@Article{AAMM-6-5,
author = {Kosuke, Abe and Nobuyuki, Higashimori and Masayoshi, Kubo and Hiroshi, Fujiwara and Yuusuke, Iso},
title = {A Remark on the Courant-Friedrichs-Lewy Condition in Finite Difference Approach to PDE's},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2014},
volume = {6},
number = {5},
pages = {693--698},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2014.5.s6},
url = {https://global-sci.com/article/73465/a-remark-on-the-courant-friedrichs-lewy-condition-in-finite-difference-approach-to-pdes}
}