Cubature rules of prescribed merit

SIAM Journal on Numerical Analysis

Volumn 34, Issue 2, 1997, Pages 586-602

  Lyness, J N ^a   Sloan, I H ^b  

^a ARGONNE NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

Cubature; Merit; Multidimensional quadrature

Indexed keywords

EID: 0009286941     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142994267485     Document Type: Article

References (8)

1. F.-J. DELVOS (1990), Boolean methods for double integration, Math. Comp., 55, pp. 683-692.
2. J. N. LYNESS (1989), An introduction to lattice rules and their generator matrices, IMA J. Numer. Anal., 9, pp. 405-419.
3. H. NIEDERREITER (1992), Random Number Generation and Quasi-Monte Carlo Methods. CBMS- NSF 63, SIAM, Philadelphia, PA.
4. I. H. SLOAN AND S. JOE (1994), Lattice Methods for Multiple Integration, Oxford University Press, London.
5. I. H. SLOAN AND P. J. KACHOYAN (1987), Lattice methods for multiple integration: Theory, error analysis and examples, SIAM J. Numer. Anal., 24, pp. 116-128.
6. I. H. SLOAN AND J. N. LYNESS (1989), The representation of lattice quadrature rules as multiple sums, Math. Comput., 52, pp. 81-94.
7. S. A. SMOLJAK (1963), Quadrature and interpolation formulas for tensor products of certain classes of functions, Soviet Math., 4, pp. 240-243.
8. S. K. ZAREMBA (1974), Good latttice points modulo composite numbers, Monatsh. Math., 78, pp. 446-460.