Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 1, pp. 121-128
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A. N. Zavorin. Stable iterative realization of some implicit methods of integration. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 1, pp. 121-128. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a11/
@article{ZVMMF_1979_19_1_a11,
author = {A. N. Zavorin},
title = {Stable iterative realization of some implicit methods of integration},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {121--128},
year = {1979},
volume = {19},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a11/}
}
TY - JOUR
AU - A. N. Zavorin
TI - Stable iterative realization of some implicit methods of integration
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1979
SP - 121
EP - 128
VL - 19
IS - 1
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a11/
LA - ru
ID - ZVMMF_1979_19_1_a11
ER -
%0 Journal Article
%A A. N. Zavorin
%T Stable iterative realization of some implicit methods of integration
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1979
%P 121-128
%V 19
%N 1
%U http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a11/
%G ru
%F ZVMMF_1979_19_1_a11
An iterative method of realizing implicit methods for solving stiff systems of ordinary differential equations is described, whereby the stability of the implicit methods is retained for a large integration step, and calculation of the Jacobian, and matrix inversion, are not required. Specifically, our discussion is in reference to the Euler and trapezoid implicit methods.
