Sentence examples for by numerical solutions of from inspiring English sources

Energy 34, 910 921] and also independent results obtained by numerical solutions of the related integral equation via use of the singularity subtraction technique and quadratures.

Solidification of gallium (Pr=0.02) in liquid bridges in zero-gravity conditions is investigated by numerical solutions of the three-dimensional and time-dependent flow-field equations.

We also showed that for frequencies f smaller than fC the spectrum is formed by almost equally spaced levels whereas for f>fC the spectrum consists of pairs of eigenvalues very close to each other as predicted by numerical solutions of Timoshenko׳s equation: we shall refer to them as Timoshenko doublets.

It was created by numerical solutions of ordinary differential equations for the characteristics, see the theory of Text S1, Section 2.3.

The computation of molecular structures by numerical solution of the Schrödinger equation is a highly developed discipline.

The determination of structures by numerical solution of the Schrödinger equation has become a highly developed process entailing use of computers and supercomputers.

The predictor is designed using Lyapunov-based methods, by numerical solution of a linear matrix inequality.

The longitudinal temperature profiles are obtained by numerical solution of the heat balance equation.

From two numerical applications, this technique with a method of high-order finite differences is validated by numerical solution of transient nonlinear diffusive convective problem in three dimensions.

The velocity distributions were determined in an earlier investigation by numerical solution of the Navier Stokes equation.

The values obtained were compared with those obtained by numerical solution of the exact model and by using approximate methods reported in the literature.