Sentence examples for used in numerical algorithms from inspiring English sources

Additionally, as discussed for the particular case of modified Bessel functions [1], the bounds are useful for accelerating the convergence of certain continued fraction representations which are used in numerical algorithms; for instance, the algorithms in [6, 7] could be improved by using the bounds of Sections 4.1.2 and 4.1.3 for accelerating the convergence.

A heterogeneous reaction mechanism was developed to account for the observed rates of O2 adsorption, CO and CO2 desorption, and surface-oxide accumulation and was used in a numerical algorithm that modeled the PTGA reaction environment.

Our numerical results are in good agreement with those obtained in previous work using different numerical algorithms.

The explicit scheme was used in the algorithm of numerical calculation in time domain.

The model fit and significance tests are performed using numerical algorithms implemented in a QTL mapping software.

In the paper special attention is put on numerical simulations of interatomic behavior, which are widely used in multiscale algorithms.

We develop for polyatomic gases all the essential techniques needed in the NRxx method, including the efficient projection algorithm used in the numerical flux calculation, the regularization based on the Maxwellian iteration and the order of magnitude method, and the linearization of the regularization term for convenient numerical implementation.

However, in order to achieve better numerical results, the non-monotone line search technique has been used in the numerical computations of some smoothing-type algorithms.

In our numerical experiments, the parameters used in the algorithm are chosen as follows: σ = 0.06, δ = 0.3, μ 0 = 1, γ = 0.01 min { 1, 1 / ∥ H ( z 0 ) ∥ }.

Using a numerical algorithm, we can figure out the value of x in equation (25).

Therefore, computing the loss distribution requires using a numerical algorithm.