Tsybulenko O. Geometrical models for procedures of the barycentrical averaging.

Object - procedure of the barycentrical averaging; purpose - development of geometrical models for solution by the procedures of the barycentrical averaging problems of restoring harmonic functions and problems of designing of Newton-Cotes type cubatures; novelty - geometric models as the discrete elements of second and third order triangles and hexagon, and also algorithms of the barycentrical averaging method, probability-geometrical representation of weight coefficients of the calculated formulas, hierarchical scheme of cubatures construction on the discrete elements, alternative cubatures for the various discrete elements, new geometric schemes of the Monte-Carlo method (routing and algorithming of random walks); results - effective toolkit for modelling of stationary physical fields and for construction of cubatures on the centered discrete elements is proposed; are introduced - on the production and in the educational process.