Numerical method for solving 3D inverse scattering problems

DOI10.1016/0893-9659(88)90155-3zbMath0713.35097OpenAlexW1965993947MaRDI QIDQ749783

Alexander G. Ramm

Publication date: 1988

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(88)90155-3

zbMATH Keywords

scattering amplitudereconstruction of the potential

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10) Applications to the sciences (65Z05)

Related Items

Multidimensional inverse problems and completeness of the products of solutions to PDE, Numerical method for solving 3D inverse problems of geophysics, Uniqueness theorems for multidimensional inverse problems with unbounded coefficients, Numerical recovery of the 3D potential from fixed energy incomplete scattering data, Necessary and sufficient condition for \(L\) to have property \(C\), Numerical solution of 3D inverse scattering problems with noisy discrete fixed-energy data, Stability of the solution to 3D fixed-energy inverse scattering problem, Stability of the inversion of 3D fixed-frequency scattering data, Uniqueness result for inverse problem of geophysics. II, Property C and an inverse problem for a hyperbolic equation

Cites Work

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• A global uniqueness theorem for an inverse boundary value problem
• Multidimensional inverse problems: Uniqueness theorems
• Uniqueness theorems for multidimensional inverse problems with unbounded coefficients
• Recovery of the potential from fixed-energy scattering data