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 [Java Applet] 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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