Sentence examples for for explicit method from inspiring English sources

It means that the stability of the solution is depends on the size of grid for explicit method.

On one hand this results in very harsh time step restrictions for explicit methods due to the CFL criterion.

The current paper deals with the incorporation of advection terms for the explicit method, thus aiming at the implicit explicit RKC integration of advection diffusion reaction equations in a manner that advection and diffusion terms are treated simultaneously and explicitly and the highly stiff reaction terms implicitly.

In particular, the stability analysis shows that for a given value of the stride (Δt 1, there is an optimum value of the small time step for which the computational speed is the fastest (N is a minimum), being this speed significantly larger than the corresponding one for an explicit method using (Δt c only.

Hence, R z) is a polynomial of at most degree s for any explicit method.

To address the lack of explicit methods for item generation and reduction, this paper presents a 5-step methodology for the pre-validation stages of PRO instrument development (i.e. item generation, item reduction and question formatting).

This means that it contains a range of different timescales; while we are interested in the process at the slowest timescale, the fastest time scale may control the numerical stability of explicit methods for solving this system of ordinary differential equations.

A version of this explicit scheme for rotationally symmetric structures is free from the progressive time step reducing for higher order azimuthal modes as it takes place for Yee's explicit method used in the most popular electrodynamics codes.

Our implementation is based on the finite difference method for the spatial discretization and the explicit method for the time evolution with an upwind scheme for the convective term of the equations.

The predictions are verified by the predicted results from the explicit/implicit method for laser peening (LP) and the pure explicit method for laser peen forming (LPF) and are also validated by the experimental results of a single LP surface treatment of Ti6Al4V and a LPF bending of 1060 pure aluminum plates.

A new explicit method for the discretization of nonlinear continuous-time systems is presented.