A finite difference method for an inverse Sturm-Liouville problem in impedance form

DOI10.1007/s11075-015-9968-7zbMath1328.65167OpenAlexW2014493023MaRDI QIDQ891789

Zhengda Huang, Qin Gao, Xiao-liang Cheng

Publication date: 17 November 2015

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-015-9968-7

zbMATH Keywords

convergencefinite difference methodSturm-Liouville operatornumerical experimentcorrectionmodified Newton's methodgeneralized inverse eigenvalue problemmatrix inverse eigenvalue problem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Stability and convergence of numerical methods for ordinary differential equations (65L20) Inverse problems involving ordinary differential equations (34A55) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solutions to inverse eigenvalue problems (65F18) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Related Items (3)

Numerical estimation of the inverse eigenvalue problem for a weighted Helmholtz equation ⋮ Transmutation operators method for Sturm-Liouville equations in impedance form. II: Inverse problem ⋮ Numerical algorithms for inverse Sturm-Liouville problems

Uses Software

• SLEDGE

Cites Work

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