Editing Discretization error (section)

==Related phenomena==
In [[signal processing]], the analog of discretization is [[Sampling (signal processing)|sampling]], and results in no loss if the conditions of the [[sampling theorem]] are satisfied, otherwise the resulting error is called [[aliasing]].

Discretization error, which arises from finite resolution in the ''domain,'' should not be confused with [[quantization error]], which is finite resolution in the ''range'' (values), nor in [[round-off error]] arising from [[floating-point arithmetic]].  Discretization error would occur even if it were possible to represent the values exactly and use exact arithmetic – it is the error from representing a function by its values at a discrete set of points, not an error in these values.<ref>{{cite book | first = Nicholas | last=Higham | title=Accuracy and Stability of Numerical Algorithms |edition = 2 | doi = 10.1137/1.9780898718027 | publisher = SIAM | year=2002 | pages=5 | isbn = 978-0-89871-521-7 | series = Other Titles in Applied Mathematics | url=http://eprints.maths.manchester.ac.uk/238/4/asna2_cover.pdf }}</ref>