Sentence examples for higher order regularity from inspiring English sources

This approach gives the flexibility to achieve easily and at low cost higher order regularity for the approximation of the flux function in the domain covered by the plasma, while preserving accurate meshing of the geometric details outside this region.

Now we turn to the higher order regularity of the velocity field.

Applying the Schauder estimates from Theorem 1.4 one obtains higher order regularity, uniformly in (epsilon rightarrow 0 ) and so in particular we obtain smoothness of solutions in the case (epsilon =0).

A probabilistic model of visual working memory: incorporating higher order regularities into working memory capacity estimates.

In this section, we derive the higher-order regularity estimates of the solutions.

Similar to Theorem 2 in [8], we can obtain a higher-order regularity of the local solution to (1.2) as follows.

In order to get the higher-order regularity estimates of the solution, we need to bound (P_{mm}), (P_{mn}), (P_{nn}), (P_{mmm}), (P_{mmn}), (P_{mnn}), and (P_{nnn}).

Finally, we give the proof of the high-order regularity estimates of ((m,n,u)), which is due to [22 24, 30] for the single-fluid Navier-Stokes equations.

Our clickstream data lends itself well to tracing higher-order regularities in usage behavior.

This suggests that higher visual areas are recruited if high-order regularities can be extracted from stimuli (i.e., objects vs. scrambled objects; meaningless objects vs. meaningful objects).

Compared with the latter paper by Grzegorczyk et al. [1], where only 2-regularity was studied, the results of the present paper allow one to study the regularity of higher order (4-regularity) and apply it for seeking approximative solutions of nonlinear boundary value problems.