Sentence examples for by numerical examples considering from inspiring English sources

We demonstrate the proposed algorithms by numerical examples considering long time integration.

As demonstrated by numerical examples considering the fragility of electrical substation equipment, the improved formulation can lead to significantly different fragility estimates than those obtained with the conventional assumption of statistical independence among the empirical observations.

The theoretical results are illustrated by numerical examples that consider both noisy and noise-free measurements and a comparison with a high-gain observer is included.

The results are validated by numerical examples.

The application is illustrated by numerical examples.

The proposal is illustrated by numerical examples.

Theoretical considerations are supported by numerical examples.

The discussions are illustrated by numerical examples.

The method is illustrated by numerical examples.

The analysis is confirmed by numerical examples.

The feasibility of proposed method is validated by numerical examples.