Sentence examples for steep solutions from inspiring English sources

A coordinate transformation approach is described that enables pseudospectral methods to be applied efficiently to unsteady differential problems with steep solutions.

Nonetheless, flatter quasispecies retain a high maximum replication rate, comparable to that of steep solutions (in contrast to Elena et al. 2007), whereas the average replication rate is even higher (in table 1 the average replication rate is calculated taking into account only units of replication, and not nonviable individuals).

In a stochastic context, this behavior translates to steep solution gradients developing in the parametric space.

For solving hyperbolic systems with stiff sources or relaxation terms, time stepping methods should combine favorable monotonicity properties for shocks and steep solution gradients with good stability properties for stiff terms.

The SO2 concentration is 600 ppm for the soaking solution compared with 2000 ppm for the conventional steeping solution.

It is demonstrated that the oscillation-free steep gradients solutions obtained without using smoothing techniques can provide considerable increase of accuracy even when exploiting coarse meshes.

Steepest descent solutions are shown (as expected) to be highly sensitive to the initial guess, but they provide symmetrical and conceptually clean solutions.

Then it is shown that the convergence properties of the triangle-SEM compare well with those of the classical SEM, by solving an elliptic equation with smooth (but steep) analytical solution.

The method, which does not give rise to ill-conditioned series of differential equations, offers rapid convergence to the steady state and is especially well suited to systems of equations displaying steep moving solution fronts.

A shallow gradient to 50% solution E followed by a steep gradient to 100% solution E was used to collect fractions.

This paper proposes a method of lines solution procedure with time and space adaptation for one-dimensional systems of partial differential equations whose solutions display steep moving fronts.