Geodesic
The Godunov-type difference scheme for equations of relativistic magnetohydrodynamics
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 10, pp. 1584-1599 
A. V. Koldoba; G. V. Ustyugova. The Godunov-type difference scheme for equations of relativistic magnetohydrodynamics. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 10, pp. 1584-1599. http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_10_a10/
@article{ZVMMF_2002_42_10_a10,
     author = {A. V. Koldoba and G. V. Ustyugova},
     title = {The {Godunov-type} difference scheme for equations of relativistic magnetohydrodynamics},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1584--1599},
     year = {2002},
     volume = {42},
     number = {10},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_10_a10/}
}
TY  - JOUR
AU  - A. V. Koldoba
AU  - G. V. Ustyugova
TI  - The Godunov-type difference scheme for equations of relativistic magnetohydrodynamics
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2002
SP  - 1584
EP  - 1599
VL  - 42
IS  - 10
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_10_a10/
LA  - ru
ID  - ZVMMF_2002_42_10_a10
ER  - 
%0 Journal Article
%A A. V. Koldoba
%A G. V. Ustyugova
%T The Godunov-type difference scheme for equations of relativistic magnetohydrodynamics
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2002
%P 1584-1599
%V 42
%N 10
%U http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_10_a10/
%G ru
%F ZVMMF_2002_42_10_a10

Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Begelman M. C., Blandford R. D., Rees M. J., “Theory of extragalactic radio sources”, Rev. Mod. Phys., 56:2 (1984), 255–351 | DOI

[2] Anile A. M., Relativistic fluids and magnetofluids, Cambridge Univ. Press, Cambridge, 1989 | Zbl

[3] Lichnerowicz A., Relativistic hydrodynamics and magnetohydrodynamics, Benjamin, New York, 1967 | Zbl

[4] Komissarov S. S., “A Godunov-type scheme for relativistic magnetohydrodynamics”, Mon. Not. R. Astron. Soc., 303 (1999), 343–366 | DOI

[5] van Putten M. H. P. M., “A numerical implementation of MHD in divergence form”, J. Comput. Phys., 105 (1993), 339–353 | DOI | Zbl

[6] van Putten M. H. P. M., Uniqueness in MHD in divergence form: right nullvectors and well-posedness, Astroph/9804139

[7] Bogovalov S. V., “Acceleration of relativistic plasma in the magnetosphere of an axisymmetric rotator”, Astron. and Astrophys., 327 (1997), 662–670

[8] Pogorelov H. B., Semenov A. Yu., “Semeistvo priblizhennykh reshenii zadachi o raspade MGD-razryva, sokhranyayuschikh usloviya na skachkakh”, Zh. vychisl. matem. i matem. fiz., 37:3 (1997), 325–333 | MR | Zbl

[9] Osher S., Solomon F., “Upwind difference schemes for hyperbolic systems of conservation laws”, Math. Comput., 38 (1982), 339–348 | DOI | MR

[10] Roe P. L., “Characteristic-based schemes for the Euler equations”, Ann. Rev. Fluid Mech., 18 (1986), 337–365 | DOI | MR | Zbl

[11] Brio M., Wu C. C., “An upwind differencing scheme for the equations of ideal magnetohydrodynamics”, J. Comput. Phys., 75 (1988), 400–422 | DOI | MR | Zbl

[12] Landau L. D., Lifshits E. M., Gidrodinamika, Nauka, M., 1988

[13] Landau L. D., Lifshits E. M., Teoriya polya, Nauka, M., 1972

[14] Koldoba A. V., Ustyugova G. V., Priblizhennoe reshenie zadachi Rimana dlya uravnenii relyativistskoi magnitnoi gidrodinamiki, Preprint No 67, IPMatem. RAN, M., 1999

[15] Komissarov S. S., “On the properties of Alfven waves in relativistic magnetohydrodynamics”, Phys. Letts. A, 232 (1997), 435–442 | DOI | MR | Zbl