Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 5, pp. 1060-1071
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A. Ya. Dubovitskii; V. A. Dubovitskii. Numerical integration of the ordinary differential equations of non-isothermal kinetics using slow combinations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 5, pp. 1060-1071. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a3/
@article{ZVMMF_1983_23_5_a3,
author = {A. Ya. Dubovitskii and V. A. Dubovitskii},
title = {Numerical integration of the ordinary differential equations of non-isothermal kinetics using slow combinations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1060--1071},
year = {1983},
volume = {23},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a3/}
}
TY - JOUR
AU - A. Ya. Dubovitskii
AU - V. A. Dubovitskii
TI - Numerical integration of the ordinary differential equations of non-isothermal kinetics using slow combinations
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1983
SP - 1060
EP - 1071
VL - 23
IS - 5
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a3/
LA - ru
ID - ZVMMF_1983_23_5_a3
ER -
%0 Journal Article
%A A. Ya. Dubovitskii
%A V. A. Dubovitskii
%T Numerical integration of the ordinary differential equations of non-isothermal kinetics using slow combinations
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1983
%P 1060-1071
%V 23
%N 5
%U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a3/
%G ru
%F ZVMMF_1983_23_5_a3
Difference methods of integrating the systems of ordinary differential equations of non-isothermal kinetics are analyzed. It is shown that, in a wide range of conventional schemes, the only scheme ensuring asymptotic approximation of the initial system is Euler's implicit method. The method of numerical integration is based on non-local methods of solving the non-isothermal implicit difference schemes and takes account of their strong temperature non-linearity.
