The Factorization Method for Inverse Problems (Oxford Lecture Series in Mathematics and Its Applications)

Kirsch, Andreas; Grinberg, Natalia

ISBN 10: 0199213534 / ISBN 13: 9780199213535

Published by Oxford University Press, 2008

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Bibliographic Details

• Title: The Factorization Method for Inverse Problems (Oxford Lecture Series in Mathematics and Its Applications)
• Publisher: Oxford University Press
• Publication Date: 2008
• Language: English
• ISBN 10: 0199213534
• ISBN 13: 9780199213535
• Binding: Hardcover
• Condition: New

About this title

Synopsis

The factorization method is a relatively new method for solving certain types of inverse scattering problems in tomography. Aimed at students and researchers in Applied Mathematics, Physics, and Engineering, this text introduces the reader to this promising approach for solving important classes of inverse problems. The wide applicability of this method is discussed by choosing typical examples, such as inverse scattering problems for the scalar Helmholtz equation, a scattering problem for Maxwell's equation, and a problem in impedance and optical tomography. The last section of the book compares the Factorization Method to established sampling methods (the Linear Sampling Method, the Singular Method, and the Probe Method)

About the Author

Andreas Kirsch is a Professor in the Department of Mathematics at the University of Karlsruhe. Natalia Grinberg is in the Department of Mathematics at the University of Karlsruhe.