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Conference publicationsAbout Cubature Formulas of High-order Approximation for a Wide Class of DomainsThis article is dedicated to use of 5th-order smoothing S-splines. Such splines are piecewise polynomial functions. First three coefficients are defined by condition of smoothing of 2nd order, while another three coefficients – by method of minimal squares. These splines are used for building of quadrature and cubature formulas of 6th order of approximation for one-, two- and three-dimensional simply connected domains. Corresponding estimations are also given. |
