## 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

### Keywords:

Chandrasekhar function; isotropic scattering

Zbl 1305.82007

CHANDRAS
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