Numerical computation of the inverse Born approximation for the nonlinear Schrödinger equation in two dimensions

DOI10.1515/CMAM-2015-0032zbMath1331.81099OpenAlexW2565541486MaRDI QIDQ901419

Markus Harju

Publication date: 12 January 2016

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2015-0032

zbMATH Keywords

Schrödinger equationnumerical solutioninverse scatteringBorn approximation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse scattering problems in quantum theory (81U40) (2)-body potential quantum scattering theory (81U05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

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