  In the following paper we reconsider a recently introduced numerical scheme.
The method was designed for a wide class of size structured population models
as a variation of the Escalator Boxcar Train (EBT) method, which is commonly
used in computational biology. The scheme under consideration bases on the
kinetic approach and the split-up technique - it approximates a solution by a
sum of Dirac measures at each discrete time moment. In the current paper we
propose a modification of this algorithm, which prevents (possible) exponential
growth of the number of Dirac Deltas approximating the solution. Our approach
bases on the finite range approximation of a coefficient which describes birth
processes in a population. We provide convergence results, including the
convergence speed. Moreover, some results of numerical simulations for several
test cases are shown.
