Author:
Avdonin Sergei A.,Khmelnytskaya Kira V.,Kravchenko Vladislav V.
Abstract
AbstractA method for successive synthesis of a Weyl matrix (or Dirichlet-to-Neumann map) of an arbitrary quantum tree is proposed. It allows one, starting from one boundary edge, to compute the Weyl matrix of a whole quantum graph by adding on new edges and solving elementary systems of linear algebraic equations in each step.
Funder
Consejo Nacional de Ciencia y Tecnología
National Science Foundation
Publisher
Springer Science and Business Media LLC
Reference15 articles.
1. Avdonin, S.A., Kravchenko, V.V.: Method for solving inverse spectral problems on quantum star graphs. J. Inverse Ill-posed Prob. 31(1), 31–42 (2023)
2. Avdonin, S., Kurasov, P.: Inverse problems for quantum trees. Inverse Prob. Imaging 2(1), 1–21 (2008)
3. Avdonin, S., Zhao, Y.: Leaf peeling method for the wave equation on metric tree graphs. Inverse Probl. Imaging 15(2), 185–199 (2021)
4. Avdonin S.A., Khmelnytskaya K.V., Kravchenko V.V.: Reconstruction techniques for quantum trees. arXiv:2302.05970
5. Avdonin S.A., Khmelnytskaya K.V., Kravchenko V.V.: Recovery of a potential on a quantum star graph from Weyl’s matrix. Inverse Prob. Imaging. https://doi.org/10.3934/ipi.2023034
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1. Reconstruction techniques for quantum trees;Mathematical Methods in the Applied Sciences;2024-02-23