Geodesic
Algorithms for calculating deflection angle and phase shift
Matematičeskoe modelirovanie, Tome 5 (1993) no. 4, pp. 76-88.

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Fast algorithms for calculation of the deflection angle and the phase shift (semiclassical case) are presented in this paper. The algoritms are based on the Runge–Romberg's rule and allow to make a fast and economic calculation with automatic control of accuracy. Some results of the transport coefficients calculations nearby low temperatures are shown and discussed. 
@article{MM_1993_5_4_a4,
     author = {I. V. Repin and I. A. Sokolova},
     title = {Algorithms for calculating deflection angle and phase shift},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {76--88},
     publisher = {mathdoc},
     volume = {5},
     number = {4},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1993_5_4_a4/}
}
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I. V. Repin; I. A. Sokolova. Algorithms for calculating deflection angle and phase shift. Matematičeskoe modelirovanie, Tome 5 (1993) no. 4, pp. 76-88. http://geodesic.mathdoc.fr/item/MM_1993_5_4_a4/