Luis Maria
Abia Llera
Publicaciones (32) Publicaciones de Luis Maria Abia Llera
2022
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Analysis of a semi-Lagrangian numerical method in a cell dwarfism model
International Journal of Computer Mathematics
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Numerical approximation of finite life-span age-structured population models
Mathematical Methods in the Applied Sciences
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Numerical integration of an age-structured population model with infinite life span
Applied Mathematics and Computation, Vol. 434
2021
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Computational study on the dynamics of a consumer-resource model: The influence of the growth law in the resource
Mathematics, Vol. 9, Núm. 21
2020
2019
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Divulgando en píldoras y desarrollando competencias orales y escritas en el alumnado de Cálculo Numérico
IN-RED 2019: V Congreso de Innovación Educativa y Docencia en Red
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Numerical analysis of a cell dwarfism model
Journal of Computational and Applied Mathematics, Vol. 349, pp. 82-92
2018
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A numerical study on the estimation of the stable size distribution for a cell population balance model
Mathematical Methods in the Applied Sciences, Vol. 41, Núm. 8, pp. 2894-2905
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Approximating the survival probability in finite life-span population models
Journal of Computational and Applied Mathematics, Vol. 330, pp. 783-793
2014
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Numerical integration of a hierarchically size-structured population model with contest competition
Journal of Computational and Applied Mathematics, Vol. 258, pp. 116-134
2011
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Imaginary: una mirada matemática
Alkaid: revista multitemática, Núm. 11, pp. 80-85
2010
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Long-time simulation of a size-structured population model with a dynamical resource
Mathematical Modelling of Natural Phenomena, Vol. 5, Núm. 6, pp. 1-21
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Numerical study on the proliferation cells fraction of a tumour cord model
Mathematical and Computer Modelling, Vol. 52, Núm. 7-8, pp. 992-998
2009
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Numerical schemes for a size-structured cell population model with equal fission
Mathematical and Computer Modelling, Vol. 50, Núm. 5-6, pp. 653-664
2005
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Age-structured population models and their numerical solution
Ecological Modelling
2004
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Size-structured population dynamics models and their numerical solutions
Discrete and Continuous Dynamical Systems - Series B, Vol. 4, Núm. 4, pp. 1203-1222
2001
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The Euler method in the numerical integration of reaction-diffusion problems with blow-up
Applied Numerical Mathematics, Vol. 38, Núm. 3, pp. 287-313
1999
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On the numerical integration of non-local terms for age-structured population models
Mathematical Biosciences
1998
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Blow-up en semidiscretizaciones de modelos de reacción-difusión
XV Congreso de ecuaciones diferenciales y aplicaciones, V Congreso de Matemática Aplicada : Vigo, 23-26 septiembre 1997
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On the blow-up time convergence of semidiscretizations of reaction - Diffusion equations
Applied Numerical Mathematics, Vol. 26, Núm. 4, pp. 399-414