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.
References in periodicals archive ?
Concerning the truncation error of a generalized Jacobi series, the following estimate holds (see [3, Theorem 4.
In [30, 31, 211 22] the truncation error estimates were obtained for particular classes of band--limited functions and some illustrative examples were given.
When Molodensky (1960) introduced the idea of modification of Stokes' formula, the truncation error was the dominating error source.
h), we see that a large size step h will induce a large truncation error and a small size step h will induce a large roundoff error.
i]] and from (12), E = (A + M)L(h), using (13) and the truncation error vector L(h), it follows that for (7) and (8) [parallel] E [parallel]= O([h.
It gives a bound for the truncation error arising in the approximation of a matrix integral by quadrature.
This implies that the smaller the side lobes are, the smaller the truncation error will be.
These methods are categorized as deterministic ones in which the truncation error of the integral is minimized.
7)] converges absolutely if [beta] > 0 and \Z\ < 1, and the truncation error [r.
Truncation error analysis and convergence rate is provided in weak Cramer class random fields.