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Solving Inverse Problems with Spectral Data
2000We consider a two dimensional membrane. The goal is to find properties of the membrane or properties of a force on the membrane. The data is natural frequencies or mode shape measurements. As a result, the functional relationship between the data and the solution of our inverse problem is both indirect and nonlinear.
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An Inverse Spectral Problem W.R.T. Domain
2016In the paper, the inverse problem with respect to (w.r.t.) domain for two-dimensional Schrodinger operator and operator L = ???? is considered. The definition of s-functions is introduced. The method of determination of the domain by a given set of functions is proposed.
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Stochastic spectral methods for efficient Bayesian solution of inverse problems
Journal of Computational Physics, 2007Larry A Rahn
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Spectral estimation and inverse initial boundary value problems
Inverse Problems and Imaging, 2010Sergei Avdonin
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Inverse problems for discontinuous Sturm-Liouville operators with mixed spectral data
Inverse Problems in Science and Engineering, 2015Yu Ping Wang
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Inverse spectral problems for Sturm–Liouville operators with complex weights
Inverse Problems in Science and Engineering, 2018Vjacheslav Yurko
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Radiology in Lung Cancer: Problems and Prospects
Ca-A Cancer Journal for Clinicians, 1975Donna Cross
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Systems of Toda type, inverse spectral problems, and representation theory
Inventiones Mathematicae, 1980William Symes
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Inverse spectral problems for the Sturm–Liouville operator on a d-star graph
Journal of Mathematical Analysis and Applications, 2010Yang Chuan-Fu
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Inverse spectral problems for differential systems on a finite interval
Resultate Der Mathematik, 2013Vjacheslav Yurko
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