Sentence examples for by numerical methods and from inspiring English sources

The electrowetting force is computed by analytical methods as well as by numerical methods and its effect on droplet velocity is studied in detail.

Here we consider special plans of experiments and the statistical analysis of the ALT data by numerical methods and simulation using the changing shape and scale (CHSS) model proposed by Bagdonavičius and Nikulin (1999).

The deformation modulus was determined by pressuremeter tests, the possible effects of variables on the derived deformation modulus from the pressuremeter test were evaluated by numerical methods, and the comparisons between the deformation modulus of the greywackes obtained from the pressuremeter tests and their geomechanical quality (GSI and RMR) were made.

An important question for future studies is that the failure mechanisms occurring at the connective parts including their surrounding areas and choosing reasonable failure criterion for the material of these sections have to be researched by numerical methods and experimental tests.

Our methodology is based on a two-step approach consisting of a preprocessing stage, where physical properties of different types of particles are analyzed by numerical methods, and a second stage of stochastic (annealing-based) simulations which exploits approximate formulas for local interactions.

However, most of the works on this issue are investigated only by numerical methods and not by analytical approaches.

The stress intensity factors (SIFs) of the two joints are determined by numerical method and then by empirical method.

Considering the south-facing slope effect and other factors, the dynamic variation of heat influence scope of paved embankment is investigated by numerical method and statistic approach.

The simple, but highly accurate solution was validated by the exact solution for the linear problem, and also by numerical method and differential transformation method in the case of the non-linear problem.

In fact, the distribution of transit orbit in the phase space has been investigated by numerical method, and a Fourier series approximation method has been introduced to describe the boundary of transit orbits.

Based on the mathematical model, the coupled multi-body nonlinear dynamics of the vibration system is investigated by numerical method, and the parameters influences of excitation amplitude, mass ratio and inclined angle on the dynamic characteristics are precisely analyzed and discussed by bifurcation diagram, Largest Lyapunov exponent and 3-D frequency spectrum.