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Titlebook: Numerical Integration; Recent Developments, Terje O. Espelid,Alan Genz Book 1992 Springer Science+Business Media Dordrecht 1992 Numerical i

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978-94-010-5169-9Springer Science+Business Media Dordrecht 1992
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Numerical Integration978-94-011-2646-5Series ISSN 1389-2185
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Book 1992: Recent Develop­ ments, Software and Applications‘, held at the University of Bergen, Bergen, Norway, June 17-21,1991. The Workshop was attended by thirty-eight scientists. A total of eight NATO countries were represented. Eleven invited lectures and twenty-three contributed lectures were presented
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An Algebraic Study of the Levin Transformation in Numerical Integrationr Levin transformation is capable of obtaining approximations more accurate than those obtained by the straightforward use of the transformation. Numerical results are presented to illustrate the effectiveness of the iterated transformation in these cases.
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On Quadrature Formulae Near Gaussian Quadrature degree 2.– 3 using the node y and the associated weight .. With these results, conditions for convergence of such quadrature rules in classes of differentiate functions are obtained. In particular, if all nodes are contained in [., .], we prove convergence of each such rule for every . ∈ ..[., .], but not for functions in the class ..[., .].
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