[1] data truncation may occur automatically, such as when a long string is written to a smaller buffer, or deliberately, when only a portion of the data is wanted. That is, it is the quantity if refers to the exact value and to the numerical approximation. The error caused by choosing a finite number of rectangles as opposed to an infinite number of them is a truncation error in the mathematical process of integration.
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Truncation errors in numerical integration are of two kinds
The above definitions are particularly relevant in situations where truncation errors are not important
In other contexts, for instance when solving differential equations, a different definition of numerical stability is used They are related to some concept of stability in. Truncation (statistics) in statistics, truncation results in values that are limited above or below, resulting in a truncated sample [1] a random variable is said to be truncated from below if, for some threshold value , the exact value of is known for all cases , but unknown for all cases.
A device or algorithmic function that performs quantization is called a quantizer. An expression of general interest is the local truncation error of a method
