Systematics numerical

Note that the definite integrals in the members of the elemental stiffness matrix in Equation (2.77) are given, uniformly, between the limits of -1 and +1. This provides an important facility for the evaluation of the members of the elemental matrices in finite element computations by a systematic numerical integration procedure (see Section 1.8). 

In these developments there were two distinct stages the first one, which dealt with the nearly linear oscillations, found its perfect algorithm in the theories of Poincare (both topological and analytical), which constitute the major part of this review here the discoveries were most striking as well as systematic. Numerous phenomena that had remained as riddles for many years, sometimes even for centuries, were systematically explained. We indicate in Part I of this chapter the qualitative aspect of this progress and in Part II, the quantitative one. 

In the case of Poisson-distributed noise, we can do a systematic numerical calculation. The reasons we can do this now, when we could not do it for the Normal distribution, are the ones we have discussed previously ... 

From systematic numerical investigations combining direct and indirect damping effects, one may perform the following conclusions ... 

In the case of Poisson-distributed noise, we can do a systematic numerical calculation. 

The simplified equations that govern electro-osmotic phenomena are Eqs. (45)-(49). Apart from some simple situations [31] such as Poiseuille flow, isolated spheres, these equations cannot be solved analytically. Hence, it was found useful to start a systematic numerical analysis, which is summarized below. 

Cases of ground surface relief of the Earth were not considered in investigations. Or the cases were not brought to systematical numeral modeling. Currently available methods of relief form corrections have approximate pattern. In this study, for the calculation of fields in layered relief medium, we use the method of integral equations, well-established when performing modeling in resistivity method [7],[8],[9]. 

---