Cubature rules of prescribed merit
- Argonne National Lab., IL (United States). Mathematics and Computer Science Div.
- New South Wales Univ., Sydney, NSW (Australia). School of Mathematics
We introduce a criterion for the evaluation of multidimensional quadrature, or cubature, rules for the hypercube: this is the merit of a rule, which is closely related to its trigonometric degree, and which reduces to the Zaremba figure of merit in the case of a lattice rule. We derive a family of rules Q{sub k}{sup a} having dimension s and merit 2{sup k}. These rules seem to be competitive with lattice rules with respect to the merit that can be achieved with a given number of abscissas.
- Research Organization:
- Argonne National Lab., IL (United States). Mathematics and Computer Science Div.
- Sponsoring Organization:
- USDOE, Washington, DC (United States); Australian Research Council, Canberra, ACT (Australia)
- DOE Contract Number:
- W-31109-ENG-38
- OSTI ID:
- 211665
- Report Number(s):
- MCS--P437-0594; ON: DE96007616
- Country of Publication:
- United States
- Language:
- English
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