Juan Carlos
Lopez Marcos
Publicaciones (64) Publicaciones de Juan Carlos Lopez Marcos
2025
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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
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An age-structured population model with delayed and space-limited recruitment
Communications in Nonlinear Science and Numerical Simulation, Vol. 112
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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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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
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Numerical integration of an erythropoiesis model with explicit growth factor dynamics
Journal of Computational and Applied Mathematics, Vol. 330, pp. 770-782
2017
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A second-order numerical method for a cell population model with asymmetric division
Journal of Computational and Applied Mathematics, Vol. 309, pp. 522-531
2016
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Study on the efficiency in the numerical integration of size-structured population models: Error and computational cost
Journal of Computational and Applied Mathematics, Vol. 291, pp. 391-401
2015
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A Second-Order Method for the Numerical Integration of a Size-Structured Cell Population Model
Abstract and Applied Analysis, Vol. 2015
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Second-order numerical integration of a size-structured cell population model with asymmetric division
Proceedings of the XXIV Congress on Differential Equations and Applications, XIV Congress on Applied Mathematics
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Second-order numerical integration of a size-structured cell population model with equal fission
Proceedings of the XXIV Congress on Differential Equations and Applications, XIV Congress on Applied Mathematics
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The Extrapolated Crank–Nicolson Orthogonal Spline Collocation Method for a Quasilinear Parabolic Problem with Nonlocal Boundary Conditions
Journal of Scientific Computing, Vol. 62, Núm. 1, pp. 265-283
2014
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Analysis of an efficient integrator for a size-structured population model with a dynamical resource
Computers and Mathematics with Applications
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Asymptotic behaviour of a mathematical model of hematopoietic stem cell dynamics
International Journal of Computer Mathematics, Vol. 91, Núm. 2, pp. 198-208
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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