Sentence examples for by numerical integration for from inspiring English sources

All the asymptotic (analytical) results can be verified by numerical integration for small values of ϵ.

The effects of geometrical properties of stiffeners on the changes of power flow are quantitatively analyzed by numerical integration for the structural intensities.

The results obtained by the method presented coincide very well with the results obtained by numerical integration for the Duffing van der Pol oscillator withf u,u =μ(1−u2)u−βu3.

Simulation of 2-step model: We calculated the release rate by numerical integration of differential equations for single and paired-pulse experiments using Igor Pro with a time interval of 0.01 ms (Figs. 1 and 2).

This conclusion has been confirmed by calculations of the electric field distribution and potential profiles in immunosensing films performed by numerical integration of Poisson equation for Gaussian distributions of fixed charges of covalently bound components.

The eigenfunction for the oscillations of the first mode shown in Fig. 8 was calculated by numerical integration of the equation for the vertical velocity of internal waves with realistic stratification.

The theoretical wavelength of the first mode of internal tidal wave was determined by numerical integration of the equation for the vertical velocities of internal waves with the realistic stratification and zero boundary conditions for vertical velocities at the surface and bottom.

The theoretical flocculation rate for a monosized suspension is obtained by numerical integration from the mean shear rate for the whole tank, or from the stirring speed in a given geometry.

Particle motion was evaluated by numerical integration of the Langevin equation accounting for the combined effects of electrostatic repulsion, enhanced hydrodynamic drag, Brownian diffusion, and interparticle forces.

This framework is general because it applies (i) to any biological function expressible in the temporal logic LTL, an expressive language for specifying dynamical behaviors widely used in computer science and engineering, and (ii) to any perturbation set, provided that the behaviors of the perturbed system can be obtained as numerical timed traces, for example by numerical integration of ODEs.

The Q is evaluated by numerical integration of the evanescent energy outside the spheroid for the axially polarised field.