Computational methods for some inverse scattering problems

DOI10.1016/j.amc.2008.10.033zbMath1160.65036OpenAlexW2072171774MaRDI QIDQ1004223

Jaemin Shin, Paul E. Sacks

Publication date: 2 March 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.10.033

zbMATH Keywords

numerical examplesSchrödinger equationreconstructioninverse scatteringZakharov-Shabat systemknown asymptotic solutions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Inverse problems involving ordinary differential equations (34A55) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Related Items (4)

Hyperbolic methods for the Landau–Lifschitz inverse scattering problem ⋮ Inverse scattering problems for the Landau-Lifschitz equations ⋮ An accurate \(\mathcal{O}(N^2)\) floating point algorithm for the Crum transform of the KdV equation ⋮ New computational methods for inverse wave scattering with a new filtering technique. Inverse wave scattering

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