Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
Mobile Device Pairing
Green Open Access
Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)


Notes on integration and integer sublattices

Authors: J. N. Lyness, T. Sørevik and P. Keast
Journal: Math. Comp. 56 (1991), 243-255
MSC: Primary 65D32
MathSciNet review: 1052101
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A lattice rule is a quadrature rule over an s-dimensional hypercube, using N abscissas located on an integration lattice. In this paper we study sublattices and superlattices of integration lattices and of integer lattices. We exploit the properties of generator matrices of a lattice to provide an easy and elegant description of the relation between a lattice and a sublattice of given order. We also obtain necessary and sufficient criteria for existence of sublattices and information about the number of these.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65D32

Retrieve articles in all journals with MSC: 65D32

Additional Information

PII: S 0025-5718(1991)1052101-8
Article copyright: © Copyright 1991 American Mathematical Society