Sentence examples for order of expansion from inspiring English sources

It is significantly more accurate than FMM for a given order of expansion.

end{aligned} (12) By using the first order of expansion, we obtain linear natural frequency values and by using the second order of expansion, we obtain a solvability condition.

These included the order of expansion for LINCS-based constraints and the order of interpolation for Particle-Mesh Ewald.

To this order of expansion, the likelihood is exp ( − ( r − r max ) D ( r − r max ) / 2 ).

The normalization is carried out up to the 6th order of expansion of the Hamiltonian in the coordinates and momenta.

Good agreements with 3D solution for several order of expansion are reached, but instabilities are shown for some particular order of expansion even when an exact through the thickness integration technique was adopted.

Different thickness ratios and orders of expansion for the displacement field are analyzed.

Refined beam elements with different orders of expansion over the cross-sectional plane are then employed along different beam-lines.

Orders of expansion ranging from 4 to 14 were tested, with significant gains observed in the value of the Rand index, as the order increases.

Carrera's Unified Formulation is applied to obtain several refined models with orders of expansion in the thickness direction, from linear to fourth-order, for displacements and temperature.

The proposed scheme is shown to be computationally efficient compared to employing homogeneously high orders of expansion everywhere in the domain.