The 'factorization method', discovered by Professor Kirsch, is a relatively new method for solving certain types of inverse scattering problems and problems in tomography. The text introduces the reader to this promising approach and discusses the wide applicability of this method by choosing typical examples. Series: Oxford Lecture Series in Mathematics & Its Applications. Num Pages: 216 pages, Illustrations. BIC Classification: PBW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 240 x 160 x 21. Weight in Grams: 467. . 2007. Illustrated. hardcover. . . . .

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Bibliographic Details

Title: The Factorization Method for Inverse Problems: 36 (Oxford Lecture Series in Mathematics and Its Applications)
Publisher: OUP Oxford
Publication Date: 2007
Language: English
ISBN 10: 0199213534
ISBN 13: 9780199213535
Binding: Hardcover
Condition: New

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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.

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