truncation error Antonyms
No Synonyms and anytonyms found
Meaning of truncation error
Wordnet
truncation error (n)
(mathematics) a miscalculation that results from cutting off a numerical calculation before it is finished
truncation error Sentence Examples
- Truncation error arises from truncating an infinite series representation to a finite number of terms.
- The truncation error is the difference between the true value and the approximation obtained by truncation.
- Methods with low truncation error are desirable for accurate numerical simulations.
- Finite difference methods often suffer from significant truncation error due to the discrete nature of their approximation.
- Higher-order methods generally produce smaller truncation error, but may require more computational effort.
- Truncation error limits the accuracy of numerical solutions, regardless of the computational resources available.
- Adaptive mesh refinement techniques can help reduce truncation error by selectively refining regions with high error.
- Iterative methods, such as Picard iteration, can mitigate truncation error by successively improving the initial approximation.
- Truncation error can accumulate in multi-step methods, leading to significant deviations from the true solution.
- Careful consideration of truncation error is essential for the design of high-quality numerical algorithms.
FAQs About the word truncation error
(mathematics) a miscalculation that results from cutting off a numerical calculation before it is finished
No synonyms found.
No antonyms found.
Truncation error arises from truncating an infinite series representation to a finite number of terms.
The truncation error is the difference between the true value and the approximation obtained by truncation.
Methods with low truncation error are desirable for accurate numerical simulations.
Finite difference methods often suffer from significant truncation error due to the discrete nature of their approximation.
