The course will consider the problems associated with the approximation of derivatives on irregular grids 鈥� triangulations. In particular, what role does the classical triangulation of B. N. Delone play in these problems? The problems associated with the transition from a two-dimensional case to a three-dimensional one will be especially noted. Examples will be given to show that the use of the Delaunay triangulation is not sufficient for approximating derivatives. Accordingly, there is a need for additional conditions. The lectures will consider two types of such conditions: a modification of the Delaunay condition, and the use of a class of triangulations that generalize the Delaunay triangulation.
In addition to the above, the lectures will consider the problem of estimating the coefficient of the ratio of the internal metric of a triangulation graph to the Euclidean one, and it is also supposed to demonstrate the results of computational experiments using the Python programming language.
