Sentence examples for using a numerical approximation from inspiring English sources

Here, we have done this using a numerical approximation to obtain the basis function point by point.

Due to a marginally significant decline in probability of reproduction among the largest trees in the sample, a second-order term was included in the model, and the inflection point calculated using a numerical approximation with 95% confidence limits generated by bootstrapping (500 simulations).

Instead, we use a numerical approximation based on the linearization of the vector field.

Seddeek [[15]] evaluated the effects of radiation and variable viscosity on hydromagnetic convection flow with an aligned magnetic field using a numerical method and a flux approximation for radiation.

In previous work, the Fokker-Planck equation was solved either analytically by using approximations, or by using a numerical approach together with simple models for the pitch-angle scattering coefficient.

An analytical solution is developed for the dimensional changes of idealized tubes subjected to internal pressure, and the analytical solutions used to verify the results from a numerical approximation.

The finite element method is used to discretize the model and obtain a numerical approximation of equilibrium equations.

The finite element method is used to discretize the model and obtain a numerical approximation of the equation of motion.

Using the transmittance data other optical quantities were obtained by a numerical approximation method.

In the general case, AGQ is a numerical approximation to the integral over the whole support of the likelihood using Q quadrature points adapted to the data [ 15].

Let (v_{Delta t}) denote a numerical approximation of v.