Sentence examples for by the numerical scheme from inspiring English sources

Well-known wave-modes in magnetized plasmas are shown to be reproduced by the numerical scheme.

The smallest wave resolved by the numerical scheme is deemed the effective resolution.

For ideal gas and stiffened gas equations of state, real values of the phasic speeds of sound are also proven to be maintained by the numerical scheme.

In EULAG the sub-grid scales are treated implicitly by the numerical scheme, while in ASH their effect is generally modeled by using enhanced dissipation coefficients.

The optimisation principles are: (1) that the column holdup (area above the breakthrough curve normalised by the column length) is maintained; and (2) that the truncation error produced by the numerical scheme is minimised.

Practical recommendations on the spatial resolution required by the numerical scheme for a given set of non-dimensional similarity parameters are provided, and a comparison to asymptotic results available in limiting cases confirms that the code is converging to the correct solution.

By using the numerical scheme outlined in the previous section, we have numerically solved Eq. (17) and evaluated the electron mobility in monolayer graphene.

It ensures that the magnetic field evolves in a divergence-free fashion; and that same property is shared by the numerical schemes presented here.

This indicates that, in practical calculations using an eddy-break-up-like model, the propagation characteristics of the calculated mean reacting zones can be significantly affected by the accuracy of the numerical scheme, as well as by the treatment of the boundary conditions.

The advantage of the proposed algorithm is that the mesh topology of the 2D garment pattern is preserved and thus simplifies the numerical scheme by maintaining the consistency of the matrix equation.

We validate the numerical scheme by considering a moving piston problem in 1D and the Einstein relation for Brownian motion of the suspended particle in 3D.