Sentence examples for by an exact solution from inspiring English sources

Elastoplastic deformation and stress distributions in a thin or classical Euler Bernoulli beam are derived by an exact solution methodology.

Indeed, he proved that each solution of the inequality, for all and, can be approximated by an exact solution, say an additive function.

This model was developed from the conventional grey model – GM 1,1) in which the background series used to establish grey differential equation was designed to be obtained by an exact solution, consequently, improving the model accuracy.

The force field in the substrate is computed by an exact solution which is efficiently evaluated using the fast Fourier transform, whereas in the growing film it is computed directly.

Hence, as the number of loci and number of sites per locus both increase, the tree returned by an exact solution to the constrained MQSST problem, using default settings for X, will converge in probability to the true species tree T*.

The function (l(t)) in (1) is obtained by choosing an exact solution (u z)=operatorname{Re}[f z)]), where (f z)= frac {1}{z}).

The function (l(t)) in (1) is obtained by choosing an exact solution (u z)=operatorname{Re}[f z)]), where (f z)= z^{2}-2).

The function (l(t)) in (1) is obtained by choosing an exact solution (u z)=operatorname{Re}[f z)]), where (f z)= cos z -2).

Our algorithm is validated by comparison to an exact solution, by resolution studies, and by comparison to the results of a spectrally accurate method boundary integral method (BIM).

The postbuckling behavior of functionally graded beams is investigated by means of an exact solution method.

The results of the method are studied numerically by comparison with an exact solution.