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Improved algorithm for calculating the Chandrasekhar function. (English) Zbl 1306.82002

Summary: Theoretical models of electron transport in condensed matter require an effective source of the Chandrasekhar \(H(x,omega)\) function. A code providing the \(H(x,omega)\) function has to be both accurate and very fast. The current revision of the code published earlier [A. Jablonski, Comput. Phys. Commun. 183, No. 8, 1773–1782 (2012; Zbl 1305.82007)] decreased the running time, averaged over different pairs of arguments \(x\) and \(omega\), by a factor of more than 20. The decrease of the running time in the range of small values of the argument \(x\), less than \(0.05\), is even more pronounced, reaching a factor of 30. The accuracy of the current code is not affected, and is typically better than 12 decimal places.

MSC:

82-04 Software, source code, etc. for problems pertaining to statistical mechanics
82-08 Computational methods (statistical mechanics) (MSC2010)
82C70 Transport processes in time-dependent statistical mechanics
65D30 Numerical integration
65R20 Numerical methods for integral equations

Citations:

Zbl 1305.82007

Software:

CHANDRAS
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