Sentence examples for example to numerically from inspiring English sources

Such a splitting scheme has been employed, for example, to numerically solve the Vlasov Poisson equations (see e.g.  [2,3]) or the Davey Stewartson equation (see e.g.  [4]).

The objective of these examples is to numerically verify the theoretical expressions obtained there.

A bench test example is provided to numerically demonstrate the efficacy of the scheme and illustrate the application procedure for potential readers/users with interest in their ad hoc applications and methodology expansion.

Finally, in Section 4, an example is given to numerically simulate our conclusion.

These examples demonstrate that this model is able to numerically simulate the CO2 storage relevant geological systems.

For more information, see Example 3 and Appendix A. To numerically facilitate analysis of inheritance and phenotype-genotype dependence one may introduce a score function.

Various examples are also carried out to numerically demonstrate stability and optimal convergence of the proposed methods.

Using the formulations (2.4), (2.5), (2.6) and (2.7), we now use the idea in Proposition 2.3 to numerically produce examples of closed magnetic geodesics.

From the fall of Rome to the Teutonic barbarians to the defeat of the British Empire by American revolutionaries, the historical record is replete with examples of supposedly mightier nations succumbing to numerically and economically inferior opponents on the battlefield.

This is an instrument designed to numerically define the overall impact of FM across many dimensions (for example, function, pain level, fatigue, sleep disturbance, and psychological distress) [ 12].

"But that doesn't really cut it when you have to numerically line up budget items".