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Replacing by and by ,
, or we arrive at various approximations to the
first derivative of at :
DNGF
(Differentiated Newton-Gregory Forward):
Example:
DNGB
(Differentiated Newton-Gregory Backward):
Example:
DST
(Differentiated Stirling):
Example:
Figure: Comparison of various simple approximations to the
first differential quotient:
Next: 1.3.2 Second Derivatives
Up: 1.3 Difference Quotients
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Franz J. Vesely Oct 2005
See also: "Computational Physics - An Introduction," Kluwer-Plenum 2001