Sentence examples for approximation was introduced from inspiring English sources

The discrete WKB approximation was introduced and developed in [4 8].

A special source term approximation is introduced so that the proposed methods can preserve the still water steady state exactly.

A Moving Least Squares (MLS) response surface approximation is introduced here for reduction of this computational burden.

In this work, a method to directly design two-dimensional pulses using the small-tip angle approximation is introduced based on a direct matrix representation.

After their construction where their accuracy is improved through a regularization process, a localization of these operators and a full finite element approximation is introduced.

Furthermore, the basic ideas of the numerical approximation are introduced and the extended hyperbolic system is treated numerically within the framework of high-resolution finite-volume schemes.

Furthermore, a second-order approximation is introduced, which shows the dependence of kt on not only the slope but also on the concavity of the surface.

For the equations of motion, a dimensional reduction with arbitrary order of approximation is introduced afterwards and compared with existing lower-order formulations from the literature.

After this is done, a further high-order approximation is introduced, leading to a problem posed in the rotating frame of reference and in spatial coordinates.

As a further extension to the analysis, the second-order Rayleigh's small-damping approximation is introduced into the complex modes framework, in order to obtain an accurate global estimation of the damping distribution.

The non-Boussinesq approximation is introduced into the integral boundary layer equations governing the system to describe the velocity and temperature distributions of the coolant in the cooling channels.