Numerical algorithms for inverse Sturm-Liouville problems

In this paper, two classical inverse spectral problems are investigated, namely, the inverse second-order Sturm-Liouville problem and the inverse fourth-order Sturm-Liouville problem. Based on Lidskii’s theorem, we derive trace formulas showing relations between the unknown coefficients and eigenval...

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Bibliographic Details

Published in:	Numerical algorithms Vol. 89; no. 3; pp. 1287 - 1309
Main Authors:	Jiang, Xiaoying, Li, Xiaowen, Xu, Xiang
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.03.2022 Springer Nature B.V
Subjects:	Algebra Algorithms Boundary conditions Computer Science Eigenvalues Lie groups Numeric Computing Numerical Analysis Original Paper Theory of Computation Reconstruction algorithms Trace formulas Inverse spectral problems
ISSN:	1017-1398, 1572-9265
Online Access:	Get full text
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