A Newton-type method for solving an inverse Sturm-Liouville problem

DOI10.1080/17415977.2014.947478zbMath1329.65156OpenAlexW2077314431MaRDI QIDQ3466155

Mihaela-Cristina Drignei

Publication date: 1 February 2016

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2014.947478

zbMATH Keywords

Newton-type methodinverse Sturm-Liouville problemCauchy boundary value problemGoursat boundary value problemsecond-order hyperbolic partial differential equation

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Inverse problems involving ordinary differential equations (34A55) Numerical solution of inverse problems involving ordinary differential equations (65L09)

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Solving symmetric inverse Sturm-Liouville problem using Chebyshev polynomials ⋮ A Numerical Algorithm for a Coupled Hyperbolic Boundary Value Problem ⋮ Spectrum completion and inverse Sturm–Liouville problems ⋮ A direct method for solving inverse Sturm–Liouville problems* ⋮ Solving inverse Sturm–Liouville problem with separated boundary conditions by using two different input data

Cites Work

• A numerical method for solving a Goursat-Cauchy boundary value problem
• The inverse Sturm–Liouville problem. II
• A least-squares functional for solving inverse Sturm–Liouville problems
• The inverse Sturm–Liouville problem III
• Constructibility of an L^2_{{\bb R}}(0\hbox{, }a) solution to an inverse Sturm–Liouville problem using three Dirichlet spectra
• Unnamed Item

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