Sentence examples for using the numerical integration from inspiring English sources

Then, using the numerical integration, we obtain the corresponding permanent lunar capture orbit and the minimum ΔV of the transfer.

However, we now can readily evaluate the performance of the considered relay network by simply using the numerical integration method as in [17].

With the help of bifurcation diagrams, phase plane diagrams, Poincaré maps, time domain response diagrams and amplitude-frequency spectrums, the effects of the pinion speed and stiffness on the dynamic behavior of gear transmission system for locomotive are investigated in detail by using the numerical integration method.

The integration required can be carried out using the numerical integration function N Integrate in Mathematica or similar software.

Each simulation was run in 4000 minutes using the numerical integration program XPP and integration method QualRk.

The number of elastic co-ordinates used to describe flexibility and the time step used in the numerical integration essentially influence the dynamic simulation of the impact process.

Newmark-β method is used for the numerical integration of Eq. (3).

The node-depending background mesh used in the numerical integration of the NNRPIM interpolation functions is entirely created from the unstructured nodal arrangement.

For a detailed description of the method used for the numerical integration and for calculation of confidence intervals see Lambert et al[ 14].

The predicted relative survival estimates and excess mortality rates from the second non-proportional hazards model, described last in the previous section, were used in the numerical integration.

Periodic boundary conditions were applied, and a time step of 2 fs was used for the numerical integration of the equations of motion.