Sentence examples for the multiple scales from inspiring English sources

Using the multiple scales (MS) method [A.

Then, the multiple scales method (a perturbation method) is applied to obtain the appropriate solutions.

The analysis of basic phenomena is performed using the multiple scales method.

The multiple scales method and the continuation technique are used to analyze the system dynamics.

The multiple scales series for the solitary wave in powers of ε is asymptotic but divergent.

Thus, the parametric instability of the same system is studied utilizing the multiple scales method.

Accordingly, the perturbation solution by applying the multiple scale method contains three time scales.

The multiple scale results are further compared to benchmark MD simulations for verification purposes.

The theoretical results are obtained to second order approximations applying the multiple scale perturbation technique (MSPT).

Stability diagrams of the first and the second order approximate solutions are obtained by using the multiple scale perturbation method.

Employing the Multiple Scale Method, a second order bifurcation equation in the complex amplitude of motion is obtained.