Sentence examples for the order of the scheme from inspiring English sources

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

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.

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

The magnitude of ϵ, a parameter which keeps the weights bounded, and the level of grid resolution are shown to determine the order of the scheme in a non-trivial way.

To circumvent problems associated with completely arbitrary grids and complex geometries we propose to use a multi-domain formulation in which to solve the partial differential equation, with the ability to adapt the grid as well as the order of the scheme within each subdomain.

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.

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

We further show that the order of the reconstruction scheme becomes increasingly important for coarsening the mesh.

The accuracy depends on two parameters: the order of the iterative scheme and the ratio of the random backscattering intensity over the random forward-scattering intensity.

The method also does not degrade substantially the order of the overall scheme despite the extra constraints of monotonicity and conservation.