A Regularised Total Least Squares Approach for 1D Inverse Scattering

We study the inverse scattering problem for a Schrödinger operator related to a static wave operator with variable velocity, using the GLM (Gelfand–Levitan–Marchenko) integral equation. We assume to have noisy scattering data, and we derive a stability estimate for the error of the solution of the G...

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Bibliographic Details
Main Authors: Andreas Tataris, Tristan van Leeuwen
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/2/216