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truncation error

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truncation error [trəŋ′kā·shən ‚er·ər]
(engineering)
The error resulting from the analysis of a partial set of data in place of a complete or infinite set.
(mathematics)
The computation error resulting from use of only a finite number of terms of an infinite series.
The error resulting from the approximation of a derivative or differential by a finite difference.
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3 Evaluation techniques for window functions To keep the aliasing error and the truncation error small, several univariate functions T with good localisation in time and frequency domain were proposed.
Time and memory requirements of the nonequispaced FFT by Kunis, Stefan; Potts, Daniel / Sampling Theory in Signal and Image Processing
The truncation error is often referred to as numerical dispersion because, to lowest order, it can be represented as a second spatial derivative term added to any true dispersion term in the problem.
Applying the finite--volume method for solving the ... by Garrouch, A.A.; Al-Dousari, M.M. / International Journal of Petroleum Science and Technology
I,J] = [[DELTA]X(I,J)/[DELTA]t] + O([DELTA]t) = [[X(I,J) - X(I - 1,J)]/[DELTA]t] + O([DELTA]t) (11) where O([DELTA]t) denotes the truncation error for the finite-difference equation, [DELTA]t the time step.
Computer simulation of reactive extrusion processes for free radical ... by Jia, Yuxi; Zhang, Guofang; Wu, Lili; Sun, Sheng; Zhao, Guoqun; An, Lijia / Polymer Engineering and Science
 
 
 
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