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##

1.2.3 ST Interpolation

Let us try to interpolate around employing the central differences
,
etc.

Difficulty:
Central differences of odd order cannot be
evaluated using a given table of function values.
Replace each term of the form
by its central
mean. We find the even order polynomials

**Stirling interpolation:**

__EXAMPLE:__
With (or ) we have

In a region symmetric about the Stirling polynomial gives,
for equal orders of error, the ``best'' approximation to the tabulated
function.

* Franz J. Vesely Oct 2005*

See also: "Computational Physics - An Introduction," Kluwer-Plenum 2001