Sentence examples for for the numerics from inspiring English sources

Specificities of these membranes propose new challenges for the numerics.

In preparation for the numerics we scale the 3d Gross Pitaevskii equation and obtain a four-parameter model.

Note that this model is only valid near the middle of the device and this x 0 value is the initial position away from equilibrium for the trajectory in this asymptotic regime where x 0<1/2 and (dot {x} = 0) when x=x 0; it is not necessarily the same as the x 0 value in the initializations for the numerics.

The computational challenges associated with complex flow physics and nonlinear behaviour of the numerics are discussed.

The lack of circles comes from the incompatibility of the boundary condition a ( 0 ) = − 1 and the viscous limit a = q 2 = 3 that causes boundary layers and finally the break-down of the numerics.

This paper gives a short overview of the underlying physical and mathematical concepts and elaborates on the strengths and weaknesses of the numerics.

It appears today mandatory to assess their robustness with respect to the details of the numerics, and in particular to the treatment of turbulent sub-grid scales.

Based on the eddy-damped quasi-normal Markovian (EDQNM) theory, a stochastic model is developed in order to predict the time evolution of the kinetic energy spectrum obtained by a large-eddy simulation (LES), including the effects of the numerics.

The results of the numerics reproduce well the decreasing dynamics of CD4+ after the appearance of X4 strains and make the model suitable for further investigations on antiretroviral therapies and their effects on disease progression.

For the cases where the other parameters are O(1), we have compared our analysis with the numerics for several cases.

We give background material, develop a theoretical foundation for the basic numerics, and give some results not previously published.