Sentence examples for both analytic and numerical from inspiring English sources

There is an enormous literature devoted to this problem, including both analytic and numerical developments.

Both analytic and numerical solutions are also validated against a series of experimental tests.

Within this framework, we provide both analytic and numerical results characterizing when dynamic resizing does (and does not) provide benefits.

In this work the production target and its heating system are analysed by means of both analytic and numerical thermal electric models.

Both analytic and numerical simulations indicate that many of the volatilities suffered by existing soft-torque feedback approaches used to combat slip stick can be eliminated by the alternative proposed here.

For a monotonic electronic density profile we find a very small relative difference between the calculated and the virtual delay for both analytic and numerical 3D electronic density models.

The results of this study are expected to be useful for comparisons with both analytic and global numerical models of the magnetosheath magnetic field.

Using populations that move exclusively in the larval phase, exclusively as adults or both, we develop analytic and numerical results to assess the relative impact of each on persistence and harvest, and to identify the driving forces underlying differences.

Both analytic model and numerical simulation due to Nayakshin (2010) confirmed the suggestion made by Boss (1998a) but the initial configurations predicted by this study are found to be different from the ones found in the study of Helled and Schubert (2008).

It combines the benefits of analytic and numerical protocols in a single powerful algorithm that both complements and enhances existing optimization strategies.

to the analytic and numerical methods for fractional differential equations.