Geodesic
Calculation of spectral characteristics of perturbed self-adjoint operators by methods of regularized traces
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Spectral theory, Tome 141 (2017), pp. 61-78.

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We discuss basic theoretical principles underlying new numerical methods of calculation of eigenvalues and eigenfunctions of discrete, semi-bounded from below operators. We present algorithms of finding spectral characteristics by methods of regularized traces and examples related to certain spectral Sturm–Liouville problems.
Keywords: self-adjoint operator, method of regularized traces, numerical methods, spectrum. 
@article{INTO_2017_141_a4,
     author = {S. I. Kadchenko and S. N. Kakushkin},
     title = {Calculation of spectral characteristics of perturbed self-adjoint operators by methods of regularized traces},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {61--78},
     publisher = {mathdoc},
     volume = {141},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2017_141_a4/}
}
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S. I. Kadchenko; S. N. Kakushkin. Calculation of spectral characteristics of perturbed self-adjoint operators by methods of regularized traces. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Spectral theory, Tome 141 (2017), pp. 61-78. http://geodesic.mathdoc.fr/item/INTO_2017_141_a4/