Regularized quasi-Newton method for inverse scattering problems

DOI10.1016/0895-7177(93)90076-BzbMath0788.65125OpenAlexW1989480281MaRDI QIDQ1309761

Michael V. Klibanov, Semion Gutman

Publication date: 30 May 1994

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(93)90076-b

zbMATH Keywords

iterative algorithmnumerical examplesparameter identificationinverse scatteringweak scatteringHelmholtz differential equationLippman-Schwinger integral equationregularized quasi-Newton method

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse scattering problems in quantum theory (81U40) PDEs in connection with quantum mechanics (35Q40) Applications to the sciences (65Z05)

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Cites Work

• Acoustic propagation in random oceans using the radiation transport equation
• Iterative method for multi-dimensional inverse scattering problems at fixed frequencies
• Recovery of the potential from fixed-energy scattering data
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