Sentence examples for order of the scheme from inspiring English sources

Some properties are proved as the order of the scheme and the stability.

It indicates that the convergence order of the scheme is (mathcal{O} tau^{2} + h^{4})).

We solve three test problems in order to validate the numerical order of the scheme.

However, for the determined order of the scheme to be meaningful, sufficiently fine grids must be used for these studies.

If the order is unknown, then the order of the scheme may be determined from grid refinement studies.

The latter is independent of the order of the scheme and the spatial order of the underlying differential equations.

Explicit specifications of first, second and third order schemes are given and the accuracy and order of the schemes are verified using known analytical solutions.

The order of the schemes ranges from first-order at the lowest, to the global spectral collocation method at the highest.

On the other hand, increasing the order of the schemes does not necessarily improve the accuracy of the discrete dispersion relationship in the case of Rossby waves.

Table 2 shows that the computational and the theoretical orders of the scheme are very close to each other.

In order to illustrate the theoretical results derived in the previous section, we have constructed model problems and run the collocation code bvpsuitebvpsuite on coherently refined meshes to compare the empirically estimated convergence orders of the scheme with the theoretically predicted ones.