A numerical method for solving Vlasov's system of equations, based on a combination of the particles in a cell and the “water bag” methods
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 1, pp. 165-173
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To study processes in a collisionless plasma a new numerical method is proposed in which Vlasov's equation for the electrons is solved by the method of particles in a cell, and the ion equation by the “water bag” method. The efficiency of the proposed approach for the numerical simulation of the interaction of intense electromagnetic radiation with a plasma is demonstrated.
@article{ZVMMF_1979_19_1_a15,
author = {N. E. Andreev and V. P. Silin and G. L. Stenchikov},
title = {A~numerical method for solving {Vlasov's} system of equations, based on a combination of the particles in a cell and the {\textquotedblleft}water bag{\textquotedblright} methods},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {165--173},
publisher = {mathdoc},
volume = {19},
number = {1},
year = {1979},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a15/}
}
TY - JOUR AU - N. E. Andreev AU - V. P. Silin AU - G. L. Stenchikov TI - A numerical method for solving Vlasov's system of equations, based on a combination of the particles in a cell and the “water bag” methods JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1979 SP - 165 EP - 173 VL - 19 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a15/ LA - ru ID - ZVMMF_1979_19_1_a15 ER -
%0 Journal Article %A N. E. Andreev %A V. P. Silin %A G. L. Stenchikov %T A numerical method for solving Vlasov's system of equations, based on a combination of the particles in a cell and the “water bag” methods %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1979 %P 165-173 %V 19 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a15/ %G ru %F ZVMMF_1979_19_1_a15
N. E. Andreev; V. P. Silin; G. L. Stenchikov. A numerical method for solving Vlasov's system of equations, based on a combination of the particles in a cell and the “water bag” methods. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 1, pp. 165-173. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a15/