Sentence examples for using numerical solutions of from inspiring English sources

Table 1 is constructed using numerical solutions of the difference schemes for different values of N and M. We observe that both schemes converge with the correct order.

We calculate AVO responses using numerical solutions of the Zoeppritz equations and display the results in Fig. 7c by the same colors for the cases in Fig. 7b.

In this study we investigate periodically time-variant lower boundary conditions in a one-dimensional soil column with a water table, using numerical solutions of Richards equation.

By making the Poisson assumption of independent upcrossings, extreme exceedance probabilities are predicted via the mean threshold crossing rate, using numerical solutions of the stationary Fokker Planck (FPK) equation.

In the present work, the effect of different operating parameters such as frequency of irradiation, intensity of irradiation, initial radius of the cavity, the gas content of the cavity and the operating temperature on the cavitational activity has been studied in a triple-frequency sonochemical reactor using numerical solutions of the cavity dynamics equations.

Using numerical solutions of the Langevin equations, to simulate the motion of colloidal suspensions in a continuous flow, at low Reynolds numbers, it is shown that the separation time is not affected by the flow velocity if single particles are considered.

Results are obtained using numerical solution of a variational boundary value problem that we derive, as well as analysis, for the theta model and using a combination of simulation and analysis for the LIF model.

In this paper we use numerical solutions of the unsteady Navier-Stokes equations to study the occurrence of convective dispersion in the absence of diffusion.

In an effort to orient the reader on the properties of the basic model and its general predictions, we use numerical solutions to the deterministic version of the model.

It can be observed that the result derived using numerical solution matches that of analytical one.

Using the numerical solutions of the matrix inequalities, a reduced-order filtering with error less than some prescribed scalar can be computed.