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Surveys on Solution Methods for Inverse Problems (Paperback, Softcover reprint of the original 1st ed. 2000)
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Surveys on Solution Methods for Inverse Problems (Paperback, Softcover reprint of the original 1st ed. 2000)
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Inverse problems are concerned with determining causes for observed
or desired effects. Problems of this type appear in many
application fields both in science and in engineering. The
mathematical modelling of inverse problems usually leads to
ill-posed problems, i.e., problems where solutions need not exist,
need not be unique or may depend discontinuously on the data. For
this reason, numerical methods for solving inverse problems are
especially difficult, special methods have to be developed which
are known under the term "regularization methods." This volume
contains twelve survey papers about solution methods for inverse
and ill-posed problems and about their application to specific
types of inverse problems, e.g., in scattering theory, in
tomography and medical applications, in geophysics and in image
processing. The papers have been written by leading experts in the
field and provide an up-to-date account of solution methods for
inverse problems.
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