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The Method of Approximate Inverse: Theory and Applications: 1906 (Lecture Notes in Mathematics) - Softcover
Inhaltsangabe
This book is concerned with the method of approximate inverse which is a regularization technique for stably solving inverse problems in various settings. It demonstrates the performance and functionality of the method on several examples from medical imaging and non-destructive testing, such as computerized tomography, Doppler tomography, SONAR, X-ray diffractometry and thermoacoustic computerized tomography.
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Über die Autorin bzw. den Autor
1990 – 1995 Study of Mathematics at Saarland University Saarbrücken (Germany)
1996 – 2004 Scientific assistant at Saarland University Saarbrücken (Germany)
1999 PhD at Saarland University Saarbrücken (Germany)
2002 – 2003 Research stay at Tufts University Medford, MA (USA)
2004 Habilitation at Saarland University Saarbrücken (Germany)
2004 – 2006 Assistant Professor at Saarland University Saarbrücken (Germany)
2007 – today Associate Professor at the Helmut Schmidt University Hamburg (Germany)
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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.
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- VerlagSpringer Berlin Heidelberg
- Erscheinungsdatum2010
- ISBN 10 3540712267
- ISBN 13 9783540712268
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten216
- Kontakt zum HerstellerNicht verfügbar
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The Method of Approximate Inverse: Theory and Applications (Lecture Notes in Mathematics, 1906)
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The Method of Approximate Inverse: Theory and Applications
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Springer Berlin Heidelberg Mai 2007, 2007
ISBN 10: 3540712267
ISBN 13: 9783540712268
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 216 pp. Englisch. Bestandsnummer des Verkäufers 9783540712268
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The Method of Approximate Inverse: Theory and Applications
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Bestandsnummer des Verkäufers 9783540712268
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The Method of Approximate Inverse: Theory and Applications
Verlag:
Springer Berlin Heidelberg, 2007
ISBN 10: 3540712267
ISBN 13: 9783540712268
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The Method of Approximate Inverse: Theory and Applications
ISBN 10: 3540712267
ISBN 13: 9783540712268
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Taschenbuch
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Taschenbuch. Zustand: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 216 pp. Englisch. Bestandsnummer des Verkäufers 9783540712268
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