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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Lattice rules for multiple integration and discrepancy


Authors: Harald Niederreiter and Ian H. Sloan
Journal: Math. Comp. 54 (1990), 303-312
MSC: Primary 65D32; Secondary 11H06, 11K38
MathSciNet review: 995212
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Abstract: Upper and lower bounds for the discrepancy of nodes in lattice rules for multidimensional numerical integration are established. In this way the applicability of lattice rules is extended to nonperiodic integrands.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1990-0995212-4
PII: S 0025-5718(1990)0995212-4
Article copyright: © Copyright 1990 American Mathematical Society