Study on the efficiency in the numerical integration of size-structured population models: Error and computational cost.

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Bibliographic Details
Title: Study on the efficiency in the numerical integration of size-structured population models: Error and computational cost.
Authors: Angulo, O.1 oscar@mat.uva.es, López-Marcos, J.C.2 lopezmar@mac.uva.es, López-Marcos, M.A.2 malm@mac.uva.es
Source: Journal of Computational & Applied Mathematics. Jan2016, Vol. 291, p391-401. 11p.
Subjects: Error analysis in mathematics, Computational complexity, Finite difference method, Discretization methods, Mathematical models
Abstract: We describe a procedure which is useful to select an appropriate numerical method in a size-structured population model. We consider four different numerical methods based on finite difference schemes or characteristics curves integration. We compute an analytical approximation in terms of the discretization parameters for the theoretical error principal terms and the computational cost. Thus, we show the efficiency curve that allows to select the best relationship between the discretization parameters for each numerical method. Finally, we obtain the most efficient numerical method for each test. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:We describe a procedure which is useful to select an appropriate numerical method in a size-structured population model. We consider four different numerical methods based on finite difference schemes or characteristics curves integration. We compute an analytical approximation in terms of the discretization parameters for the theoretical error principal terms and the computational cost. Thus, we show the efficiency curve that allows to select the best relationship between the discretization parameters for each numerical method. Finally, we obtain the most efficient numerical method for each test. [ABSTRACT FROM AUTHOR]
ISSN:03770427
DOI:10.1016/j.cam.2015.03.022