Computational Mathematics and Modeling

, Volume 1, Issue 1, pp 28–30 | Cite as

A solution method for the inverse scattering problem

  • A. M. Denisov
  • E. V. Ostrovskii
II. Methods of Solution of Inverse Problems and Computer Techniques
  • 29 Downloads

Abstract

We consider a numerical solution method for the inverse problem of quantum scattering theory based on Tikhonov's regularization method and Newton's method for solving a nonlinear operator equation of second kind.

Keywords

Mathematical Modeling Inverse Problem Computational Mathematic Industrial Mathematic Solution Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Literature Cited

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    K. Chadan and P. Sabatier, Inverse Problems in Quantum Scattering Theory, Springer, New York (1977).Google Scholar
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    A. M. Denisov, "On numerical solution of the inverse scattering problem," Zh. Vychisl. Mat. Mat. Fiz.,17, No. 3 (1977).Google Scholar
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    A. N. Tikhonov and V. Ya. Arsenin, Methods of Solution of Ill-Posed Problems [in Russian], Nauka, Moscow (1979).Google Scholar
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    Ya. Vizner, E. P. Zhidkov, V. Lelek, et al., "Iterative methods of solution of the inverse problem of scattering theory," Fiz. Élem. Chast. At. Yadr.,9, No. 3 (1978).Google Scholar

Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • A. M. Denisov
  • E. V. Ostrovskii

There are no affiliations available

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