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Abstract
This work deals with the numerical computation of the inverse Born approximation associated with inverse scattering problems for the nonlinear Schrödinger equation in two space dimensions. We consider both backscattering and fixed angle data. The problem of computing the Born approximation is formulated as a linear inverse problem which is solved using a regularization method. Numerical examples with noisy data are given to illustrate the effectiveness of this method.
Funding source: Academy of Finland
Award Identifier / Grant number: 250215
Received: 2015-06-25
Revised: 2015-10-08
Accepted: 2015-11-06
Published Online: 2015-11-17
Published in Print: 2016-01-01
© 2016 by De Gruyter
