ISSN:
1436-5057
Keywords:
AMS Subject Classifications:Primary 41A55, 41A63; Secondary 65D32.
;
Key words.Cubature formulas, trigonometric degree, Smoyak construction.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
Notes:
Abstract. We study cubature formulas for d-dimensional integrals with a high trigonometric degree. To obtain a trigonometric degree $\ell$ in dimension d, we need about $d^\ell/\ell !$ function values if d is large. Only a small number of arithmetical operations is needed to construct the cubature formulas using Smolyak's technique. We also compare different methods to obtain formulas with high trigonometric degree.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s006070050018
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