Geodesic
Precise approximation of the cold pressure curves in quantum-statistical atomic model
Matematičeskoe modelirovanie, Tome 20 (2008) no. 6, pp. 111-118 
N. N. Kalitkin; K. I. Lutskiy. Precise approximation of the cold pressure curves in quantum-statistical atomic model. Matematičeskoe modelirovanie, Tome 20 (2008) no. 6, pp. 111-118. http://geodesic.mathdoc.fr/item/MM_2008_20_6_a10/
@article{MM_2008_20_6_a10,
     author = {N. N. Kalitkin and K. I. Lutskiy},
     title = {Precise approximation of the cold pressure curves in quantum-statistical atomic model},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {111--118},
     year = {2008},
     volume = {20},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2008_20_6_a10/}
}
TY  - JOUR
AU  - N. N. Kalitkin
AU  - K. I. Lutskiy
TI  - Precise approximation of the cold pressure curves in quantum-statistical atomic model
JO  - Matematičeskoe modelirovanie
PY  - 2008
SP  - 111
EP  - 118
VL  - 20
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/MM_2008_20_6_a10/
LA  - ru
ID  - MM_2008_20_6_a10
ER  - 
%0 Journal Article
%A N. N. Kalitkin
%A K. I. Lutskiy
%T Precise approximation of the cold pressure curves in quantum-statistical atomic model
%J Matematičeskoe modelirovanie
%D 2008
%P 111-118
%V 20
%N 6
%U http://geodesic.mathdoc.fr/item/MM_2008_20_6_a10/
%G ru
%F MM_2008_20_6_a10

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

Precise approximations were being built in a wide range of volumes for the cold pressure curves in the quantum-statistical atomic model. Different least-square approximations were used: Chebyshev polynomials, the double period method and specially selected basic functions that accounted the asymptotic expansions of quantum-statistical model. The double period method occurs more effective than Chebyshev polynomials for the considered problem. The proposed formulas achieved precision from 0.01% to 0.1%. They are recommended as referenced data.

[1] N. N. Kalitkin, L. V. Ku, “Kvantovo-statisticheskoe uravnenie sostoyaniya”, Fizika plazmy, 2:5 (1976), 858–868

[2] N. N. Kalitkin, L. V. Kuzmina, Tablitsy termodinamicheskikh funktsii veschestva pri vysokoi kontsentratsii energii, preprint No 35, IPM RAN, Moskva, 1975 | MR

[3] N. N. Kalitkin, L. V. Kuzmina., Approksimatsiya kvantovo-statisticheskikh krivykh kholodnogo szhatiya, Preprint No 87, IPM RAN, Moskva, 1981

[4] N. N. Kalitkin, L. V. Kuzmina, “Approksimatsiya i ekstrapolyatsiya tabulirovannykh funktsii”, DAN, 374:4 (2000), 464–468 | MR

[5] N. N. Kalitkin, K. I. Lutskii, “Optimalnye parametry metoda dvoinogo perioda”, Matem. modelirovanie, 19:1 (2007), 57–68 | Zbl

[6] N. N. Kalitkin, K. I. Lutskii, “Approksimatsiya i ekstrapolyatsiya funktsii, zadannykh na neravnomernoi setke. Metod dvoinogo perioda”, Sbornik trudov Kh Vserossiiskoi shkoly-seminara 2003 g. “Sovremennye problemy matematicheskogo modelirovaniya”, Abrau-Dyurso, 2004, 156–161