Notes on lattice rules

Journal of Complexity

Volumn 19, Issue 3, 2003, Pages 321-331

  Lyness, J N ^a,b  

^a ARGONNE NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038392446     PISSN: 0885064X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0885-064X(03)00005-0     Document Type: Article

References (7)

1. R. Cools, J.N. Lyness, Three- and four-dimensional K-optimal lattice rules of moderate trigonometric degree, Math. Comput. 70 (236) (2001) 1549-1567.
2. R. Cools, I.H. Sloan, Minimal cubature formulae of trigonometric degree, Math. Comput. 65 (216) (1996) 1583-1600 MR 97a:65025.
3. P.M. Gruber, C.G. Lekkerkerker, Geometry of Numbers, North-Holland, Amsterdam, 1987 MR 88j:11034.
4. J.N. Lyness, An introduction to lattice rules and their generator matrices, IMA J. Numer. Anal. 9 (1989) 405-419 MR 91b: 65029.
5. I.P. Mysovskikh, Cubature formulas that are exact for trigonometric polynomials, Metody Vyčisl. 15 (1988) 7-19 (in Russian); MR 90a:65050.
6. M.V. Noskov, Cubature formulae for the approximate integration of functions of three variables, Zh. Vychisl. Mat. Fiz. 28 (1988) 1583-1586 USSR Comput. Maths. Math. Phys. 28 (1988) 200-202 (in English); MR 90j:65042.
7. I.H. Sloan, S. Joe, Lattice Methods for Multiple Integration, Oxford University Press, Oxford, 1994 MR 98a:65026.