  In this paper we utilize the Proper Orthogonal Decomposition (POD) method for
model order reduction in application to Smoluchowski aggregation equations with
source and sink terms. In particular, we show in practice that there exists a
low-dimensional space allowing to approximate the solutions of aggregation
equations. We also demonstrate that it is possible to model the aggregation
process with the complexity depending only on dimension of such a space but not
on the original problem size. In addition, we propose a method for
reconstruction of the necessary space without solving of the full evolutionary
problem, which can lead to significant acceleration of computations, examples
of which are also presented.
