The Method of Approximate Inverse : Theory and Applications

Inverse problems arise whenever one tries to calculate a required quantity from given measurements of a second quantity that is associated to the first one. Besides medical imaging and non-destructive testing, inverse problems also play an increasing role in other disciplines such as industrial and...

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Detalhes bibliográficos
Autor principal: Schuster, Thomas, 1971-
Formato: Livre numérique
Idioma:Anglais
Publicado em: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edição:1st ed. 2007.
Colecção:Lecture Notes in Mathematics 1906
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Nota: L'impression du document génère 185 p.
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Edition sous un autre format:• The method of approximate inverse, theory and applications, Thomas Schuster, 2007, Berlin, Springer, 1 volume (XIII-198 pages), Lecture notes in mathematics, 3-540-71226-7
Descrição
Resumo:Inverse problems arise whenever one tries to calculate a required quantity from given measurements of a second quantity that is associated to the first one. Besides medical imaging and non-destructive testing, inverse problems also play an increasing role in other disciplines such as industrial and financial mathematics. Hence, there is a need for stable and efficient solvers. The book is concerned with the method of approximate inverse which is a regularization technique for stably solving inverse problems in various settings such as L2-spaces, Hilbert spaces or spaces of distributions. The performance and functionality of the method is demonstrated on several examples from medical imaging and non-destructive testing such as computerized tomography, Doppler tomography, SONAR, X-ray diffractometry and thermoacoustic computerized tomography. The book addresses graduate students and researchers interested in the numerical analysis of inverse problems and regularization techniques or in efficient solvers for the applications mentioned above
Descrição do item:L'impression du document génère 185 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Bibliografia:Bibliogr. Index
ISBN:9783540712275
ISSN:1617-9692
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