Sentence examples for using the variational technique from inspiring English sources

The optimum reference template given a symbol candidate can be obtained using the variational technique (see [17]) (11).

Using the variational technique we show that in PEM fuel cells, an exponential shape of the local current density along the oxygen channel provides the best cell performance.

Hence, under various sets of assumptions on the nonlinear term (f x, t)) (subcriticality, superquadraticity, etc)., the authors proved the existence of infinitely many solutions to problem (1.2) by using the variational techniques in a standard way.

It briefly reviews the static model, and proposes an alternative formulation for it using the variational inequality (VI) technique.

end{aligned} By using the variational method and iterative technique, the authors show the existence of at least one nontrivial solution to the above boundary value problem.

The presented oscillation and nonoscillation criteria are obtained using the variational principle and the so-called modified Riccati technique.

To carry out this calculation, we first located current plateaus using the Variational Baysean Gaussian Mixture Model, VBGMM.

The difference between our methodology from that of Facchinei et al. [36] and Fukushima and Pang [37] is that we use the variational analysis technique in Rockafellar and Wets [40] to establish the convergence property of the solution set (operatorname {SOL}(P_{mu})) to (operatorname{SOL}(P)).

The variational technique of Ponte Castañeda is used to approximate the nonuniform eigenstrains by piecewise uniform eigenstrains.

Particularly in the last decade or so, many authors used the variational method and analytic techniques to study the existence of positive solutions of systems of the form of (1.1) or its variations; see, for example, [4 8].

So the variational technique for problem (1.1) becomes more delicate.