.. _sec.solvers.fixedpivot:

Fixed pivot
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This solver calculates the birth rate :math:`B_{agg}(n,v,t)` and death rate :math:`D_{agg}(n,v,t)` using a fixed pivot technique. 


.. note:: solid phase and particle size distribution are required for the simulation. 


.. seealso:: S.Kumar, D. Ramkrishna, On the solution of population balance equations by discretization – I. A fixed pivot technique. Chem. Eng. Sci. 51 (8) (1996), 1311-1332.

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