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" Numerical Integration : "
edited by Patrick Keast, Graeme Fairweather.
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BL
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726269
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b546001
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| Main Entry
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edited by Patrick Keast, Graeme Fairweather.
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| Title & Author
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Numerical Integration : : Recent Developments, Software and Applications\ edited by Patrick Keast, Graeme Fairweather.
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| Publication Statement
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Dordrecht: Springer Netherlands, 1987
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| Series Statement
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NATO ASI series., Series C,, Mathematical and physical sciences ;, 203.
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| Page. NO
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(412 pages)
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| ISBN
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9400938896
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: 9401082278
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: 9401126461
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: 9789400938892
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: 9789401082273
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: 9789401126465
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| Contents
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Theoretical Aspects of One-Dimensional Quadrature --;The convergence of noninterpolatory product integration rules --;Some quadrature rules for finite trigonometric and related integrals --;Modified Clenshaw-Curtis integration and applications to numerical computation of integral transforms --;Fast generation of quadrature rules with some special properties --;Quadrature methods for the determination of zeros of transcendental functions --;a review --;Computation of the index of an analytic function --;Approximate computation of strongly oscillatory integrals with compound precision --;Bounds and approximations for the zeros of classical orthogonal polynomials. Their use in generating quadrature rules. --;Indefinite integration formulas based on the sinc expansion --;On positive quadrature rules --;Quadrature rules with end-point corrections --;comments on a paper by Garloff, Solak and Szydelko --;Comparison of Gauss-Hermite and midpoint quadrature with application to the Voigt function --;Theoretical Aspects of Multiple Quadrature --;On sequences of imbedded integration rules --;Asymptotic expansions and their applications in numerical integration --;Construction of three-dimensional cubature formulae with points on regular and semi-regular polytopes --;Construction of sequences of embedded cubature formulae for circular symmetric planar regions --;On the construction of higher degree three dimensional embedded integration rules --;Fully symmetric integration rules for the unit four-cube --;On the construction of cubature formulae with few nodes using Groebner bases --;Quasi-random sequences for optimization and numerical integration --;Non-fortuitous, non-product, non-fully symmetric cubature structures --;Algorithms, Software and Applications --;A parallelization of adaptive integration methods --;The numerical evaluation of multiple integrals on parallel computers --;Vectorisation of one dimensional quadrature codes --;Performance of self-validating adaptive quadrature --;Using weight functions in self-validating quadrature --;On the construction of a practical Ermakov-Zolotukhin multiple integrator --;Interactive numerical quadrature --;The design of a generic quadrature library in Ada --;The integration of the multivariate normal density function for the triangular method --;Numerical integration in scalar wave scattering, with application to acoustic scattering by fish --;Software Classification and Testing --;Testing multiple integrators --;A package for testing multiple integration subroutines --;A test of some well known one dimensional general purpose automatic quadrature routines --;Development of useful quadrature software, with particular emphasis on microcomputers --;Appendix I: Final Program --;Appendix II: Discussion --;List of Participants --;List of Contributors.
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| Abstract
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Proceedings of the NATO Advanced Research Workshop, Halifax, Canada, August 11-15, 1986
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| Subject
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Numerical integration -- Data processing -- Congresses.
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Numerical integration -- Data processing.
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| Added Entry
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Graeme Fairweather
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Patrick Keast
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| Parallel Title
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Proceedings of the NATO Advanced Research Workshop, Halifax, Canada, August 11-15, 1986
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