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Extremal lattices and the construction of lattice rules
Authors:Nikolay N Osipov  Michael V Noskov
Institution:a Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, B-3001 Heverlee, Belgium
b Institute of Space and Information Technologies, Siberian Federal University, 79 Svobodny, Krasnoyarsk 660041, Russia
Abstract:After introducing the concept of extremal lattices we show how these can be used to construct lattice rules of a high trigonometric degree.
Keywords:Multivariate numerical integration  Lattice rule  Extremal lattice
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