Sentence examples for by using a numerical from inspiring English sources

The dynamic responses and failure modes of reinforced concrete bridge columns under vehicle collision have been numerically investigated in this study by using a numerical model verified against some experimental testing data.

The proposed method is validated by using a numerical example.

The investigation is performed by using a numerical solution approach.

The equations were solved by using a numerical technique known as implicit method.

Finally, the effectiveness of the proposed method is illustrated by using a numerical example.

The adsorption-desorption process in a chromatographic column is simulated by using a numerical method.

Moreover, the two responses were simultaneously studied by using a numerical optimization methodology.

This was done by using a numerical code developed for the study of comet nuclei.

The coupled system is solved by using a simple numerical scheme based on finite differences.

This investigation focuses on the multiobjective optimization of a crash box subjected to static loading by using a validated numerical model and an analytical approach.

By considering traction free conditions on the surface of the small crack, the problem is then reduced to a group of singular integral equations which are solved by using a special numerical technique.