Sentence examples for validity of these solutions from inspiring English sources

A numerical verification of the validity of these solutions is provided below.

The experimental results and computer simulations verified the validity of these solutions.

Finally, all solutions are validated using the commercial finite element software ABAQUS, with attention to non-linear behavior and the range of validity of these solutions.

The validity of these solutions during continuous heating and cooling is then checked against more exact numerical calculations based on the control volume approach.

Experimental tests were performed to verify the validity of the solutions.

The uniform validity of the solutions is proved by using the maximum principle in Section 3.

Furthermore, the uniform validity of the solutions is proved by using the maximum principle.

Further, how to check the uniqueness and the validity of the solutions is also derived.

To analyze the validity of the solutions we find, we thus check whether they fulfill this property.

The crystallization process is divided into time frames according to the validity of the solutions for the volume of intersection.

Six different cases were designed to test this system and the validity of the solutions was checked by using a non-linear model of the vehicles.