Sentence examples for as for the approximation from inspiring English sources

Since an algorithmic construction plays a key role in solving nonlinear equations in various fields of investigation, numerous implicit and explicit algorithms have been developed for the approximate solution of nonlinear equations as well as for the approximation of fixed points of various mappings [5 7].

Here, the NURBS basis functions are employed for the description of the geometry of the boundary as well as for the approximation of the displacements at the boundary.

The resulting error indicators allow for an efficient offline/online decomposition and are used for an efficient reduced basis construction, both for the homogenization limit, as well as for the approximation of the corresponding cell problems.

As for the approximation of ANPA, N c ×n t needs to be large enough.

Intermediate computations follow the same steps as for the approximation of p(a i,z i |y 1 n ).

The following lemma acts as a basis for the approximation of the solution around the vertices (dot{gamma}_{j}) with angle (alpha_{j}pi), (alpha_{j}neq1/3).

To the best of our knowledge, Kuhfittig iteration has never been used as a tool for the approximation of common fixed points of a finite family of asymptotically quasi-nonexpansive mappings.

The approximation of the critical crack length is performed using the same calibration samples as those used for the approximation of the crack length.

We used the obtained value as the initial condition for the approximation of the steady state.

Note that if X is a stationary irreducible Markov process on a finite state space, then the occupancy probability of state i, π i > 0. By choosing N tot ≫ 1 / ( min { π i } ), we may guarantee that the mean population X ¯ i for each i is as large as necessary for the Gaussian approximation to hold.

The eigenvalues resulting from the analysis offer important information for the approximation purposes as it was discussed in Section 3.2.