The resulting algorithm preserves the stability of the employed implicit formula and thus it has strong stability properties, e.g. it is not affected by the Courant condition or by physical stiffness such as that associated with the critical conditions of interfacial deformation.
WHO and FDA recommend to use water close to boiling point, but other scientific organizations, such as the ESPGHAN Committee on Nutrition and the American Dietetic Association do not, because of possible adverse effects on physical stability and nutrient content of the formula [ 26].
The method is performed in such a way that not only the stability region of the embedded formula can be widened, but by allowing the usage of larger time step sizes, the total computational costs can also be reduced.
In view of the formula stability, in the following research, dimethylformamide was chosen as the reduction agent.
As a main result it is shown that Möbius transformations defined by unimodular matrices preserves the internal stability of the loop and an explicit formula is also given that relates the two loops.
The fact that low levels of Hox proteins are saturating could confer great robustness to the system consistent with the extreme stability of intraspecific vertebral formula.
We improved the stability of the Horiuchi-Coale and Mitra formulas by using the population growth rates averaged over 10-year periods prior to the estimation year.
The stability of the algorithm comes from the exact formula.
With this formula, the stability of the grain structure of a thin film can be assessed for given conditions.
In this section, we shall derive the formulas determining direction and stability of the Hopf bifurcation under the case (tau_{1}in 0, tau_{10})) and (tau _{2}>0) by using the normal form theory and the center manifold theorem.
