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A Remark on the Courant-Friedrichs-Lewy Condition in Finite Difference Approach to PDE’s
Published online by Cambridge University Press: 03 June 2015
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.
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- Copyright © Global-Science Press 2014
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