Volume 6, Issue 5
A Remark on the Courant-Friedrichs-Lewy Condition in Finite Difference Approach to PDE's

Kosuke Abe ,  Nobuyuki Higashimori ,  Masayoshi Kubo ,  Hiroshi Fujiwara and Yuusuke Iso

10.4208/aamm.2014.5.s6

Adv. Appl. Math. Mech., 6 (2014), pp. 693-698.

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  • 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.

  • History

Published online: 2014-06

  • AMS Subject Headings

65M06, 65M12, 65G50

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