Sentence examples for provided to verify from inspiring English sources

Simulation results are provided to verify all conclusions above.

Numerical examples are provided to verify the theoretical results.

A numerical example is provided to verify the theoretical results.

Finally, an example is provided to verify our results.

Finally, simulation results are provided to verify these analytical results.

Numerical examples are provided to verify the theoretical findings.

Numerical examples are provided to verify the equivalent fluid model.

Several test cases are provided to verify the numerical scheme.

Several simulation examples are provided to verify the theoretical results.

Finally, simulation studies are provided to verify the theoretical results.

Illustrative examples are provided to verify the theoretical results.