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NA
2007
100views more  NA 2007»
13 years 3 months ago
Periodization strategy may fail in high dimensions
Abstract. We discuss periodization of smooth functions f of d variables for approximation of multivariate integrals. The benefit of periodization is that we may use lattice rules,...
Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski
JC
2006
115views more  JC 2006»
13 years 4 months ago
Randomly shifted lattice rules on the unit cube for unbounded integrands in high dimensions
We study the problem of multivariate integration on the unit cube for unbounded integrands. Our study is motivated by problems in statistics and mathematical finance, where unboun...
Benjamin J. Waterhouse, Frances Y. Kuo, Ian H. Slo...
COMPUTING
2007
118views more  COMPUTING 2007»
13 years 4 months ago
The construction of good extensible Korobov rules
In this paper we introduce construction algorithms for Korobov rules for numerical integration which work well for a given set of dimensions simultaneously. The existence of such ...
Josef Dick, Friedrich Pillichshammer, Benjamin J. ...