
-
Shu, C.-W.1
-
28
-
-
45449125925
-
Efficient implementation of essentially non-oscillatory shock-capturing schemes
-
Shu, C.-W. and Osher, S. (1988). Efficient implementation of essentially non-oscillatory shock-capturing schemes. J. Comput. Phys. 77, 439-471.
-
(1988)
J. Comput. Phys.
, vol.77
, pp. 439-471
-
-
Shu, C.-W.1
Osher, S.2
-
29
-
-
4243869796
-
ZEUS-2D: A radiation magnetohydrodynamics code for astrophysical flows in two space dimensions. II the magnetohydrodynamic algorithms and tests
-
Stone, J. M., and Norman, M. L. (1992). ZEUS-2D: A radiation magnetohydrodynamics code for astrophysical flows in two space dimensions. II The magnetohydrodynamic algorithms and tests. Astrophys. J. Suppl. Ser. 80, 791-818.
-
(1992)
Astrophys. J. Suppl. Ser.
, vol.80
, pp. 791-818
-
-
Stone, J.M.1
Norman, M.L.2
-
30
-
-
0346046827
-
The Δ ∇a· B = 0 constraint in shock-capturing magnetohydrodynamics codes
-
Tóth, G. (2000). The Δ ∇· B = 0 constraint in shock-capturing magnetohydrodynamics codes, J. Comput. Phys. 161, 605-652.
-
(2000)
J. Comput. Phys.
, vol.161
, pp. 605-652
-
-
Tóth, G.1
-
31
-
-
0005384596
-
An Kelvin-Helmholtz instability at the magnetopause boundary
-
Wu, C. C. (1986). An Kelvin-Helmholtz instability at the magnetopause boundary. J. Geophys. Res. 91, 3042-3060.
-
(1986)
J. Geophys. Res.
, vol.91
, pp. 3042-3060
-
-
Wu, C.C.1
-
32
-
-
84894021661
-
Numerical solution of initial boundary value problems involving Max-well's equations in isotropic media
-
Yee, K. S. (1966). Numerical solution of initial boundary value problems involving Max-well's equations in isotropic media. IEEE Trans. on Antenna Propagation AP-14, 302-307.
-
(1966)
IEEE Trans. on Antenna Propagation AP
, vol.14
, pp. 302-307
-
-
Yee, K.S.1
|