@Article{AAMM-6-693, author = {Abe , KosukeHigashimori , NobuyukiKubo , MasayoshiFujiwara , Hiroshi and Iso , Yuusuke}, 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 = {

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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2014.5.s6}, url = {http://global-sci.org/intro/article_detail/aamm/43.html} }