Numerical stability of the escalator boxcar train under reducing system of ordinary differential equations.

• The Escalator Boxcar Train (EBT) is one of the most popular numericalmethods used to study the dynamics of physiologically structured population models.The original EBT model accumulates an increasing system of ODEs to solve for eachtime step. In this project, we propose a merging procedure to overcome computationaldisadvantageous of the EBT method, the merging is done as an automatic feature.In particular we apply the model including merging to a colony of Daphnia Pulex.

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