Sentence examples for by the error estimate from inspiring English sources

Confirmed by the error estimate, this solution strongly converges to the exact solution in L2-norm.

Also, in these cases, there were no doubts at all that a higher symmetric Bravais lattice type cannot be present due to its exclusion by the error estimates on the extracted lattice parameters.

As predicted by the error estimates, the Hermite-Gauss technique gives us a higher accuracy result than the results of sinc-Gaussian technique and the accuracy increases when N is fixed, but h decreases without any additional cost except that the function is approximated on a smaller domain.

In this article, we have quantitatively assessed the bias induced by reporting only the error estimate of an optimally selected classifier.

Mortici [8] provided a double inequality of the error estimate by the polynomial approximation.

Third paper is devoted to the error estimate by using Uzawa type method for free boundary value problems.

A method described in [22] is used to adjust the time step, which uses the error estimate returned by the integration scheme.

By (3.14), we get the error estimates.

(b) By (3.14), we get the error estimates.

Then we derive lower and upper bounds for the error estimates by bubble function techniques and use these indicators in adaptive finite element schemes.

The criterion for model selection was the leave-one-out (LOO) cross-validation procedure and therefore, for each algorithm, we have a set of 25 models and the error estimated by the LOO, respectively.