Sentence examples for reliability of approximation from inspiring English sources

This insight may shed light on the reliability of approximation schemes for effective stochastic dynamics in protein-only models.

The dual constraint relaxation reflects in two parts: on one hand, the objective function based on local region is exploited to replace the pointwise approximation method; on the other hand, considering the variance of local intensity distribution and the reliability of polynomial approximation, we utilize a Gaussian pyramid convolution strategy to devise polynomial fitting.

The reliability of the approximation is demonstrated via several engineering mechanics/dynamics related numerical examples pertaining to the stochastic beam bending problem, as well as to the response determination of stochastically excited nonlinear oscillators.

Effective a posteriori error bounds for field variables and outputs of interest are crucial for both the efficiency and the reliability of RB approximations.

We will explore the consequences in terms of accuracy and reliability of the approximations inherent to both the GLS and WLS method.

For most patterns, this approach improves the reliability of the approximations, even if we still see noticeable differences.

Therefore, it inevitably rises the question about the reliability of the computed approximations.

This paper draws together some important recent results which are designed to improve: (a) the robustness of standard score tests; and (b) the reliability of the asymptotic approximations used for inferential purposes.

An approximation method to estimate reliability of single-step results has been developed [ 23].

As a result of extending renewable resources and uncertainty in the nature of such resources, the modern complicated power systems should be analyzed in uncertain environment so that operating point and reliability of energy supply occur in approximation with the optimal point in reality.

The validity of the reliability approximation is checked by comparing the results to those derived through direct Monte Carlo simulation of the nonlinear model.