عنوان

Numerical Integration :

9400938896

9401082278

9401126461

9789400938892

9789401082273

9789401126465

b546001

Numerical Integration :

[Book]

Recent Developments, Software and Applications

edited by Patrick Keast, Graeme Fairweather.

Dordrecht

Springer Netherlands

1987

(412 pages)

NATO ASI series., Series C,, Mathematical and physical sciences ;, 203.

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.

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

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

Numerical integration -- Data processing -- Congresses.

Numerical integration -- Data processing.

edited by Patrick Keast, Graeme Fairweather.

Graeme Fairweather

Patrick Keast

[Book]

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