Sentence examples for by numerical methods using from inspiring English sources

These envelopes have commonly been defined by numerical methods using deterministic soil parameters, ignoring the natural spatial variability of seabed sediments.

The method is first validated for flows with specified solid boundaries by comparison with exact analytical solutions and with previous computational results obtained by numerical methods using Eulerian formulations.

In all cases, the effective source region was localized in either two or three dimensions, and could be regarded as acoustically compact, and the sound was calculated by routine numerical methods using the theory of compact Green functions.

The fin efficiency, obtained by a numerical method using the averaged heat transfer coefficient, is compared with that using the local heat transfer coefficient.

The advection equation is a fundamental building block of dynamical cores of atmospheric and ocean models, and this analysis provides an indication of the effective resolution of the numerical methods used by dynamical cores.

The deterministic analysis was conducted by finite element numerical method (using Abaqus 6.10) and the radial strain taken as the response parameter.

The data were fit by numerical integration methods using Dynafit 3 and employed the simplest models that preserved the information content of the data sets.

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).

It is generally impossible to obtain the analytic optimal guidance law for complex nonlinear guidance systems of homing missiles, and the open loop optimal guidance law is often obtained by numerical methods, which can not be used directly in practice.

Also, it is easily possible to conduct pre-process and post-process stage of the numerical methods by using interfaces, to create graphics and other visual object from the numerical results, and to make animations.

The performance of broadband ANC with imperfect knowledge of CSI is evaluated by Monte Carlo numerical computation method using the derived theoretical expressions and computer simulation.