Sentence examples for approximation was utilized to from inspiring English sources

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

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

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.

The mean vorticity equation is approximated by a compact difference scheme due to the difficulty of the mean vorticity boundary condition, while fourth-order long-stencil approximations are utilized to deal with transport type equations for computational convenience.

Discrete dipole approximation (DDA) method was utilized to simulate optical properties (extinction spectra and normalized electric field distribution) of multilayer graphene shell encapsulated gold nanoparticles (GNPs) and their heterostructures with carbon nanotube (CNT).

The non-dominated sorting genetic algorithm II (NSGA-II) was utilized to optimize the thickness of the steel plates based on the approximation model.

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

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.

No information regarding either the robot dynamic model or the force deformation model is required and no approximation structures are utilized to estimate them.

In this work, motivated and inspired by the above results, an iterative scheme based on the viscosity approximation method is utilized to find a common element of the set of common fixed points of a countable family of nonexpansive mappings.