Publicacións (33) Publicacións de Luis Maria Abia Llera

2025

  1. A convergence analysis for the approximation to the solution of an age-structured population model with infinite lifespan

    Mathematics and Computers in Simulation, Vol. 229, pp. 636-651

2022

  1. Analysis of a semi-Lagrangian numerical method in a cell dwarfism model

    International Journal of Computer Mathematics

  2. Numerical approximation of finite life-span age-structured population models

    Mathematical Methods in the Applied Sciences

  3. Numerical integration of an age-structured population model with infinite life span

    Applied Mathematics and Computation, Vol. 434

2021

  1. 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

  1. The convergence analysis of a numerical method for a structured consumer-resource model with delay in the resource evolution rate

    Mathematics, Vol. 8, Núm. 9

2019

  1. 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

  2. Numerical analysis of a cell dwarfism model

    Journal of Computational and Applied Mathematics, Vol. 349, pp. 82-92

2018

  1. 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

  2. Approximating the survival probability in finite life-span population models

    Journal of Computational and Applied Mathematics, Vol. 330, pp. 783-793

2014

  1. Numerical integration of a hierarchically size-structured population model with contest competition

    Journal of Computational and Applied Mathematics, Vol. 258, pp. 116-134

2011

  1. Imaginary: una mirada matemática

    Alkaid: revista multitemática, Núm. 11, pp. 80-85

2010

  1. 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

  2. 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

  1. 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

  1. Age-structured population models and their numerical solution

    Ecological Modelling

2004

  1. Size-structured population dynamics models and their numerical solutions

    Discrete and Continuous Dynamical Systems - Series B, Vol. 4, Núm. 4, pp. 1203-1222

2001

  1. 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

  1. On the numerical integration of non-local terms for age-structured population models

    Mathematical Biosciences

1998

  1. 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