Sentence examples for of the approximation process from inspiring English sources

The essential components of the method are (i) the rapid convergence of global reduced basis approximations – Galerkin projection onto a space WN spanned by solutions of the governing partial differential equation at N selected points in parameter space; (ii) the off-line/on-line computational procedures decoupling the generation and projection stages of the approximation process.

Then she obtained the first three moments and gave the rate of convergence of the approximation process in terms of the first modulus of continuity [20].

Furthermore, in Section 5, we compute the degree of convergence of the approximation process in terms of the modulus of continuity and the Lipschitz class functions.

Furthermore, we compute the degree of convergence of the approximation process in terms of the first modulus of continuity of the derivative of the function.

In addition, we calculate the degree of convergence of the approximation process in terms of the first modulus of continuity of the derivative of the function.

In Section 4, we obtain the rate of convergence of the approximation process in terms of the first and the second modulus of continuity and also by means of Lipschitz class functions.

It uses the readily exact function value of a nearest neighbor in the population of the new child to compare with that of the parent, thus the approximation process is not necessary.

Nevertheless, it is difficult to estimate the inherent errors of the continuous approach arising from the approximation process in evaluating natural frequencies, especially higher frequencies, of the combined system.

The subset of mutation pairs being used in the approximation process had a marked effect on the distribution of the estimated deviations (Figure 4).

Additional modifications to enhance the present framework either in biological and/or computational terms include using deviations from the expected fitness as weights in the least squares approximation and using the sign of the deviations when including or excluding a mutation pair over the course of the sequential approximation process.

In this way, at the end of approximation process, if the filter becomes unstable, there is a need for stabilization procedures that produce a stable filter with similar magnitude response as that of the unstable filter.