Sentence examples similar to consistent with first-order approximations from inspiring English sources

This part is dedicated to numerical calculation results obtained with first-order approximation.

We will begin with second-order approximation schemes for (-Delta u).

An extension of Newton's method is also given and proved to solve Euler equation with second-order approximation data.

We also provide an extension of Newton's method to solve an Euler equation with second-order approximation data.

This insensitivity to concentration is consistent with first-order behaviour.

These are reasonable first-order approximations but only with much more data can these assumptions be validated.

While first-order approximation is largely inadequate, second-order approximation is sufficient for the model systems studied.

First, in construction of the schemes, in contrast to traditional first-order approximations, asymmetric second-order accurate spatial approximations are devised for flux-limiters on boundary, and discrete schemes with second-order accuracy on global spatial domain are acquired consequently.

Dotted lines are the first-order approximations.

Both studies, however, were first-order approximations, because the (second-order) effect of mislocated fixations on fixation probabilities was neglected.

Since dissimilar PFMs do not strongly overlap, the corresponding first-order approximations yield more accurate results.