Sentence examples for by numerically solving the from inspiring English sources

In such cases equilibria can only be determined either by numerically solving the equations by some numerical approximation method, or by observing the behaviour of the model in simulation experiments.

The dynamic factor is obtained by numerically solving the equation.

The response is obtained by numerically solving the governing equations of motion.

It describes the diffusive transport of fission products by numerically solving the diffusion equation.

By utilizing the model, 's dominant transmission power is determined by numerically solving the optimization problem: (6).

For TM polarization, the mode distribution, the permittivity distribution, and dispersion relation were obtained by numerically solving the Maxwell equations.

The magnetization mechanisms of the Stoner-Wohlfarth and ECC structured grains were studied by numerically solving the LLG equation.

The thermal stresses and radial displacement are obtained by numerically solving the resulting equation.

By numerically solving the resulting equation, stress intensity factors near both crack tips are evaluated.

The resulting two analytical solutions are verified by numerically solving the governing equations more generally using a finite difference method.

Whilst these can be found in the literature they are generally calculated by numerically solving the characteristic equation.