Abstract
The main concepts of a new method for modelling numerically the evolution of large discrete systems with interacting elements are analyzed. The typical properties of the corrected sets used in the method are considered. It is shown that the use of this method for computer-evaluating a specific class of processes (collision, coagulation or division processes etc.) leads to a reduction of computer time as compared with traditional methods. The reduction is proportional to the number of elements of the evolving system. Numerical experiments confirm the high efficiency of the method.
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