A discrete Liouville identity for numerical reconstruction of Schrödinger potentials

DOI10.3934/ipi.2017029zbMath1377.35284arXiv1601.07603OpenAlexW3105705243WikidataQ118126690 ScholiaQ118126690MaRDI QIDQ2360779

Fernando Guevara Vasquez, Liliana Borcea, Alexander V. Mamonov

Publication date: 12 July 2017

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

Full work available at URL: https://arxiv.org/abs/1601.07603

zbMATH Keywords

Schrödinger equationDirichlet to Neumann mapnonlinear preconditionerLiouville transformabsorptive potentials

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Schrödinger operator, Schrödinger equation (35J10) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Signed and weighted graphs (05C22)

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Matrix valued inverse problems on graphs with application to mass-spring-damper systems ⋮ On the Solvability of the Discrete Conductivity and Schrödinger Inverse Problems ⋮ Reduced order models for spectral domain inversion: embedding into the continuous problem and generation of internal data

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