Sufficient conditions for the preservation of the boundedness in a numerical method for a physical model with transport memory and nonlinear damping-Reference-Cited by-同舟云学术

Sufficient conditions for the preservation of the boundedness in a numerical method for a physical model with transport memory and nonlinear damping

Published:2011-12 Issue:12 Volume:182 Page:2471-2478
ISSN:0010-4655
Container-title:Computer Physics Communications
language:en
Short-container-title:Computer Physics Communications

Author:

Macías-Díaz J.E.

Publisher

Elsevier BV

Subject

General Physics and Astronomy,Hardware and Architecture

Reference41 articles.

1. The wave of advance of advantageous genes;Fisher;Ann. Eugenics,1937

2. Étude de lʼéquations de la diffusion avec croissance de la quantité de matière et son application a un problème biologique;Kolmogorov;Bull. Univ. Moskou, Ser. Internat.,1937

3. Multidimensional nonlinear diffusion in population genetics;Aronson;Adv. Math.,1978

4. On the stability of nonlinear space-dependent reactor kinetics;Kastenberg;Nucl. Sci. Eng.,1968

5. Models of epidermal wound healing;Sherratt;Proc. Biol. Sci.,1990

Cited by 28 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Design and analysis of a dissipative scheme to solve a generalized multi-dimensional Higgs boson equation in the de Sitter space–time;Journal of Computational and Applied Mathematics;2022-04

2. On the Question of Self-Organization of Population Dynamics on Earth;Biophysics;2021-09

3. A dynamically consistent exponential scheme to solve some advection–reaction equations with Riesz anomalous diffusion;Journal of Computational and Applied Mathematics;2020-11

4. Fractional generalization of the fermi–Pasta–Ulam–Tsingou media and theoretical analysis of an explicit variational scheme;Communications in Nonlinear Science and Numerical Simulation;2020-09

5. On the solution of a generalized Higgs boson equation in the de Sitter space-time through an efficient and Hamiltonian scheme;Journal of Computational Physics;2020-09