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Article information
2004 , Volume 9, Special issue, p.44-49
Vaskevich V.L.
Criterion of computation with guaranteed accuracy for multidimensional integration
A new positive parameter, which is called a guaranteed radius, is defined. This parameter is used in estimations of the error of the cubature formula under consideration. For the given number of nodes we derive an estimation of the distance between the guaranteed radius of the formula and the norm of the respective error functional.
Classificator Msc2000:- *41A55 Approximate quadratures
- 65D32 Quadrature and cubature formulas
Keywords: Banach space, computer representation of a real number, error functional, cubature sum
Author(s):
Vaskevich V.L.
Senior Scientist
Position: Associate Professor
Address: 630090, Russia, Novosibirsk
Phone Office: (383) 333 06 84
E-mail: vask@math.nsc.ru
Bibliography link:
Vaskevich V.L. Criterion of computation with guaranteed accuracy for multidimensional integration // Computational technologies. 2004. V. 9. Special issue. Selected papers presented at VII International workshop “Cubature formulae and their applications”. Krasnoyarsk, August 2003. P. 44-49
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