An approximate method for solving the inverse scattering problem with fixed-energy data

Journal of Inverse and Ill-Posed Problems

Volumn 7, Issue 6, 1999, Pages 561-572

  Ramm, A G ^a   Scheid, W ^b  

^a KANSAS STATE UNIVERSITY   (United States)

^b JUSTUS LIEBIG UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242606988     PISSN: 09280219     EISSN: None     Source Type: Journal    
DOI: 10.1515/jiip.1999.7.6.561     Document Type: Article

References (12)

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3. M. Miinchow and W. Scheid, Modification of the Newton method for the inverse scattering problem at fixed energy. Phys. Rev. Lett. (1980) 44, 1299–1302.
4. R. Newton, Scattering of Waves and Particles. Springer Verlag, New York, 1982.
5. A. G. Ramm, Optimal estimation from limited noisy data. J. Math. Anal. Appl. (1987) 125, 258–266.
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7. A. G. Ramm, Multidimensional inverse problems and completeness of the products of solutions to PDE. J. Math. Anal. Appl. (1988) 134, 211–253; (1989) 139, 302 (Addenda).
8. A. G. Ramm, Uniqueness theorems for multidimensional inverse problems with unbounded coefficients. J. Math. Anal. Appl. (1988) 136, 568–574.
9. A. G. Ramm, Completeness of the products of solutions of PDE and inverse problems. Inverse Problems (1990) 6, 643–664.
10. A. G. Ramm, Multidimensional Inverse Scattering Problems. Longman/ Wiley, New York, 1992.
11. A. G. Ramm, Stability estimates in inverse scattering. Acta Appl. Math. (1992) 28, No. 1, 1–42.
12. A. G. Ramm and A. B. Smirnova, A numerical method for solving the inverse scattering problem with fixed-energy phase shifts. J. Inv. Ill-Posed Problems (to appear).