Sentence examples for using numerical methods of from inspiring English sources

Exact(4)

We confirm the analytical results by numerical computations using numerical methods of dynamic optimization.

The analytical results are confirmed by numerical computations, using numerical methods of dynamic optimisation.

In the present study, using numerical methods of lower bound limit analysis, the required apparent cohesion in the geocell layer to bear the applied load on strip foundations has been determined by back analysis.

The growth of the large scales, and dissipation of kinetic energy is captured well at resolutions greater than 323, or when using numerical methods of higher than third-order accuracy.

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The fitting method between experiment and calculation data was carried out using numerical method of error minimization by sum of square error (SSE) principle.

Its conclusions highlight the usefulness of using numerical methods to gain better understanding of critical joint design parameters.

These properties allow using numerical methods for the calculation of steady-state probabilities and we consider three algorithms for steady-state solution in detail: banded Gaussian elimination, direct solution by recursion, and block Gauss-Seidel methods.

Using numerical methods, the effect of spatially variable permeability of porous medium tube-to-tube inter-connectors on the thermo-hydraulics of near-compact heat exchangers (NCHX, surface to volume ratio, α = 100 300 m2/m3), is studied.

In this case, the basic idea is to iteratively solve the KKT conditions of the problem using numerical methods typically applied to the resolution of systems of nonlinear equations such as the Newton method.

Mathematical model of zone melting of systems with variable distribution coefficient was solved using numerical methods under the condition of complete liquid mixing.

The governing equations obtained by adopting this technique can be solved using numerical methods by conformal discretization of the domain.

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