Sentence examples for method to examples from inspiring English sources

Results of the application of the method to examples are shown and compared with numerical results to demonstrate the validity of the technique.

To illustrate the step size h on the mean-square stability of the CSSθ method, we applied the CSSθ method to Examples 5.1 and 5.2.

We applied our method to examples taken from phenotype ontologies and provide an example ontology which is available from our project web site.

We have applied this numerical optimization method to example problems from the literature and report key observations.

In Table 1, the convergence of the exponential Euler method to Example 5.1 is described.

To show the strong convergence order of the CSSθ method, we apply the CSSθ method to Example 5.1.

Using similar method to Example 5.2, we also solve the flip bifurcation parameters γ 2 = 0.115 … and s 2 = 2.194 …  .

In Table 1, we can see that the exponential Euler method to Example 5.1 is convergent, suggesting that (2.3) is valid.

Finally we discuss several extensions of the model problem and apply the methods to examples of industrial applications like an arrester, a bushing, and an insulator with partial wetting in Section 6.

We apply these methods to examples based on actual studies, including the negative binomial distribution for hookworm egg counts, a potential vaccine trial endpoint, and the gamma distribution for concentrations of insecticide on bednets.

We apply the solution method to illustrative examples relevant to stiff magnetic fusion processes which challenge the efficiency of explicit methods.