Sentence examples for by utilizing numerical methods from inspiring English sources

By utilizing numerical methods, the study develops a consequence-based framework incorporating the effects, the hazardous distance and the reaction time scale, related to fuel spill and fire scenarios with smoke spreading.

The device was designed utilizing numerical methods based on a rigorous coupled-wave analysis.

Thus, the researchers utilize numerical methods usually for obtaining an approximation of the exact solutions.

The simulations were performed using Ansoft HFSS and CST Microwave Studio, which utilize numerical methods for electromagnetic computations.

A new concentrator design method was proposed that can be easily integrated into a standard vehicle design procedure by utilizing numerical optimization in a CAD-friendly environment.

Remaining option is to utilize numerical computation methods.

We conclude this manuscript by saying that, utilizing the numerical methods, one can obtain approximations of the unknown exact solution.

Sufficient robustness is necessary for effectively utilizing these numerical methods in engineering and science applications.

In order to perform this analysis, alphabetic amino acid data was transformed into numerical values by utilizing five numerical indices (factor scores).

The numerical method is demonstrated by utilizing the method to model the carbon oxidation and weight loss behavior of C/SiC specimens during thermogravimetric experiments.

The numerical identification of linearized system by utilizing input output numerical data is highly versatile.