Применениe многомерных сферических координат для численного интегрирования и некоторых других задач

Abstract

The numerical method of integration of functions in multidimensional spherical coordinates, which is convenient for the practical applications, has been worked out. Solutions of two visual examples by offered and known methods are given in order to corroborate authenticity of results and show how to use the method. Application of method of numerical integration for calculation of probabilities and moments on multi-dimensional distributions is described. The possible use of multidimensional spherical coordinates for extreme tasks on surfaces and some other tasks are shown.