Numerical integration of the ordinary differential equations of non-isothermal kinetics using slow combinations

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.