Numerical Integration [E-Book] : Recent Developments, Software and Applications / edited by Patrick Keast, Graeme Fairweather.
This volume contains refereed papers and extended abstracts of papers presented at the NATO Advanced Research Workshop entitled 'Numerical Integration: Recent Developments, Software and Applications', held at Dalhousie University, Halifax, Canada, August 11-15, 1986. The Workshop was atten...
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Full text |
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Personal Name(s): | Fairweather, Graeme, editor |
Keast, Patrick, editor | |
Imprint: |
Dordrecht :
Springer,
1987
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Physical Description: |
XIV, 394 p. online resource. |
Note: |
englisch |
ISBN: |
9789400938892 |
DOI: |
10.1007/978-94-009-3889-2 |
Series Title: |
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NATO ASI Series, Series C: Mathematical and Physical Sciences ;
203 |
Subject (LOC): |
- 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.