Geodesic
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

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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. 
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     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},
     publisher = {mathdoc},
     volume = {23},
     number = {5},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a3/}
}
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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/