The Method of Approximate Inverse: Theory and Applications (Paperback)

Thomas Schuster

ISBN 10: 3540712267 / ISBN 13: 9783540712268

Published by Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 2007

About this Item

Paperback. 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. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Seller Inventory # 9783540712268

Bibliographic Details

• Title: The Method of Approximate Inverse: Theory and Applications (Paperback)
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin
• Publication Date: 2007
• Language: English
• ISBN 10: 3540712267
• ISBN 13: 9783540712268
• Binding: Paperback
• Condition: new

About this title

Synopsis

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.

About the Author

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)