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arxiv: math-ph/9911039 · v1 · submitted 1999-11-26 · 🧮 math-ph · math.AP· math.MP· math.NA

Stability estimates in inverse scattering

classification 🧮 math-ph math.APmath.MPmath.NA
keywords estimatesscatteringdatadevelopederrorfixed-energyinversionalgorithm
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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

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