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Construction Algorithms for Good Extensible Lattice Rules

✍ Scribed by Harald Niederreiter; Friedrich Pillichshammer

Book ID
106045788
Publisher
Springer
Year
2009
Tongue
English
Weight
777 KB
Volume
30
Category
Article
ISSN
0176-4276

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✍ Frances Y. Kuo; Stephen Joe πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 272 KB

We develop algorithms to construct rank-1 lattice rules in weighted Korobov spaces of periodic functions and shifted rank-1 lattice rules in weighted Sobolev spaces of non-periodic functions. Analyses are given which show that the rules so constructed achieve strong QMC tractability error bounds. Un