Population balance models represent an accurate and general way of describing the complicated
dynamics of cell growth. In this paper we study the numerical integration of a model
for the evolution of a size-structured cell population with asymmetric division. We present
and analyze a novel and efficient second-order numerical method based on the integration
along the characteristic curves. We prove the optimal rate of convergence of the scheme
andweratify it by numerical simulation. Finally,weshow that the numerical scheme serves
as a valuable tool in order to approximate the stable size distribution of the model.
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