Sentence examples for derive error from inspiring English sources

We investigate the stability and derive error estimates for the methods and further experimentally study their performance on a representative number of numerical examples.

In this section, we present some applications of the results established above, and derive error bounds for some numerical quadrature formulae.

For illustrating the applications of the Ostrowski-Grüss type inequalities established, we apply them to derive error bounds for some numerical integration formulae.

To better deal with singularity problems, in this paper, we combine the FS and the SPS in the Trefftz methods (TM), explore efficient coupling techniques, and derive error bounds.

The Bayesian nature of the model allows for the quantification of the uncertainties due to the limited number of simulations, i.e., we can derive error bars for the statistics of interest.

In order to derive error estimates, we assume the regularity (uin(H^{2}(Omega_{f}))^{d}times H^{2}(Omega_{p})) and (pin H^{1}(Omega_{f})), and the finite element spaces as described above of first-order approximation (mathcal{O}(h)) are used for the fluid and porous media regions.

Figure 5 Comparison of PER performance between Monte Carlo simulation and the derived error probability for B = 128.

This suggests that our derived error estimates do not depend explicitly on ε as predicted by Theorem 3.3.

The probable reason behind unlike outcomes of different linearized forms of one equation may be the variation in derived error functions.

It can be seen that the derived error probability matches simulation results for 4-PIM and 8-PIM, while for 2-PIM there is a slight difference for large.

In both cases, the derived error rate is very close to 0.5%.