Programs in Physics & Physical Chemistry
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Programs in Physics & Physical Chemistry |
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| PROGRAM SUMMARY | ||
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| Manuscript Title: lsjk - a C++ library for arbitrary-precision numeric evaluation of the generalized log-sine functions | ||
| Authors: M.Yu. Kalmykov, A. Sheplyakov | ||
| Program title: lsjk | ||
| Catalogue identifier: ADVS | ||
| Journal reference: Comput. Phys. Commun. 172(2005)45 | ||
| Programming language: C++. | ||
| Computer: all. | ||
| Operating system: POSIX. | ||
| RAM: Depending on the complexity of the problem, at least 32Mb RAM recommended. | ||
| Keywords: Generalized log-sine functions, Feynman integrals, Polylogarithms. | ||
| PACS: 02.30.Gp, 11.10.Gh. | ||
| Classification: 4.4, 4.7. | ||
External routines: The CLN library for arbitrary-precision arithmetics is required at version 1.1.5 or greater. | ||
Nature of problem: Numerical evaluation of the generalized log-sine functions for real argument in the region 0 < θ < π. These functions appear in Feynman integrals. | ||
Solution method: Series representation for the real argument in the region 0 < θ < π. | ||
Restrictions: Limited up to Lsj(9)(θ), and j is an arbitrary integer number. Thus, all function up to the weight 12 in the region 0 < θ < π can be evaluated. The algorithm can be extended up to higher values of k (k > 9) without modification. | ||
Running time: Depending on the complexity of problem. See Table 1 in section 3.4. |
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