Notes on a search for optimal lattice rules

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In this paper some of the results of a recent computer search [CoLy99] for optimal three- and four-dimensional lattice rules of specified trigonometric degree are discussed. The theory is presented in a general frame emphasizing the special nature of lattice rules among the rules of specified trigonometric degree.

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12 pages

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Lyness, J. & Cools, R. July 5, 2000.

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Description

In this paper some of the results of a recent computer search [CoLy99] for optimal three- and four-dimensional lattice rules of specified trigonometric degree are discussed. The theory is presented in a general frame emphasizing the special nature of lattice rules among the rules of specified trigonometric degree.

Physical Description

12 pages

Source

  • 5th International Conference on Cubature Formulas and Their Applications, Krasnoyarsk (RU), 09/12/1999--09/19/1999; Other Information: PBD: 5 Jul 2000; PBD: 5 Jul 2000

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  • Report No.: ANL/MCS/CP-102269
  • Grant Number: W-31109-ENG-38
  • Office of Scientific & Technical Information Report Number: 759069
  • Archival Resource Key: ark:/67531/metadc704339

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  • July 5, 2000

Added to The UNT Digital Library

  • Sept. 12, 2015, 6:31 a.m.

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  • March 23, 2016, 10:36 a.m.

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Lyness, J. & Cools, R. Notes on a search for optimal lattice rules, article, July 5, 2000; Illinois. (digital.library.unt.edu/ark:/67531/metadc704339/: accessed August 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.