Article

Cubature formulas for a disk that are invariant under groups of transformations of regular polygons into themselves

Э. А. ШамсиевTashkent State Technical University, Universitetskaya ul. 2, Tashkent, 700095, Uzbekistan

Computational Mathematics and Mathematical Physicsjournal2006en

ABI

Abstract

A method for constructing cubature formulas of different degrees of accuracy that are invariant under the groups of transformations of regular polygons into themselves is proposed. The cubature sum can contain powers of the Laplace operator applied to the integrand at the origin.

Topics

Geodetic Measurements and Engineering Structures Advanced Theoretical and Applied Studies in Material Sciences and Geometry Advanced Computational Techniques in Science and Engineering

Identifiers

DOI: 10.1134/s0965542506070050

Citations and references

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