Conference publications

About Cubature Formulas of High-order Approximation for a Wide Class of Domains

Silaev D. A., Korotaev D. O.

"Математика. Компьютер. Образование". Cб. трудов XVI международной конференции. Под общей редакцией Г.Ю. Ризниченко Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2009. Vol. 2. Pp. 20-38. (accepted)

This 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.

© 2004 Designed by Lyceum of Informational Technologies №1533