Sentence examples for by using numerical approximation from inspiring English sources

When solving acoustic field equations by using numerical approximation technique, absorbing boundary conditions (ABCs) are widely used to truncate the simulation to a finite space.

In most applications, the derivatives d i ( i = 1, 2, …, n ) are not given, and hence they must be calculated either from the given data or by using numerical approximation methods [24].

A 465 mm standing wave thermo-acoustic refrigerator was designed using numerical approximation provided by a modeling code called DELTAEC Design Environmentt for Low-amplitude Thermo-Acoustic Energy Conversion).

However, this dispersal is not completely mass-conservative when using numerical approximations.

This says that by using numerical methods, one can obtain approximations of the unknown exact solution.

The floating ring bearings widely used in high-speed applications are usually incorporated in rotordynamic algorithms under short bearing approximation or by using numerical solutions.

2. To depict only by using numerical values that appear in a calculation process.

All these approximations were validated using numerical simulations.

Then by the paraxial approximation, Eq. (2) is reduced to Eq. (3); finally, an approximate digital image is calculated using numerical integration.

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).

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