An inverse spectral problem for a fourth-order Sturm-Liouville operator based on trace formulae

DOI10.1016/j.aml.2020.106654zbMath1452.65208OpenAlexW3045593797MaRDI QIDQ2006349

Xiang Xu, Xiaoying Jiang

Publication date: 8 October 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106654

zbMATH Keywords

reconstruction algorithmtrace formulaefourth-order Sturm-Liouville operator

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Sturm-Liouville theory (34B24) Inverse problems for PDEs (35R30) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fredholm integral equations (45B05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (1)

Numerical algorithms for inverse Sturm-Liouville problems

Cites Work

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