Sentence examples for by numerical integration using from inspiring English sources

Analytical results are compared with those obtained by numerical integration using the classical Runge Kutta method.

With this high-fidelity thrust model, the relative state is then propagated to the next arc by numerical integration using a complete Solar System model.

The second part exhibits no singularities, and its time-domain counterpart is obtained by numerical integration using a Fast Fourier Transform routine.

The NLMIXED procedure calculates the likelihood function by numerical integration, using adaptive Gaussian quadrature.

For ease of reference, we have computed the values of ξ(n) by numerical integration using the computer in Table 1 for n up to 50.

The area under each ROC curve was computed as a gauge of the performance of the diagnostic test, by numerical integration using 10000 intervals of equal width.

Optimization of permeability values was accomplished by numerical integrations using the mathematical model implemented in the Berkeley Madonna software (http://www.berkeleymadonna.com/).

The equations developed here are verified by numerical integrations, using the restricted problem of three bodies, showing an agreement better than 1%.

The accuracy of the parameter estimates is refined by iteratively increasing the accuracy of numerical integration using the model structure.

Numerical integration using Mathematica is slow, so I use Gaussian quadrature method instead.

For this purpose the CSP step involves numerical integration using the LSODA solver [ 18].