Article
On regularizing numerical algorithms for solving the inverse problem of quantum scattering theory
Communications of Joint Institute for Nuclear Research
(1996)
Abstract
The numerical algorithm for the solving the inverse problem of the quantum scattering theory is constructed. The algorithm is based on the discretization of integral equations by means of the Simpson formula and on two asymptotic regularizations. In this connection the inversion procedure for a block Toeplitz matrix is modified. It permits to avoid the unstable procedure of the numerical differentiation. The comparison of the numerical results of the methods based on different discretizations of integral equations is performed.
Disciplines
Publication Date
January 1, 1996
Publisher Statement
International Nuclear Information System (INIS)
Citation Information
Ruben G. Hayrapetyan, J. Busha and E. P. Zhidkov. "On regularizing numerical algorithms for solving the inverse problem of quantum scattering theory" Communications of Joint Institute for Nuclear Research Vol. 27 Iss. 18 (1996) p. 1 - 14 ISSN: 1819-9186 Available at: http://works.bepress.com/ruben-hayrapetyan/49/