Sentence examples for order expansion from inspiring English sources

It is observed that the first order expansion suffices to yield accurate results.

In both cases, the second order expansion is sufficient to model the uncertainties in growth rate.

For sufficiently "weak" coupling, a low order expansion in powers ofĜ0Vprovides the solution according to Rayleigh Schrödinger perturbation theory.

The method of multiple scales is used to determine a fourth order expansion of the galloping amplitude of cantilever beams.

However, its main challenges are the poor robustness against impulsive noise, slow convergence and high computational complexity for long memory high order expansion on each module.

Since nth order expansion is employed for this purpose, the probabilistic moments of the solution can be determined with a priori given accuracy.

In the thickness direction, a fourth-order expansion in each layer is considered.

A fourth-order expansion with respect to the thickness direction are considered.

A second and fourth-order expansion with respect to the thickness are considered.

We consider the construction of optimal cross-over designs for nonlinear mixed effect models based on the first-order expansion.

We present a construction procedure for high-order expansion bases for structured finite elements specific for the operator under consideration.