Article information
2004 , Volume 9, Special issue, p.133-138
Shoinzhurov T.B., Urbahanov A.V.
General form of finite error functionals of cubature formulas in Sobolev space
Cubature formulas of the generic type which contain the values of the function and its derivatives, are considered. For these formulas a generic form of the finite functionals is described and norms of the finite functionals in the Sobolev space are defined.
Classificator Msc2000:- *46E10 Topological linear spaces of continuous, differentiable or analytic functions
- 65D32 Quadrature and cubature formulas
- 41A55 Approximate quadratures
Keywords: integration by parts, harmonic operator, generalized function, integral representation
Author(s): Shoinzhurov Ts.B. Dr. , Professor Position: Professor Address: 125047, Russia, Ulan-Ude
Phone Office: (3012) 44 23 09 Urbahanov A.V. Position: Student Address: 125047, Russia, Ulan-Ude
Phone Office: (3012) 21-47-74 E-mail: urbahanovjr@mail.ru
Bibliography link: Shoinzhurov T.B., Urbahanov A.V. General form of finite error functionals of cubature formulas in Sobolev space // Computational technologies. 2004. V. 9. Special issue. Selected papers presented at VII International workshop “Cubature formulae and their applications”. Krasnoyarsk, August 2003. P. 133-138
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