Sentence examples for for stable solutions from inspiring English sources

These Runge Kutta methods optimize the time step necessary for stable solutions, while holding dispersion and dissipation fixed.

The unique and important nonexistence result for stable solutions of the non-homogeneous second-order equation (1.1) has been recently obtained in [13].

Also, in [13] several Liouville-type theorems are presented for stable solutions, where (f>0) is a general convex, nondecreasing function.

We prove a geometric formula of Poincaré-type for stable solutions, from which we derive a symmetry result in the spirit of a conjecture of De Giorgi.

We then apply this to establish a geometric Poincaré inequality for stable solutions of the above system for general vector fields X and Y.

Note that the axial oscillation has no dependence on the magnetic field and for stable solutions we require that ( omega _{c} geq sqrt {2} omega _{z} ), ω c being the cyclotron frequency.

3.1 corresponds to the case B = 6, but we would like to know the effect of varying B on the range of values of h for which stable solutions exist (see Fig. 4).

The larger in diameter reflects that the voltage threshold must be exceeded for the formation of stable solution jet.

For accurate and stable solutions, we introduce predictors, an explicit two-step method and the implicit Euler method, to obtain provisional velocity and position of fluid structure interface at each time step, respectively.

We obtain monotonicity properties for minima and stable solutions of general energy functionals of the type∫F(∇u,u,x dx under the assumption that a certain integral grows at most quadratically at infinity.

We also report, PID controller tuning rules for the robust stable solutions using the test-bench processes while also providing computational complexity analysis of the algorithm and carry out hypothesis testing for the distribution of sampled data-points for different classes of process dynamics and non-dominant pole types.