Институт вычислительной математики
и математической геофизики

Abstracts

Approximation of functions and quadrature formulas

The definition of the best cubature formula invariant under the tetrahedral group of rotations with inversion for a sphere is given. The process of searching for the best cubature formulae of the given symmetry type is described. The table which contains the main characteristics of all the best today cubature formulae of the tetrahedral group of rotations with inversion up to the 41st algebraic order of accuracy is given. The weights and the coordinates of the new cubature formulae of the 13th and 17th orders of accuracy are given to 16 significant digits.

Note. Abstracts are published in author's edition

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