Geodesic
Application of the parallel-chord method to solve implicit difference equations of magnetohydrodynamics
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 936-946 Cet article a éte moissonné depuis la source Math-Net.Ru

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A system of implicit difference equations of magnetohydrodynamics in a two-dimensional formulation is examined. The initial equations are linearized in such a way that a set of linear equations is obtained in increments of the node coordinates of a difference mesh. The matrix of the system is symmetric and positive definite, which enables effective methods of inversion to be used. A numerical solution of a model problem of the compression of a finite perfectly conducting plasma in a magnetic field is given as an example. 
@article{ZVMMF_1983_23_4_a16,
     author = {V. A. Gasilov and T. K. Korshija and B. Ya. Lyubimov and V. F. Tishkin and A. P. Favorski and M. Yu. Shashkov},
     title = {Application of the parallel-chord method to solve implicit difference equations of magnetohydrodynamics},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {936--946},
     year = {1983},
     volume = {23},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a16/}
}
TY  - JOUR
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AU  - T. K. Korshija
AU  - B. Ya. Lyubimov
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%A T. K. Korshija
%A B. Ya. Lyubimov
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%A M. Yu. Shashkov
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V. A. Gasilov; T. K. Korshija; B. Ya. Lyubimov; V. F. Tishkin; A. P. Favorski; M. Yu. Shashkov. Application of the parallel-chord method to solve implicit difference equations of magnetohydrodynamics. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 936-946. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a16/