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A construction of polynomial lattice rules with small gain coefficients

โœ Scribed by Jan Baldeaux; Josef Dick


Book ID
105879215
Publisher
Springer-Verlag
Year
2011
Tongue
English
Weight
328 KB
Volume
119
Category
Article
ISSN
0029-599X

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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