truncation error
- noun
- /trʌŋˈkeɪʃən ˈɛrər/
- Specialized
- When performing numerical calculations, it is important to minimize the truncation error to ensure accurate results.
Examples
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What you need to make delta X small enough that the truncation error is small, but not so small that the round off errors kill you.
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The numerical error could be further decomposed into discretization error, truncation error (in reduced-order modeling), round-off error, etc.
Academic text (2018) -
This number can be determined from the exponent to be reduced, so we have a useful bound on the total truncation error.
Academic text (1999) -
A significant truncation error may arise if the calculation is stopped too early, leading to incorrect conclusions.
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Engineers often face truncation error when simplifying complex equations during their simulations.
Synonyms
A computer problem that makes a program give a wrong result or stop
A wrong estimate of numbers or plans that causes problems
A mistake in information or measurement
An error in calculating numbers or amounts
Antonyms
Surface Forms
Morphology
The meaning 'an error caused by shortening or omitting part of a calculation' is directly and compositionally derivable from 'truncation' (shortening by removing part) + 'error' (an incorrect result). This noun–noun technical compound follows a transparent formation and would be understandable to a learner who knows both constituent words.
Etymology
Truncation error comes from the image of truncation as 'cutting off' the end of a number or calculation and the word error meaning a mistake. That's why the term means the small mistake that happens when you stop a calculation early or drop digits.