Sentence examples for by utilizing a numerical from inspiring English sources

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Further, the nonlinear system non-stationary response amplitude probability density function (PDF), which is required as input for the developed approach, is determined either by utilizing a numerical path integral scheme, or by employing a time-dependent Rayleigh PDF approximation technique.

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For analysis purposes, a numerical time-domain analysis is performed by utilizing a robust numerical algorithm working based on the boundary element method.

We also validate the accuracy of the proposed method of moments by utilizing a known numerical moving grid discretization method as a reference.

In this study, the nonlinear interaction mechanism between ocean wave, a composite breakwater and its loose elasto-plastic sand bed foundation is investigated by utilizing a semi-coupled numerical model FSSI-CAS 2D.

In this study, taking a caisson breakwater as the typical offshore structure, the simple linear interaction between ocean wave, a caisson breakwater and its poro-elastic seabed foundation is investigated by utilizing a three-dimensional integrated numerical model FSSI-CAS 3D.

Also, the numerical solutions are carried out by utilizing an adaptive step-size fourth-order Runge-Kutta technique.

In the current 3-D numerical simulations, a simplified approach by utilizing an isotropic porous medium model is adopted for modeling the flow through a compact oil radiator.

The method utilizes a numerical implementation of a transfer matrix solution to the equation of motion.

This article utilizes a numerical integration scheme for the contact integral where the integration points are the contactor nodes.

A new concentrator design method was proposed that can be easily integrated into a standard vehicle design procedure by utilizing numerical optimization in a CAD-friendly environment.

The design of a desired feedback controller can be achieved by solving a group of linear matrix inequalities (LMIs) by utilizing available numerical software.

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