An error analysis for numerical multiple integration. III-Reference-Cited by-同舟云学术

An error analysis for numerical multiple integration. III

Published:1970 Issue:110 Volume:24 Page:301-314
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Barnhill Robert E.,Nielson Gregory M.

Abstract

Asymptotic results of two types are given for minimum norm cubatures, defined on a certain Hubert space of analytic functions. Cubatures with a high degree of precision are realized as the limits of minimum norm cubatures, and an algebraic approach for the determination of efficient rules is derived. Numerical methods and examples are also included.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1970-24-110/S0025-5718-1970-0275665-7/S0025-5718-1970-0275665-7.pdf

Reference16 articles.

1. Zur numerischen Auswertung mehrdimensionaler Integrale;Albrecht, J.;Z. Angew. Math. Mech.,1958

2. An error analysis for numerical multiple integration. I;Barnhill, Robert E.;Math. Comp.,1968

3. Construction of Gauss-Christoffel quadrature formulas;Gautschi, Walter;Math. Comp.,1968

4. W. J. Gordon, Blending-Function Methods of Bivariate and Multivariate Interpolation and Approximation. General Motors Research Report GMR-834, Warren, Michigan, 1968.

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