Sentence examples for by using a variational from inspiring English sources

We then show mathematical conditions, including a constraint qualification and convexity of the feasible set, which allow us to characterize the economic problem by using a variational inequality formulation.

We obtained these results by using a variational reduction method.

In this paper, a dynamic competitive economic equilibrium problem by using a variational formulation is studied.

Third, in order to solve these field equations we generate a weak form by using a variational formulation.

The Gaussian distribution parameters can be estimated in the DMNB model by using a variational inference-based expectation maximization algorithm.

A size-dependent model for the electrostatically actuated Nano-Electro-Mechanical Systems (NEMS) incorporating nonlinearities and Casimir force is presented by using a variational method.

Then by using a generalized variational functional which absorbs the periodicity condition, an eigenfunction expansion–variational method based on a unit cell is developed to solve such problems.

Complete functions are used to represent displacements, with coefficients being chosen by using a modified variational principle.

The discretisation in time is performed by using a Total Variational Diminishing (TVD) two-stage Runge Kutta time integrator.

The authors proved the existence of entire solutions of (1.10) by using a direct variational method and the mountain pass theorem.

The sensitivity of eigenvalues to the location of bracing and/or boundary support is formulated by using a generalized variational principle.