The curvature of the fluid/fluid interface is not approximated according to the lubrication approximation in order to create a well-defined set of equations in the sense of Hadamard.
The advantage of the proposed design method consists in that the delays are not approximated but fully considered.
Also, in contrast to the original quasi-discrete model, the contributions of individual components are not approximated by the distribution function of carbon numbers.
Using this definition, the ({mathbf {W}}^{rm T}{mathbf {W}}) operation is not approximated well by a shift-invariant convolution operation.
Numerical examples are presented to show that even very simple problems, including basic problems in fluid dynamics, are not approximated well by schemes with anisotropy artificial viscosity, regardless of numerical parameters.
In the noniterative approach [11] the distribution of interference is not approximated as Gaussian but modeled via uniform triangular densities which, however, leads to an only minor performance gain.
In order to have a better insight how this affects robustness, let us suppose that at a given position, the vertical derivative could not approximated well and, thus, would be considered an outlier.
Non overlapping SNPs that were not approximated by SNPs with substantial LD (D'>0.8) were genotyped with Sequenom (AJCS) and BigDye Terminator cycle sequencing kit and an ABI Prism 3730xl DNA analyzer (Applied Biosystems, CA, USA).
However, the steady state depicted in Figure 2B in the right lower panel was not approximated by spectral methods, illustrating their limitations.
In this case the nonlinear system is not approximated by a set of linear equations but by a set of piecewise-linear equations [ 20].
