Geodesic
Precise approximation of the cold pressure curves in quantum-statistical atomic model
Matematičeskoe modelirovanie, Tome 20 (2008) no. 6, pp. 111-118.

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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. 
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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/

[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