Numerical error: Difference between revisions

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Add links to separate pages for roundoff and truncation error, move explanation for origin of "truncation" to Truncation error
 
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==Types==
It can be the combined effect of two kinds of error in a calculation.
* theThe first is referred to as [[Round-off error]] and is caused by the finite [[Precision (computer science)|precision]] of computations involving [[floating-point]] or integer valuesnumbers.
* theThe second, usually called truncation[[Truncation error]], is the difference between the exact mathematical solution and the approximate solution obtained when simplifications are made to the mathematical equations to make them more amenable to calculation. The term truncation comes from the fact that either these simplifications usually involve the truncation of an [[infinite series]] expansion so as to make the computation possible and practical, or because the least significant bits of an arithmetic operation are thrown away.
 
==Measure==
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* [[Loss of significance]]
* [[Numerical analysis]]
* [[Error analysis (mathematics)]]
* [[Round-off error]]
* [[Kahan summation algorithm]]
* [[Impact of error]]
* [[Numerical sign problem]]