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Numerical integration : recent developments, software, and applications

Author: Patrick Keast; Graeme Fairweather; North Atlantic Treaty Organization. Scientific Affairs Division.
Publisher: Dordrecht, Holland ; Boston : Reidel ; Norwell, MA, U.S.A. : Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers, ©1987.
Series: NATO ASI series., Series C,, Mathematical and physical sciences ;, no. 203.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
Summary:

Proceedings of the NATO Advanced Research Workshop, Halifax, Canada, August 11-15, 1986

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Genre/Form: Conference papers and proceedings
Congresses
Kongresser
Additional Physical Format: Online version:
NATO Advanced Research Workshop on Numerical Integration: Recent Developments, Software, and Applications (1986 : Halifax, N.S.).
Numerical integration.
Dordrecht, Holland ; Boston : Reidel ; Norwell, MA, U.S.A. : Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers, ©1987
(OCoLC)573810576
Online version:
NATO Advanced Research Workshop on Numerical Integration: Recent Developments, Software, and Applications (1986 : Halifax, N.S.).
Numerical integration.
Dordrecht, Holland ; Boston : Reidel ; Norwell, MA, U.S.A. : Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers, ©1987
(OCoLC)631762738
Material Type: Conference publication
Document Type: Book
All Authors / Contributors: Patrick Keast; Graeme Fairweather; North Atlantic Treaty Organization. Scientific Affairs Division.
ISBN: 9027725144 9789027725141
OCLC Number: 15548711
Notes: "Proceedings of the NATO Advanced Research Workshop on Numerical Integration: Recent Developments, Software, and Applications, Halifax, Canada, August 11-15, 1986"--Title page verso.
"Published in cooperation with NATO Scientific Affairs Division."
Description: xiii, 394 pages : illustrations ; 25 cm.
Contents: 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.
Series Title: NATO ASI series., Series C,, Mathematical and physical sciences ;, no. 203.
Responsibility: edited by Patrick Keast and Graeme Fairweather.

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