Sentence examples for by using numerical approach from inspiring English sources

Based on the averaged equations, the steady-state nonlinear responses and their stabilities are determined by using numerical approach.

By using numerical and analytical approaches we examine how the width of a melt-brush interpenetration zone depends on the surfactant architecture.

The proposed optimal algorithm is validated by using numerical studies, which shows the approach can reduce the levelized cost and improve the optimization performance in comparison with the existing methods.

The proposed optimal algorithm is validated by using numerical studies, which shows that the proposed approach can deal with the multiple uncertainties and improve the design performance in comparison with the existing.

After confirming the accuracy of the results by comparing the authentic definite integral method and the numerical analytical approach, we performed these calculations by using numerical analysis with 1 mm Hg intervals.

2. To depict only by using numerical values that appear in a calculation process.

This research investigates nano-indentation processes with the existence of water molecules by using the numerical approach of MD simulation.

Multi-frequency vortex-induced vibration of flexible riser in lineally sheared fluid fields with different shearing parameters is explored by using the numerical approach.

Component design was optimized by using FE numerical approaches, according to the general guidelines derived from mathematical modeling of sensor dynamics.

These bounds can also be quantified by using the numerical approaches developed in [20] and [21] and extended for the normalized Laplacian matrix in [22] and in [23].

We have validated the approach using numerical simulations, with phantom experiments and ex vivo in mice, against ex vivo measurements by an optical microscope.