Sentence examples for by applying linear stability from inspiring English sources

The spatial location of each cylinder is obtained by applying linear stability analysis to the 2D natural convection flow in the presence of the modelled porous media.

Following the work by Verdasca et al.[ 61], we applied linear stability analysis to the steady-state solutions of Eq. (26), leading to the pattern prediction diagram, shown in Figure 18.

The data was analysed by applying linear model methods [ 54].

LIMMA package for R programming environment was used by applying linear model methods [ 67].

A probability equation was developed by applying linear regression analysis on the total score.

The data will be analyzed by applying linear mixed effect models.

We can estimate PSAV by applying linear regression to PSA data.

Specific effects were tested by applying linear contrasts to the parameter estimates for each event.

By applying a linear stability analysis to these equations, regions are identified, for which the combustion mode becomes unstable, e.g. for which the hot solution changes rapidly to the cold solution and, thus leads to the extinction of the particle.

Furthermore, stability of these equilibrium solutions is determined by applying the linearized stability criterion.

Following the work by Steyn-Ross et al.[ 44], we applied a linear stability analysis (LSA) [ 59] by examining the sign of the real and imaginary parts of the dominant eigenvalue (wavenumber q dependent) σ q  =  α q) +  i ω q) derived from the Jacobian matrix at a steady-state.