Sentence examples for discrete scheme from inspiring English sources

With proper spatial discretization, the fully discrete scheme has improved stability, preserves positivity, and can be implemented without nonlinear solvers.

In this section, we set up a full-discretization scheme for problem (2 -(4) and consider the fully discrete scheme which implies the pointwise boundedness of the solution.

To preserve the stability of the fully discrete scheme, conform Galerkin finite element methods are employed for the spatial discretization.

Convergence results for the proposed discrete scheme are established under some conditions.

The resulting fully discrete scheme is uniformly convergent with respect to the diffusion parameter.

The proposed numerical procedures are based on a discrete scheme according to the finite element method.

The resulting stabilized semi-discrete scheme can be discretized in time using a wide variety of time integrators.

Unconditional stability and convergence of this semi-discrete scheme are established.

The resulting semi-discrete scheme is shown to be energy stable and consistent.

The properties of the semi-discrete scheme are verified and investigated using numerical experiments.

The method is applied to solve the fractional diffusion equation and a semi-discrete scheme is obtained.