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Preprint . 1999
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Acta Applicandae Mathematicae
Article . 1992 . Peer-reviewed
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Stability estimates in inverse scattering

descriptionPublicationkeyboard_double_arrow_right Article , Part of book or chapter of book , Preprint 01 Jul 1992Embargo end date: 01 Nov 1999 English Publisher:Springer Science and Business Media LLCJournal:Acta Applicandae Mathematicae, volume 28, pages 1-42 (issn: 0167-8019, eissn: 1572-9036, Copyright policy )
Authors: Ramm, A. G.;

doi: 10.1007/bf00047029 , 10.1007/978-3-662-13969-1_28 , 10.1007/3-540-57576-6_28 , 10.48550/arxiv.math-ph/9911039

arXiv: math-ph/9911039

Stability estimates in inverse scattering

Abstract

Mathematically rigorous inversion method is developed to recover compactly supported potentials from the fixed-energy scattering data in three dimensions. Error estimates are given for the solution. An algorithm for inversion of noisy discrete fixed-energy #D scattering data is developed and its error estimates are obtained

Related Organizations
Keywords

Inverse problems for PDEs, Numerical Analysis, algorithm, 35R30, 81F15, 73D25, noisy discrete fixed energy data, Analysis of PDEs, FOS: Physical sciences, Mathematical Physics (math-ph), Numerical Analysis (math.NA), Numerical methods for ill-posed problems for integral equations, Scattering theory for PDEs, FOS: Mathematics, Mathematical Physics, Diffraction, scattering, Analysis of PDEs (math.AP)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
26
Average
Top 10%
Top 10%
Green