Numerical instability

This article deals with an unexpected phenomenon, whose provenence is very obscure, which arises from the numerical solution of differential equations - that of Numerical Instability. The usual notion of instability includes concepts such as fickleness, unreliability, and oversensitivity. If a computation is numerically unstable it gives inaccurate results. A major source of numerical instability results from the cumulative effect of small errors on the numerical results.

More will appear in this article in the following days 09/21/05