What does truncation error mean?
Definitions for truncation error
trun·ca·tion error
This dictionary definitions page includes all the possible meanings, example usage and translations of the word truncation error.
Princeton's WordNet
truncation errornoun
(mathematics) a miscalculation that results from cutting off a numerical calculation before it is finished
Wikipedia
Truncation error
In numerical analysis and scientific computing, truncation error is an error caused by approximating a mathematical process.
ChatGPT
truncation error
Truncation error is the discrepancy that arises from approximating a mathematical process. This error traditionally occurs in numerical analysis when an infinite sum or sequence is truncated or cut off after a finite number of terms, hence the term 'truncation'. The difference between the true value (result achieved without any truncation) and the approximated value (result after truncation) yields the truncation error.
Wikidata
Truncation error
In numerical analysis and scientific computing, truncation error is the error made by truncating an infinite sum and approximating it by a finite sum. For instance, if we approximate the sine function by the first two non-zero term of its Taylor series, as in for small, the resulting error is a truncation error. It is present even with infinite-precision arithmetic, because it is caused by truncation of the infinite Taylor series to form the algorithm. Often, truncation error also includes discretization error, which is the error that arises from taking a finite number of steps in a computation to approximate an infinite process. For example, in numerical methods for ordinary differential equations, the continuously varying function that is the solution of the differential equation is approximated by a process that progresses step by step, and the error that this entails is a discretization or truncation error. See Truncation error for more on this. Occasionally, round-off error is also called truncation error, especially if the number is rounded by truncation.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of truncation error in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of truncation error in Pythagorean Numerology is: 2
Translations for truncation error
From our Multilingual Translation Dictionary
- ٹرنکیشن کی خرابیUrdu
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"truncation error." Definitions.net. STANDS4 LLC, 2024. Web. 24 Apr. 2024. <https://www.definitions.net/definition/truncation+error>.
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