Sentence examples for as an approximation solution from inspiring English sources

It has been shown that such sequences are sequentially compact in the weak topology of (L^{p}(Omega times H^{1}(Omega)) and each of their cluster points can be interpreted as an approximation solution to the original BVP.

In all the experiment cases, if ϵ t+1 < 10-7 or ∥x (t+1 -x (t+1 -x < 10-8, the iteration terminates and outputs x (t+1) as an approximation solution of original signal x; otherwise, we let the algorithms run to the maximum number of iterations m a x = 2000.

This accuracy could be the optimal solution, if known, or an approximation solution, as though both algorithms produce the same value at the end.

As discussed in Section 2.1.3, the maximum weighted matching is time-consuming and therefore we propose an approximation solution in that section.

where the superscript of φ app indicates that the solution of (26a) may be regarded as an approximation for the solution φ of the accurate streamfunction Eq. (16) associated with EPV.

The superscript of φ app∗ indicates that the solution of (18a) may be regarded as an approximation for the solution φ ∗ of the accurate streamfunction Eq. (17a) associated with EPV.

In Netbuilder a sigma-pi formalism is implemented as an approximation to the solution of a set of Ordinary Differential Equations that models enzyme-substrate reactions, allowing the acquisition of data typical of signals measured in molecular biology.

Following the nomenclature of the singular perturbation theory, we define the degenerate (DG) system and the boundary-layer (BL) system and obtain the solution of the sampled-data system as an approximation of the solutions of the lower-order subsystems.

By Theorem 3.1, with the following limit BSDE: Y t = ξ + ∫ t T f ¯ ( s, Y s, α ¯ s ) d s − ∫ t T Z s d B ¯ s, where f ¯ ( t, y, 1 ) = ( 2 / 3 ) f ( t, y, s 1 ) + ( 1 / 3 ) f ( t, y, s 2 ) and f ¯ ( t, y, 2 ) = f ( t, y, s 3 ), thus we can use the distribution property of its solution as an approximation for the property of the solution to the original BSDE (10).

The newly proposed HOC exponential FD schemes have nonoscillation property and yield high accuracy approximation solution as well as are suitable for convection-dominated problems.

end{aligned} (13) Now, as (nrightarrowinfty), we consider (u_{n}) as an approximation of the exact solution.