ISSN:
1436-5081
Keywords:
11K38
;
11K45
;
42C10
;
65D30
;
Digital nets
;
digital sequences
;
quasi-Monte Carlo methods
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract A detailed study of digital (t, m, s)-nets and digital (T,s)-sequences constructed over finite rings is carried out. We present general existence theorems for digital nets and sequences and also explicit constructions. Special attention is devoted to the case where the finite ring is a residue class ring of the integers. This study is motivated by the problem of numerical integration of multivariate Walsh series by quasi-Monte Carlo methods, for which we also provide a general error bound.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01298952
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