Close Search Advanced
Journals
Resources
About Us
Open Access

A Remark on the Courant-Friedrichs-Lewy Condition in Finite Difference Approach to PDE's

A Remark on the Courant-Friedrichs-Lewy Condition in Finite Difference Approach to PDE's
Add to basket

Year:    2014

Author:    Kosuke Abe, Nobuyuki Higashimori, Masayoshi Kubo, Hiroshi Fujiwara, Yuusuke Iso

Advances in Applied Mathematics and Mechanics, Vol. 6 (2014), Iss. 5 : pp. 693–698

Abstract

The Courant-Friedrichs-Lewy condition (The CFL condition) is appeared in the analysis of the finite difference method applied to linear hyperbolic partial differential equations. We give a remark on the CFL condition from a view point of stability, and we give some numerical experiments which show instability of numerical solutions even under the CFL condition. We give a mathematical model for rounding errors in order to explain the instability.

Submit Article

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.2014.5.s6

Advances in Applied Mathematics and Mechanics, Vol. 6 (2014), Iss. 5 : pp. 693–698

Published online:    2014-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    Numerical analysis finite difference scheme stability CFL condition.

Author Details

Kosuke Abe

Nobuyuki Higashimori

Masayoshi Kubo

Hiroshi Fujiwara

Yuusuke Iso

  1. Mathematical modelling of a pest in an age-structured crop model: The coffee berry borer case

    Fotso, Yves Fotso | Touzeau, Suzanne | Tsanou, Berge | Grognard, Frédéric | Bowong, Samuel

    Applied Mathematical Modelling, Vol. 110 (2022), Iss. P.193

    https://doi.org/10.1016/j.apm.2022.05.042 [Citations: 2]

  2. A spin–rotation mechanism of Einstein–de Haas effect based on a ferromagnetic disk

    Nie, Xin | Li, Jun | Datta, Trinanjan | Yao, Dao-Xin

    Frontiers of Physics, Vol. 19 (2024), Iss. 5

    https://doi.org/10.1007/s11467-023-1389-9 [Citations: 1]

  3. Thermal fluid modeling of a passive heating system

    Hami, Khelifa | Draoui, Belkacem | Imine, Omar | Hami, Omar

    Journal of Renewable and Sustainable Energy, Vol. 8 (2016), Iss. 1

    https://doi.org/10.1063/1.4942542 [Citations: 4]

  4. On computational stability of explicit schemes in nonlinear engineering dynamics

    Vala, Jiří | Jarošová, Petra

    INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2021, (2023), P.370004

    https://doi.org/10.1063/5.0162288 [Citations: 0]