Optimality parameter of Korobov parallelepipedal grids for cubature formulas

When multiple integrals are approximately evaluated using Korobov cubature formulas, it is necessary to introduce a parameter characterizing the uniform distribution of the grid nodes. A new parameter for Korobov parallelepipedal grids is proposed, and an algorithm for its computation is described.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Computational mathematics and mathematical physics 2011-08, Vol.51 (8), p.1273-1279
Hauptverfasser:	Bykovskii, V. A., Gassan, S. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Applied mathematics Computation Computational mathematics Computational Mathematics and Numerical Analysis Cuba Integrals Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Numbers Optimization Studies
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	When multiple integrals are approximately evaluated using Korobov cubature formulas, it is necessary to introduce a parameter characterizing the uniform distribution of the grid nodes. A new parameter for Korobov parallelepipedal grids is proposed, and an algorithm for its computation is described.
ISSN:	0965-5425 1555-6662
DOI:	10.1134/S0965542511080057