Increasing Efficiency in the EBT Algorithm

Tin Nwe Aye () and Linus Carlsson ()
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Tin Nwe Aye: Mälardalen University, Division of Applied Mathematics
Linus Carlsson: Mälardalen University, Division of Applied Mathematics

Chapter Chapter 19 in Demography of Population Health, Aging and Health Expenditures, 2020, pp 289-317 from Springer

Abstract: Abstract The Escalator Boxcar Train (EBT) is a commonly used method for solving physiologically structured population models. The main goal of this paper is to overcome computational disadvantages of the EBT method. We prove convergence, for a general class of EBT models in which we modify the original EBT formulation, allowing merging of cohorts. We show that this modified EBT method induces a bounded number of cohorts, independent of the number of time steps. This in turn, improves the numerical algorithm from polynomial to linear time. An EBT simulation of the Daphnia model is used as an illustration of these findings.

Keywords: Escalator boxcar train; Physiologically structured population models; Daphnia; Merging (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:ssdmcp:978-3-030-44695-6_19

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DOI: 10.1007/978-3-030-44695-6_19

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