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 & Yuusuke Iso

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

Published online: 2014-06

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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.

  • Keywords

Numerical analysis finite difference scheme stability CFL condition

  • AMS Subject Headings

65M06 65M12 65G50

  • Copyright

COPYRIGHT: © Global Science Press

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