Geodesic
Numerical method for solving the inverse scattering problem, based on the asymptotic regularization
Matematičeskoe modelirovanie, Tome 8 (1996) no. 3, pp. 33-48.

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The numerical method for the inverse problem of quantum scattering theory is suggested. It is based on the two asymptotic regularizations: the first one uses the asymptotic behaviours of the phase shift and of the module of the Jost function for high energies, and the second one – the asymptotics by step of the reciprocals to “almost” Toeplitz and Hankel matrices. The last one permits to avoid the unstable procedure of the numerical differentiation. 
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     author = {R. G. Airapetyan and E. P. Zhidkov and R. L. Shakhbagyan},
     title = {Numerical method for solving the inverse scattering problem, based on the asymptotic regularization},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {33--48},
     publisher = {mathdoc},
     volume = {8},
     number = {3},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1996_8_3_a2/}
}
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R. G. Airapetyan; E. P. Zhidkov; R. L. Shakhbagyan. Numerical method for solving the inverse scattering problem, based on the asymptotic regularization. Matematičeskoe modelirovanie, Tome 8 (1996) no. 3, pp. 33-48. http://geodesic.mathdoc.fr/item/MM_1996_8_3_a2/