Numerical instability

Numerical Instability deals with an unexpected phenomenon, whose provenence is very obscure, which arises from the numerical solution of differential equations. 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 magnification effect of small errors on the numerical results.