Sentence examples for method exhibits numerical from inspiring English sources

However, the PIC method exhibits numerical instabilities that can render unphysical simulation results or even destroy the simulation.

A computational method for this formulation is described which has two principal advantages over approaches which track the entire free surface: (1) only the curve which describes the contact line is computed and (2) the resulting method exhibits only mild numerical stiffness, obviating the need for implicit timestepping.

What is more, the newly proposed method exhibits the general enhanced numerical stability and robustness properties of the entropy formulation.

Furthermore, in the non-relativistic regime, our numerical method exhibits uniform convergence in the small parameter δ, which is the ratio of the characteristic speed and the speed of light.

Numerical results also indicate the proposed probability method exhibits preferable advantage over the conventional design method merely using empirical safety coefficient.

Furthermore, based on several numerical tests, we conclude that the proposed method exhibits excellent performance for long-time stable simulations and allows for large temporal step sizes.

In numerical experiments, it is shown that the new method exhibits enhanced stability when the temperature fluctuation is large.

The analytical approach, based on a perturbation method, exhibits excellent agreement for the mechanical response when compared to results from numerical continuation for moderately large displacements.

We perform numerical tests of convergence of the single particle method and show that at least in simple cases the method exhibits the exponential convergence typical of spectral methods.

The PCA method exhibits similar trends.

A comparison between the thermal properties obtained by the numerical model and the TPS method exhibited a relative error in the range of 2 10%.