A Remark on the Courant-Friedrichs-Lewy Condition in Finite Difference Approach to PDE%26apos;s

作者：Abe Kosuke; Higashimori Nobuyuki; Kubo Masayoshi; Fujiwara Hiroshi; Iso Yuusuke^*

来源：Advances in Applied Mathematics and Mechanics, 2014, 6(5): 693-698.

DOI：10.4208/aamm.2014.5.s6

• Numerical analysis
• finite difference scheme
• stability
• CFL condition

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.

• 出版日期2014-10