Sentence examples for by direct numerical computations from inspiring English sources

The precision of the analytic approach is checked by direct numerical computations and is shown to be quite satisfactory.

However, our data suggest that, at least in fish, the priority of perceptual over numerical information is not related to a greater cognitive load imposed by direct numerical computation.

Direct numerical computations show that our technique is much more accurate and efficient than existing techniques.

Direct numerical computation of tone acoustic power is based on a RANS (Reynolds averaged Navier Stokes) solver followed by an integration of acoustic intensity over specified inlet cross-sections, derived from Cantrell and Hart equations (valid in irrotational flows).

Usually, an analytical solution of the CME is not possible and direct numerical computation of the solution is computationally overwhelming due to the large state space.

The stability is studied in three different ways: by a normal-mode analysis, by numerical computation of the amplification factors, and by direct numerical simulation of the governing equations.

The RTE can be solved by direct numerical integration [ 14] or by Monte Carlo based methods [ 15 18].

By numerical computations, we will present a series of conjectures.

We confirm the analytical results by numerical computations using numerical methods of dynamic optimization.

The analytical results are confirmed by numerical computations, using numerical methods of dynamic optimisation.

The theoretical solutions are verified by numerical computations.