Five-dimensional $K$-optimal lattice rules
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- by J. N. Lyness and Tor Sørevik;
- Math. Comp. 75 (2006), 1467-1480
- DOI: https://doi.org/10.1090/S0025-5718-06-01845-X
- Published electronically: March 13, 2006
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Abstract:
A major search program is described that has been used to determine a set of five-dimensional $K$-optimal lattice rules of enhanced trigonometric degrees up to 12. The program involved a distributed search, in which approximately 190 CPU-years were shared between more than 1,400 computers in many parts of the world.References
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Bibliographic Information
- J. N. Lyness
- Affiliation: Mathematics and Computer Science Division, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439-4844 and School of Mathematics, The University of New South Wales, Sydney 2052, Australia
- Email: lyness@mcs.anl.gov
- Tor Sørevik
- Affiliation: Department of Mathematics, University of Bergen, N-5020 Bergen, Norway
- Email: tor.sorevik@mi.uib.no
- Received by editor(s): September 22, 2004
- Received by editor(s) in revised form: April 25, 2005
- Published electronically: March 13, 2006
- Additional Notes: The first author’s work was supported by the Mathematical, Information, and Computational Sciences Division subprogram of the Office of Advanced Scientific Computing Research, Office of Science, U.S. Department of Energy, under Contract W-31-109-Eng-38
- © Copyright 2006 American Mathematical Society
- Journal: Math. Comp. 75 (2006), 1467-1480
- MSC (2000): Primary 41A55, 41A63, 42A10; Secondary 65D32
- DOI: https://doi.org/10.1090/S0025-5718-06-01845-X
- MathSciNet review: 2219038