Well-posed problem
A well-posed problem is, roughly speaking, a numerical problem whose
solution changes by only a small amount if its data are changed by a small
amount. A measure of well-posedness is the condition.
If a problem is well-posed, then it stands a good chance of solution on
a computer using a stable algorithm. If it's not well-posed, it needs
to be re-formulated for numerical treatment.
The concept of well-posedness is related to that of continuity. In
fact, if the problem can be thought of as a function mapping its
data, which is an  -tuple of real numbers, into its solution, an
 -tuple of real numbers, then well-posedness of the problem is the
continuity of the function.
See also Numerical analysis, condition number
Referenced By
List of mathematical topics (V-Z)
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