Geodesic
Optimality parameter of Korobov parallelepipedal grids for cubature formulas
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 8, pp. 1363-1369

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{ZVMMF_2011_51_8_a0,
     author = {V. A. Bykovskii and S. V. Gassan},
     title = {Optimality parameter of {Korobov} parallelepipedal grids for cubature formulas},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1363--1369},
     publisher = {mathdoc},
     volume = {51},
     number = {8},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_8_a0/}
}
TY  - JOUR
AU  - V. A. Bykovskii
AU  - S. V. Gassan
TI  - Optimality parameter of Korobov parallelepipedal grids for cubature formulas
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2011
SP  - 1363
EP  - 1369
VL  - 51
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_8_a0/
LA  - ru
ID  - ZVMMF_2011_51_8_a0
ER  - 
%0 Journal Article
%A V. A. Bykovskii
%A S. V. Gassan
%T Optimality parameter of Korobov parallelepipedal grids for cubature formulas
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2011
%P 1363-1369
%V 51
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_8_a0/
%G ru
%F ZVMMF_2011_51_8_a0
V. A. Bykovskii; S. V. Gassan. Optimality parameter of Korobov parallelepipedal grids for cubature formulas. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 8, pp. 1363-1369. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_8_a0/