From the perspectives of training and research’ models with concentrated parameters and models with distributed parameters represent two levels of simulation of the dynamics of the thermal state of blast furnaces. Using a hierarchical structure with a minimum of equations in the basic system ensures visibility — a prerequisite to success. The use of nonstandard numerical methods provides for stable calculations with a minimum number of steps in the subdivision and’ thus’ high speed in the calculation. The use of such models by technologists will improve the quality of the intuitive decisions that they make.