Treffer: Gratis lattice points for multidimensional integration
Title:
Gratis lattice points for multidimensional integration
Authors:
Source:
Computing. 38:347-353
Publisher Information:
Springer Science and Business Media LLC, 1987.
Publication Year:
1987
Subject Terms:
Probabilistic theory: distribution modulo \(1\), metric theory of algorithms, useful coefficients, quadrature and cubature formulas, Multidimensional problems, Monte-Carlo methods, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, Numerical quadrature and cubature formulas, 01 natural sciences, computational comparisons, Approximate quadratures, pseudo-random numbers
Document Type:
Fachzeitschrift
Article
File Description:
application/xml
Language:
English
ISSN:
1436-5057
0010-485X
0010-485X
DOI:
10.1007/bf02278712
Access URL:
Rights:
Springer TDM
Accession Number:
edsair.doi.dedup.....3a1aadb4c1fab88f433293b38efb078d
Database:
OpenAIRE
Weitere Informationen
The computation of optimal coefficients for higher dimensions s and larger modules N by means of the methods known hitherto leads to practically insurmountable problems regarding the computing time needed. In this note we give a method for computing ''useful coefficients'', where the computation of these coefficients is immediate and where the computing time is practically negligible for any s and N. Whereas the theoretical efficiency of those ''useful coefficients'' is roughly speaking half the efficiency of the best possible coefficients, all practical tests indicate that our methods lead to optimal performance too. A series of computational comparisons between the ''useful coefficients'' and the optimal ones is enclosed.