Sentence examples for vertical approximation from inspiring English sources

A novel semi-spectral solution procedure, in which the vertical structure of the model variables is represented as a finite sum of user-specifiable structure functions (e.g., Chebyshev polynomials), provides faster-than-algebraic convergence of the vertical approximation scheme.

These results are in sharp contrast with the data obtained within the cruder vertical approximation (as above).

It is important to note that all data reported in Table 1 and in the Supporting Information have been obtained in the vertical approximation, that is, using a frozen ground-state geometry and completely neglecting vibronic couplings.

This latter outcome is related to an error compensation between, on the one hand, the vertical approximation and, on the other hand, the inherent inadequacy of TD-DFT for cyanines.

For BODIPY and other fluoroborates, one can split the simulations into two categories, those performed within the vertical approximation (frozen ground-state geometry and neglect of vibrational effects, see above) and those going beyond that simple scheme by exploring and characterizing the potential energy surface of the excited state.

Firstly, horizontal and vertical approximations of the derivatives of the source image f x,y) are obtained by applying the Sobel-Feldman [36, 37] operator.

It has a fully compressible horizontal discretization, and a quasi-Lagrangian vertical discretization approximation, which ignores the acceleration term in the vertical component of the momentum equation.

It has a fully compressible horizontal discretisation and a quasi-Lagrangian vertical discretisation approximation which is good for scales larger than 10 km (Neal et al. 2012).

In both the depth-integrated and multi-layer formulations, they decompose the pressure into hydrostatic and non-hydrostatic components following Casulli [2] and apply the Keller-box scheme [7] to the vertical gradient approximation of the non-hydrostatic pressure.

The vertical scale is an approximation of amount of precise information about geohazards at particular times in the past.

The latter is associated with fuzzy information fusion based on four subimages (that is approximation, horizontal, vertical, and diagonal detailed images) using wavelet decomposition method.