Titlebook: Inverse Problems in Mathematical Physics; Proceedings of The L Lassi P?iv?rinta,Erkki Somersalo Conference proceedings 1993 Springer-Verlag

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Present status of the generalized Marchenko method for the solution of the inverse scattering problThe present status of the generalized Marchenko method for the solution of the inverse scattering problem of the Schr?dinger equation in three dimensions is summarized. Gaps and errors in previous publications are filled and corrected, and a new connection between the scattering amplitude and the number of bound-state eigenvalues is pointed out.

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A finite difference method for the inverse scattering problem at fixed frequency,ulting bilinear system can be solved recursively for f and u. We study the stability of this recursion. We find that the method enjoyes some stability properties provided hκ is chosen properly. The complexity of the method is O(h.).

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0075-8450 hearticles arestructured around three closely related topics:Inversescattering problems, inverse boundary value problems, andinverse spectral problems. The applications range fromquantum andelectromagnetic scattering to medical imaging,geophysical sounding of theEarth, and non-destructivematerial ev

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Conference proceedings 1993ors of the volume give extra emphysis to thepedagogical aspects of their presentation to make thiscollection eysily accessible to graduate students as wellasto people working on nearby fields of research.