Sentence examples for numerical analytic results from inspiring English sources

Numerical analytic results imply that the cable loosening appears in the bottom cables of the multi-cable system and the dynamic response of the bridge is slightly increased.

The validity of numerical simulation for discontinuity effects is confirmed by comparison of the numerical and analytic results.

In order to provide a physical understanding, a simple analytic model is also developed, and an excellent agreement is shown between numerical and analytic results.

Figure 5 Escape times: comparison of numerical and analytic results.

Previous results of Grigoriev et al. [Phys. Rev. Lett. 79, 2795 (1997)] are reviewed and compared with our numerical and analytic results.© 1998 The American Physical Society.

To understand how the mean escape time, E , varies as a function of model parameters, we consider both numerical and approximate analytic results for comparison.

Extensive numerical simulations confirm the analytic results.

Our methods are tested by comparing the numerical solutions with known analytic results, and it is shown that for the same amount of computational work our spectral methods are more accurate than other contour dynamics methods currently in use.

The solid and dotted lines depict the numerical search and our analytic results from Proposition 1, respectively.

The numerical simulation of derived analytic results seems to be an important step with regard to the validation of mathematical modeling of any queueing system.

These solutions become infinite in a finite time T. By a series of careful numerical computations, partly supported by analytic results, we demonstrate that there is a countably infinite set of blow-up self-similar solutions which satisfy a second order complex ordinary differential equation with an integral constraint.