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

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Asymptotic Expansions and Their Applications in Numerical Integrationds. A generalization of the expansions to non-integer mesh ratios will allow extrapolation on a sequence of product offset trapezoidal rule sums which is invariant with respect to the group of the affine transformations of the .-simplex onto itself.

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Book 1987: 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-five appe

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The Convergence of Noninterpolatory Product Integration Rulesn generalized piecewise polynomial interpolation. The second concerns rules involving modified moments for which there is a double limit process. First, convergence of an iterated limit is proved under assumptions similar to those required for polynomial product integration. Then, convergence of the

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Quadrature Methods for the Determination of Zeros of Transcendental Functions - A Reviewre based on the classical theory of analytic functions, but, recently, relevant methods based on the elementary theory of real functions were also developed. On the other hand, purely numerical methods were also recently proposed. The common point of these methods is the use of numerical integration

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