Sentence examples for derived schemes from inspiring English sources

They also showed that the Courant number cab be increased by using the newly derived schemes.

We have also proved that both of our derived schemes preserve the discrete version of the global/local conservation laws.

Based on a novel local hydrostatic reconstruction, the derived schemes are well-balanced for any consistent numerical flux for the Euler equations.

Because of these properties the derived schemes are expected to be numerically stable and yield solutions converging to PDE solutions and sufficiently flexible to treat.

The derived schemes, which are fully mass conservative, naturally incorporate inflow boundary conditions into their formulations and do not need any artificial outflow boundary conditions.

They conducted comparisons between the newly derived schemes and conventional schemes that were discretized on square grids, and found that the numerical anisotropy can be significantly reduced by using triangular grids.

This is achieved by modifying the derived scheme from the normal condition using penalty functions.

Numerical results verify the optimality of the derived scheme and show throughput gains over traditional non-coordinated WF and EPA.

We also carefully display the corresponding theoretical analyses, such as stability and error estimate, for the derived scheme.

end{aligned} (34 For stability of the derived scheme, we must have begin{aligned} |xi |< 1 end{aligned} (35) (frac{A}{B}< 1).

A novel integer non-linear program formulation has been proposed to solve the problem optimally, where a computationally efficient equivalent integer linear program reformulation has been proposed to extend the applicability of the derived scheme even to large-size networks.