Sentence examples for approximation was utilized from inspiring English sources

In the simulation, the solution was assumed to be incompressible and Newtonian, and Boussinesq approximation was utilized.

A Boussinesq approximation was utilized to model the buoyancy-driven flow.

A Morse oscillator model was used to represent covalent bonding in the conjugate gradients minimization step, while a harmonic oscillator approximation was utilized for the steepest descents protocol.

Furthermore, the complex step derivative approximation is utilized to yield better sensitivities for the aggregated constraint functions with high nonlinearity.

Next, to adapt the optimal controller to any initial condition, the Moving Least Squares (MLS) approximation is utilized.

The adaptive random search algorithm and its modification coupled with penalty function′s approach, and the finite difference methods with cubic spline approximation are utilized by "OPT-PROx" package (http://tomakechoice.com/optprox/index.html).html

The well-known narrow beam approximation is utilized to compute backscattering [12].

Multiple imputation particle filter (MIPF) has been introduced in [122] where particle approximation is utilized to perform multiple imputation.

In deriving Eq. (2), the Born approximation is utilized [ 12].

The Born approximation is utilized in our work, limiting our method to be validated with relatively small perturbations.

The long wavelength, creeping (low Reynolds number) and Debye Hückel linearization approximations are utilized.