Sentence examples for by utilizing the numerical from inspiring English sources

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A detailed analysis of the aerothermodynamics for EXPERT for a wide range of flow regimes is also provided by utilizing the numerical flow visualization.

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In the divergence constraint equation, an artificial compressibility term (time derivative of the pressure with a small parameter) is added and the first order terms are expressed in a divergence form, and are discretized by utilizing the Lax Friedrichs numerical fluxes.

We conclude this manuscript by saying that, utilizing the numerical methods, one can obtain approximations of the unknown exact solution.

To demonstrate the feasibility of settling the sneak-path issue by utilizing the observed self-rectifying behavior, numerical simulation of the maximum crossbar size has also been conducted for Device28 by the use of MATLAB.

The numerical results show by utilizing the MSE transfer chart the proposed channel decoding and state estimation algorithm can decrease the MSE and improve performance of channel decoding and state estimation.

By utilizing the extrapolation method, we can get numerical solutions with higher convergence order from (3.3), (3.16), and (3.23), respectively.

By utilizing the LMI toolbox of Matlab for numerical simulation, the state response curves and the output response curve are given.

The numerical method is demonstrated by utilizing the method to model the carbon oxidation and weight loss behavior of C/SiC specimens during thermogravimetric experiments.

A series of numerical simulations were conducted by utilizing the United Computational Fluid Dynamics code.

Numerical results indicate that by utilizing the fin heights as the design variables, the best heat sink performance can be obtained and the middle and center fin height both become negligible.

The results obtained by numerical experiments demonstrate that by utilizing the optimal heat sink and operating at the design condition Re = 15,000, Rth can be decreased by 3.10% and 1.20% when compared with the original and Yang and Peng's (2008) [1] heat sinks, respectively.

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