Tuluchenko G. Geometrical modelling of scalar fields by a method of averaging of adaptive invariant patterns

Dissertational work is devoted to development of a new direction of methods of geometrical modelling and scanning in separate points of scalar fields (by the example of stationary) by averaging results of superposition of surfaces which carriers are adaptive invariant patterns. The certain universality of the suggested method of averaging of adaptive invariant patterns (MAAIP) allows to solve a set of problems on the general methodological basis, namely problems: 1) scanning of a stationary scalar field in separate points; 2) optimization cubature formulas for triangles concerning their use in a method of finite elements for restoration of harmonious functions; 3) spline approximations of one-dimensional experimental dependences. Algorithms of realization of a method for bi-dimensional problems are introduced at experimental researches of temperature fields heat-loaded constructional elements of vehicles. The one-dimensional variant of a method is used at studying laws of change рН finishing solutionsin the textile industry.