Surveys on Solution Methods for Inverse Problems

by Colton, David; Engl, Heinz W.; Louis, Alfred Karl; McLaughlin, Joyce R.; Rundell, William

• ISBN13: 9783211834701
• ISBN10: 3211834702
• Format: Paperback
• Copyright: 2000-05-01
• Publisher: Springer Verlag Wien

Summary

Papers from the conference on 'Mathematical Methods in Inverse Problems for Partial Differential Equations' held in 1998, sponsored by the Joint Summer Research Conferences Programme Committee under the auspices of the AMS, IMS, and SIAM. Papers discuss new or promising methods that could have an impact on a wide variety of inverse problems. Softcover.

Table of Contents

Introduction	1	(6)
D. Colton
H. W. Engl
A. K. Louis
J. R. McLaughlin
W. Rundell
Convergence Rates Results for Iterative Methods for Solving Nonlinear III-Posed Problems	7	(28)
H. W. Engl
O. Scherzer
Iterative Regularization Techniques in Image Reconstruction	35	(18)
M. Hanke
A Survey of Regularization Methods for First-Kind Volterra Equations	53	(30)
P.K. Lamm
Layer Stripping	83	(24)
J. Sylvester
The Linear Sampling Method in Inverse Scattering Theory	107	(12)
D. Colton
P. Monk
A. Kirsch
Carleman Estimates and Inverse Problems in the Last Two Decades	119	(28)
M. V. Klibanov
Local Tomographic Methods in Sonar	147	(8)
A. K. Louis
E. T. Quinto
Efficient Methods in Hyperthermia Treatment Planning	155	(14)
T. Kohler
P. Maass
P. Wust
Solving Inverse Problems with Spectral Data	169	(26)
J. R. McLaughlin
Low Frequency Electromagnetic Fields in High Contrast Media	195	(40)
L. Borcea
G. C. Papanicolaou
Inverse Scattering in Anisotropic Media	235	(18)
G. Uhlmann
Inverse Problems as Statistics	253
P. B. Stark