Sentence examples for method the generalized from inspiring English sources

In Section 4, we prove Theorem 1.2 by the variational method, the generalized mountain pass geometry and the critical point theory.

With our method, the generalized Navier boundary condition is extended to handle the moving contact line problems with complex boundary in a very natural way.

Return levels are estimated by the Goda method, the Generalized Extreme Value (GEV) and the Generalized Pareto Distribution Poisson point process models and the Equivalent Triangular Storm (ETS) algorithm.

In the proposed method, the generalized coordinates and additional kinematic constraints are selected in such a way that the base motion coordination along the predefined path is guaranteed while the optimal motion trajectory of the end-effector is generated.

For the task of topic identification our experiments show a relative reduction in topic identification error of 44.94% when compared to the baseline method, the Generalized Vector Model with a classic TF IDF weighting scheme.

In this paper, the two-dimensional Burgers' equations are numerically analyzed by a meshfree numerical scheme, which is a combination of the implicit Euler method, the generalized finite difference method (GFDM) and the fictitious time integration method (FTIM).

The differential effective medium approximation, the finite element method, and the generalized method of cells (GMC) are investigated with regard to their suitability as homogenizers in the RCM.

In recent years, some efficient methods have been proposed to solve the AVE (1.1), such as the smoothing Newton method [6], the generalized Newton method [7 11], the sign accord method [12].

Among TDE methods, the generalized cross-correlation (GCC) method is one of the most widely used because of its simplicity and acceptable performance [7 9].

Some popular approaches of the continuum model include the apparent surface charge (ASC) method, the multipole expansion methods, the generalized Born approximation, the image charge methods, and the finite element and finite difference methods [15].

Except for the above two methods, the generalized cross-validation (GCV) (Golub et al. 1979) and L-curve (Hansen 1992) methods are often widely used to select the regularization parameter for data inversion in many fields.