Sentence examples for by linear stability analysis from inspiring English sources

Analytical and computational results (obtained by linear stability analysis and by integration of the equations of motion, respectively) are compared with experimental findings.

It is shown by linear stability analysis and non-linear simulations that the collision term makes the TFM unconditionally well-posed and stable in a non-linear sense.

The onset of convection for evaporative-cooling can be predicted from the maximum transient Ma whose values are the same as those previously obtained by linear stability analysis for Biot number=0.

The integration scheme requires the material-based limiters to correctly model wave reflection and transmission at a material interface and to enable the numerical solution to be advanced at the maximum timestep prescribed by linear stability analysis.

The onset of convection can be predicted from the maximum transient Ra whose values are the same as those previously obtained by linear stability analysis for the same boundary conditions.

The steady-state value corresponding to the wavelength expected by linear stability analysis further indicates an accurate converged value.

Furthermore, the conditions for the emergence of temperature waves are found out by the linear stability analysis and verified by a diagram for successive steps of evolution of spatial profile of temperature during a period that is plotted by numerical simulations on a computer.

The stability limits predicted by the linear stability analysis for infinitesimal disturbances were validated by the nonlinear stability analysis for finite-amplitude disturbances.

Recent computer simulations of single-ring systems have shown that the threshold for stability, as determined by a linear stability analysis, matches precisely the stability threshold predicted by simulation.

Also, the growth rate and frequency of oscillation predicted by the linear stability analysis were found to agree with those predicted by the nonlinear stability analysis for the initial growth of the disturbances.

Especially by using linear stability analysis, the condition for the quenching phenomenon is derived.