Sentence examples for order of scheme from inspiring English sources

Furthermore, the order of scheme (2.7)–(2.9) is improved to (mathcal{O} tau^{4} + h^{4})) by applying Richardson extrapolation.

The numerical errors with different methods are shown in Figs. 7 and 8. Again, the numerical results indicate that the convergence order of scheme (2.7)–(2.9) is (mathcal{O} tau^{2} + h^{4})) and the convergence order of the scheme with Richardson extrapolation is (mathcal{O} tau^{4} + h^{4})).

As the order of modulation scheme is increased, the reduction of transmission time has dominant effect causing higher order modulation schemes to exhibit lower energy consumption as compared to that incurred when lower order modulation schemes are used.

While the overall order of the scheme will remain second-order, the higher accuracy of the spatial discretisation usually reduces the diffusion of the scheme and improves accuracy of the solution [see, e.g., Porth et al. (2014)].

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.

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

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

We present results from several test calculations in order to validate the numerical order of our scheme.

Two different adaptation mechanisms are studied: grid adaptation and local variation of the order of the scheme.