Sentence examples for by the variation method from inspiring English sources

The equations for the motion of disturbances of the coupling model are derived by the variation method.

In Ref. [6] simple trial states have been employed to obtain the n-body wave equations in the scalar QFT by the variation method.

By comparison, the variation method is suitable for extracting fractal dimension of engineering ceramics ground surface.

Batiha [30], Gupta [28], Rafig et al. [29], Yildirim et al. [32], Parand et al. [31] obtained the same result by the variation iteration method, the homotopy perturbation method and the Hermite functions collocation method but using symbolic calculations as integral iterative functionals and solving differential equations of the second order.

The mass and stiffness distribution is optimized by applying the Lagrange variation method on the FPM solution yielding Fredholm integral equations.

By the well-known variation method, there exists a solution of the elliptic system (2.13) for any.

Since there is always a risk of not finding the real optimum by single variation method, more advanced optimization approaches such as multivariable approach (MVA) should be applied.

He framed it as a distinct break: for the first time, Beethoven departed from the typical variation method used by Mozart, Haydn and others who preceded him.

For waves that approximate the peakons in a special way, a stability result was proved by a variation method [6].

1 1 stoichiometry is obtained for pSCX4 Cu2+ system by continuous variation method.

MEP problem is to find a path in which the exposure reaches minimum, while the minimum E(f(x)) could be obtained by variation method of extremum.