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Article information
2004 , Volume 9, Special issue, p.95-101
Osipov N.N.
Asymptotes of norm of error functional of lattice cubature formulas
An asymptote of the norm of error functional for of lattice cubature formulas (rectangular formulas) is investigated for a class of spaces , which includes spaces of periodic functions with a dominating derivative . The principal term of the asymptote is calculated for special lattices . Construction of the lattice is based on the geometric constraints of the algebraic numbers theory.
Classificator Msc2000:- *65D32 Quadrature and cubature formulas
- 41A55 Approximate quadratures
Keywords: dual lattice, field of algebraic numbers, recurrent relation, field isomorphism
Author(s):
Osipov N.N.
PhD. , Associate Professor
Position: person working for doctors degree
Address: 660074, Russia, Krasnoyarsk
Phone Office: (3912) 49-76-46
E-mail: osipov@fivt.krasn.ru
Bibliography link:
Osipov N.N. Asymptotes of norm of error functional of lattice cubature formulas // Computational technologies. 2004. V. 9. Special issue. Selected papers presented at VII International workshop “Cubature formulae and their applications”. Krasnoyarsk, August 2003. P. 95-101
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