2026-05-05T19:48:53Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/624212023-10-27T19:00:39Zcom_10324_1176com_10324_931com_10324_894col_10324_1359
UVaDOC
author
Abia Llera, Luis María
author
Angulo Torga, Óscar
author
López Marcos, Juan Carlos
author
López Marcos, Miguel Ángel
2023-10-27T08:35:24Z
2023-10-27T08:35:24Z
2022
International Journal of Computer Mathematics, 2022
0020-7160
https://uvadoc.uva.es/handle/10324/62421
10.1080/00207160.2022.2159394
1
13
International Journal of Computer Mathematics
1029-0265
In this work, we introduce a new semi-Lagrangian numerical method proposed to solve a cell population balance model which describes cell dwarfism, by allowing cell division at any size. We analyse its convergence and derive an optimal rate. Numerical experiments are reported to demonstrate the predicted accuracy of the scheme. Finally, the good behaviour of the numerical method is exhibited in stressed conditions that can provoke lack of smoothness and simulations are included to show how the increase in the division rate of small size-cells promotes dynamics in which nonfunctional dwarf cells are saturating the total cell population.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Analysis of a semi-Lagrangian numerical method in a cell dwarfism model
info:eu-repo/semantics/article
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