Geodesic
Numerical method for the solution of inverse problems generated by perturbations of self-adjoint operators by method of regularized traces
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2013), pp. 23-30

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In the article a new method for the solution of inverse problems generated by perturbations of self-adjoint operators on their spectral characteristics is developed. The method was tested on inverse problems for Sturm–Liouville problems. The results of numerous calculations showed the computational efficiency of the method.
Keywords: inverse spectral problem, perturbation theory, self-adjoint operators, eigen values, eigen functions, incorrectly formulated problems. 
@article{VSGU_2013_6_a2,
     author = {S. I. Kadchenko},
     title = {Numerical method for the solution of inverse problems generated by perturbations of self-adjoint operators by method of regularized traces},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {23--30},
     publisher = {mathdoc},
     number = {6},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2013_6_a2/}
}
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S. I. Kadchenko. Numerical method for the solution of inverse problems generated by perturbations of self-adjoint operators by method of regularized traces. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2013), pp. 23-30. http://geodesic.mathdoc.fr/item/VSGU_2013_6_a2/