On the numerical integration of Walsh series by number-theoretic methods-Reference-Cited by-同舟云学术

On the numerical integration of Walsh series by number-theoretic methods

Published:1994 Issue:207 Volume:63 Page:277-291
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Larcher Gerhard,Traunfellner Claudia

Abstract

In analogy to the theory of good lattice points for the numerical integration of rapidly converging Fourier series, a theory for the fast numerical integration of Walsh series is developed. The basis for this theory is provided by a class of very well-distributed point sets in the s-dimensional unit cube, the so-called (t, m, s)-nets.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1994-63-207/S0025-5718-1994-1234426-9/S0025-5718-1994-1234426-9.pdf

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

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