Abstract:
This paper overviews studies dealing with the approximate computation of eigenvalues and eigenfunctions of Sturm–Liouville differential operators by applying methods of the theory of regularized traces. Dorodnicyn’s method and its development in the form of the theory of regularized traces of differential operators are described.
Key words:Sturm-–Liouville differential operators, theory of regularized traces of differential operators, approximate methods for computing eigenvalues and eigenfunctions, Dorodnicyn’s method.