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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2008 Volume 20, Number 6, Pages 111–118 (Mi mm2444)

Precise approximation of the cold pressure curves in quantum-statistical atomic model

N. N. Kalitkin, K. I. Lutskiy

Institute for Mathematical Modelling, Russian Academy of Sciences

Abstract: 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.

Received: 21.06.2007



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