Titlebook: Numerical Integration; Recent Developments, Patrick Keast,Graeme Fairweather Book 1987 D. Reidel Publishing Company, Dordrecht, Holland 198

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Jarle Berntsen,Terje O. Espelideship is long and restricted to a small number of people per teacher. The introduction of movie cameras into the operating rooms improved the quality of surgical education. But filming in open surgery is not so easy. The cameraperson has to be well trained to catch good takes in the depth of a pit between the heads, shoulders, and978-3-540-27020-1

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1389-2185 ntegration: Recent Developments, Software and Applications‘, held at Dalhousie University, Halifax, Canada, August 11-15, 1986. The Workshop was attended by thirty-six scientists from eleven NATO countries. Thirteen invited lectures and twenty-two contributed lectures were presented, of which twenty

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Computation of the Index of an Analytic Functioncharacter of . the computation of Φ.(.) may give erroneous values. The method proposed is aimed at overcoming this difficulty. It involves approximating . on Γ between .. and .. by a suitable function .. for which Φ.(..) is known exactly. Numerical results are presented for the case where the .. are polynomials of the 3rd degree.

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Bounds and Approximations for the Zeros of Classical Orthogonal Polynomials. Their use in Generatingrmula [3] .,for all the zeros .. belonging to the interval ., and under the previous hypotheses for the parameters α and β. The main tool that we use in deriving the bounds is the well-known Sturm comparison theorem.

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The Convergence of Noninterpolatory Product Integration Rulest, convergence of an iterated limit is proved under assumptions similar to those required for polynomial product integration. Then, convergence of the double limit is shown under more stringent assumptions.

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Some Quadrature Rules for Finite Trigonometric and Related Integralsother..The emphasis here is on the analytical properties of these rules, on how to classify them, and on how to arrange the calculations. There is no discussion of the relative merits of various rules and no error expressions are given.

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