Approximate computation of eigenvalues and eigenfunctions of Sturm-Liouville differential operators by applying the theory of regularized traces

DOI10.1134/S0965542512030165zbMath1249.34001MaRDI QIDQ2898333

M. K. Kerimov

Publication date: 16 July 2012

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Sturm-Liouville differential operators, theory of regularized traces, approximate computation of eigenvalues and eigenfunctions, Dorodnitsyn's method

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

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Finite-difference proof of the completeness of eigenfunctions of the Sturm-Liouville operator in conservative form

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