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In principle, the thermodynamic and thermochemical processes evolve with time, irrespectively of their spatial orientation. They are, therefore, specified in terms of ordinary differential equations with respect to time as the only independent variable. This feature is well reflected in the literature by the so-called zero-dimensional models. Current demands of technological progress impose much stricter requirements upon the precision of such calculations than ever before. A methodology for catering to them is presented. Its application is illustrated by the performance analysis of a Renault engine, operated at full and part loads, with particular emphasis placed upon the formation of major combustion-generated pollutants, NOx and CO, in a premixed-charge engine.