Error bounds for the method of good lattice points-Reference-Cited by-同舟云学术

Error bounds for the method of good lattice points

Published:1991 Issue:193 Volume:56 Page:257-266
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Disney Shaun,Sloan Ian H.

Abstract

New error bounds are obtained for the method of good lattice points for multidimensional quadrature, when m, the number of quadrature points, is prime. One of these bounds reduces the constant in Niederreiter’s asymptotic error bound, if the dimension exceeds 2. Together they give very much smaller numerical bounds for all values of m.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1991-56-193/S0025-5718-1991-1052090-6/S0025-5718-1991-1052090-6.pdf

Reference10 articles.

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3. Zur angenäherten Berechnung mehrfacher Integrale;Hlawka, Edmund;Monatsh. Math.,1962

4. Approximate evaluation of repeated integrals;Korobov, N. M.;Dokl. Akad. Nauk SSSR,1959

5. Some comments on quadrature rule construction criteria;Lyness, J. N.,1988

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