ON THE NUMERICAL-INTEGRATION OF WALSH-SERIES BY NUMBER-THEORETIC METHODS

Authors
LARCHER G TRAUNFELLNER C
Citation
G. Larcher et C. Traunfellner, ON THE NUMERICAL-INTEGRATION OF WALSH-SERIES BY NUMBER-THEORETIC METHODS, Mathematics of computation, 63(207), 1994, pp. 277-291
Citations number
21
Categorie Soggetti
Mathematics,Mathematics
Journal title
Mathematics of computation → ACNP
ISSN journal
00255718
Volume
63
Issue
207
Year of publication
1994
Pages
277 - 291
Database
ISI
SICI code
0025-5718(1994)63:207<277:OTNOWB>2.0.ZU;2-5
Abstract
In analogy to the theory of good lattice points for the numerical inte gration of rapidly converging Fourier series, a theory for the fast nu merical integration of Walsh series is developed. The basis for this t heory is provided by a class of very well-distributed point sets in th e s-dimensional unit cube, the so-called (t, m, s)-nets.